Calculus and Its Applications (11th Edition)
11th Edition
ISBN: 9780321979391
Author: Marvin L. Bittinger, David J. Ellenbogen, Scott J. Surgent
Publisher: PEARSON
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Textbook Question
Chapter 1.3, Problem 26E
Use the following graph to find the average rate of change of the U.S. trade deficit with Japan from 2007 to 2009, from 2009 to 2011, and 2013.
U.S. TRADE DEFICIT WITH JAPAN
(Source; U.S Census Bureau, Statistical Abstract of the United States, 2012.)
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Chapter 1 Solutions
Calculus and Its Applications (11th Edition)
Ch. 1.1 - Complete each of the following statements.
1. As x...Ch. 1.1 - Complete each of the following statements. As x...Ch. 1.1 - Complete each of the following statements. The...Ch. 1.1 - Complete each of the following statements.
4. The...Ch. 1.1 - Complete each of the following statements. The...Ch. 1.1 - Complete each of the following statements.
6. The...Ch. 1.1 - Complete each of the following statements.
7. The...Ch. 1.1 - Complete each of the following statements. The...Ch. 1.1 - Complete each of the following statements. The...Ch. 1.1 - Complete each of the following statements. The...
Ch. 1.1 - For Exercises 11 and 12, consider the function f...Ch. 1.1 - For Exercises 11 and 12, consider the function f...Ch. 1.1 - For Exercises 13 and 14, consider the function g...Ch. 1.1 - For Exercises 13 and 14, consider the function g...Ch. 1.1 - For Exercises 15–22, use the following graph of F...Ch. 1.1 - For Exercises 15–22, use the following graph of F...Ch. 1.1 - For Exercises 15–22, use the following graph of F...Ch. 1.1 - For Exercises 15–22, use the following graph of F...Ch. 1.1 - For Exercises 1522, use the following graph of F...Ch. 1.1 - For Exercises 15–22, use the following graph of F...Ch. 1.1 - For Exercises 15–22, use the following graph of F...Ch. 1.1 - For Exercises 1522, use the following graph of F...Ch. 1.1 - For Exercises 23-30, use the following graph of G...Ch. 1.1 - For Exercises 23-30, use the following graph of G...Ch. 1.1 - For Exercises 23-30, use the following graph of G...Ch. 1.1 - For Exercises 23-30, use the following graph of G...Ch. 1.1 - For Exercises 23-30, use the following graph of G...Ch. 1.1 - For Exercises 23-30, use the following graph of G...Ch. 1.1 - For Exercises 23-30, use the following graph of G...Ch. 1.1 - For Exercises 23-30, use the following graph of G...Ch. 1.1 - For Exercises 31–40, use the following graph of H...Ch. 1.1 - For Exercises 3140, use the following graph of H...Ch. 1.1 - For Exercises 3140, use the following graph of H...Ch. 1.1 - For Exercises 3140, use the following graph of H...Ch. 1.1 - For Exercises 3140, use the following graph of H...Ch. 1.1 - For Exercises 31–40, use the following graph of H...Ch. 1.1 - For Exercises 3140, use the following graph of H...Ch. 1.1 - For Exercises 31–40, use the following graph of H...Ch. 1.1 - For Exercises 31–40, use the following graph of H...Ch. 1.1 - For Exercises 3140, use the following graph of H...Ch. 1.1 - For Exercises 41-50, use the following graph of f...Ch. 1.1 - For Exercises 41-50, use the following graph of f...Ch. 1.1 - For Exercises 41-50, use the following graph of f...Ch. 1.1 - For Exercises 41-50, use the following graph of f...Ch. 1.1 - For Exercises 41-50, use the following graph of f...Ch. 1.1 - For Exercises 41-50, use the following graph of f...Ch. 1.1 - For Exercises 41-50, use the following graph of f...Ch. 1.1 - For Exercises 41-50, use the following graph of f...Ch. 1.1 - For Exercises 41-50, use the following graph of f...Ch. 1.1 - For Exercises 41-50, use the following graph of f...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - For Exercises 51-68, graph each function and then...Ch. 1.1 - Business and Economics
Taxicab fares. In New York...Ch. 1.1 - Taxicab fares. In New York City, taxicabs change...Ch. 1.1 - Taxicab fares. In New York City, taxicabs change...Ch. 1.1 - The Postage function. The cost of sending a large...Ch. 1.1 - The Postage function.
The cost of sending a large...Ch. 1.1 - The Postage function. The cost of sending a large...Ch. 1.1 - The Postage function.
The cost of sending a large...Ch. 1.1 - The Postage function.
The cost of sending a large...Ch. 1.1 - Tax Rate Schedule. The federal tax rate for single...Ch. 1.1 - Tax Rate Schedule. The federal tax rate for single...Ch. 1.1 - Tax Rate Schedule. The federal tax rate for single...Ch. 1.1 - Tax Rate Schedule.
The federal tax rate for heads...Ch. 1.1 - Tax Rate Schedule.
The federal tax rate for heads...Ch. 1.1 - Tax Rate Schedule.
The federal tax rate for heads...Ch. 1.1 - In Exercises 83-58, fill in each blank so that...Ch. 1.1 - In Exercises 83-58, fill in each blank so that...Ch. 1.1 - In Exercises 83-58, fill in each blank so that...Ch. 1.1 - Graph the function f given by...Ch. 1.1 - In Exercises 87-89, use GRAFH and TRACE to find...Ch. 1.1 - In Exercises 87-89, use GRAFH and TRACE to find...Ch. 1.1 - In Exercises 87-89, use GRAFH and TRACE to find...Ch. 1.2 - Classify each statement as either true or...Ch. 1.2 - Prob. 2ECh. 1.2 - Classify each statement as either true or false....Ch. 1.2 - Classify each statement as either true or...Ch. 1.2 - Classify each statement as either true or false....Ch. 1.2 - Classify each statement as either true or false....Ch. 1.2 - Classify each statement as either true or...Ch. 1.2 - Classify each statement as either true or false....Ch. 1.2 - Use the theorem on limits of rational functions to...Ch. 1.2 - Use the theorem on limits of rational functions to...Ch. 1.2 - Use the theorem on limits of rational functions to...Ch. 1.2 - Use the theorem on limits of rational functions to...Ch. 1.2 - Use the theorem on limits of rational functions to...Ch. 1.2 - Use the theorem on limits of rational functions to...Ch. 1.2 - Use the theorem on limits of rational functions to...Ch. 1.2 - Use the theorem on limits of rational functions to...Ch. 1.2 - Use the theorem on limits of rational functions to...Ch. 1.2 - Use the theorem on limits of rational functions to...Ch. 1.2 - For Exercises 19-30, the initial substitution of...Ch. 1.2 - For Exercises 19-30, the initial substitution of ...Ch. 1.2 - For Exercises 19-30, the initial substitution of ...Ch. 1.2 - For Exercises 19-30, the initial substitution of ...Ch. 1.2 - For Exercises 19-30, the initial substitution of...Ch. 1.2 - For Exercises 19-30, the initial substitution of ...Ch. 1.2 - For Exercises 19-30, the initial substitution of ...Ch. 1.2 - For Exercises 19-30, the initial substitution of...Ch. 1.2 - For Exercises 19-30, the initial substitution of...Ch. 1.2 - For Exercises 19-30, the initial substitution of ...Ch. 1.2 - For Exercises 19-30, the initial substitution of...Ch. 1.2 - For Exercises 19-30, the initial substitution of ...Ch. 1.2 - Use the Limit Properties to find the following...Ch. 1.2 - Use the Limit Properties to find the following...Ch. 1.2 - Use the Limit Properties to find the following...Ch. 1.2 - Use the Limit Properties to find the following...Ch. 1.2 - Use the Limit Properties to find the following...Ch. 1.2 - Use the Limit Properties to find the following...Ch. 1.2 - Determine whether each of the function show in...Ch. 1.2 - Determine whether each of the function show in...Ch. 1.2 - Determine whether each of the function show in...Ch. 1.2 - Determine whether each of the function show in...Ch. 1.2 - Determine whether each of the function show in...Ch. 1.2 - Use the graphs and functions in Exercises 37-41 to...Ch. 1.2 - Use the graphs and functions in Exercises 37-41 to...Ch. 1.2 - Use the graphs and functions in Exercises 37-41 to...Ch. 1.2 - Use the graphs and functions in Exercises 37-41 to...Ch. 1.2 - Use the graphs and functions in Exercises 37-41 to...Ch. 1.2 - Answer Exercises 47-48 using the graph...Ch. 1.2 - Answer Exercises 47-48 using the graph...Ch. 1.2 - 49. Is the function given by continuous at ? Why...Ch. 1.2 - Is the function given by f(x)=3x2 continuous at...Ch. 1.2 - Is the function given by G(x)=1x continuous at...Ch. 1.2 - Is the function given by F(x)=x continuous at x=1?...Ch. 1.2 - Is the function given by...Ch. 1.2 - Is the function given by...Ch. 1.2 - Is the function given by...Ch. 1.2 - 56. Is the function given by
Continuous at? Why...Ch. 1.2 - Is the function given by...Ch. 1.2 - Is the function given by...Ch. 1.2 - 59. Is the function given by
Continuous at? Why...Ch. 1.2 - Is the function given by...Ch. 1.2 - Is the function given by...Ch. 1.2 - 62. Is the following given by
Continuous at? Why...Ch. 1.2 - Is the function given by g(x)=1x27x+10 continuous...Ch. 1.2 - 64. Is the function given by continuous at? Why...Ch. 1.2 - Is the function given by G(x)=1x26x+8 continuous...Ch. 1.2 - 66. Is the function given by continuous at? Why...Ch. 1.2 - 67. Is the function given by continuous over the...Ch. 1.2 - 68. Is the function given by continuous over the...Ch. 1.2 - Is the function given by G(x)=1x1 continuous over...Ch. 1.2 - Is the function given by f(x)=1x+3 continuous over...Ch. 1.2 - 71. Is the function given by continuous on?
Ch. 1.2 - 72. Is the function given by continuous on?
Ch. 1.2 - Business and Economics
73. The candy factory sells...Ch. 1.2 - Business and Economics The candy Shoppe charge...Ch. 1.2 - A lab technician controls the temperature T inside...Ch. 1.2 - 76. In Exercises 73, let
Find k such that the...Ch. 1.2 - In Exercises 74, let...Ch. 1.2 - Find each limit, if it exists. If a limit does not...Ch. 1.2 - In Exercises 7986, find each limit. Use TABLE and...Ch. 1.2 - In Exercises 7986, find each limit. Use TABLE and...Ch. 1.2 - In Exercises 7986, find each limit. Use TABLE and...Ch. 1.2 - In Exercises 79–86, find each limit. Use TABLE and...Ch. 1.2 - In Exercises 7986, find each limit. Use TABLE and...Ch. 1.2 - In Exercises 79–86, find each limit. Use TABLE and...Ch. 1.2 - In Exercises 7986, find each limit. Use TABLE and...Ch. 1.2 - In Exercises 79–86, find each limit. Use TABLE and...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For each function in Exercises 1-16, (a) find the...Ch. 1.3 - For Exercises 17-24, use each graph to estimate...Ch. 1.3 - For Exercises 17-24, use each graph to estimate...Ch. 1.3 - For Exercises 17-24, use each graph to estimate...Ch. 1.3 - For Exercises 17-24, use each graph to estimate...Ch. 1.3 - For Exercises 17-24, use each graph to estimate...Ch. 1.3 - For Exercises 17-24, use each graph to estimate...Ch. 1.3 - For Exercises 17-24, use each graph to estimate...Ch. 1.3 - For Exercises 17-24, use each graph to estimate...Ch. 1.3 - 25. Use the following graph to find the average...Ch. 1.3 - 26. Use the following graph to find the average...Ch. 1.3 - 27. Utility. Utility is a type of function that...Ch. 1.3 - 28. Advertising results. The following graph shows...Ch. 1.3 - Prob. 29ECh. 1.3 - 30. Compound interest. The amount of money, in a...Ch. 1.3 - 31. Population change. The population of payton...Ch. 1.3 - Population change. The undergraduate population at...Ch. 1.3 - Total cost. Suppose Fast Trends determines that...Ch. 1.3 - Total revenue. Suppose Fast Trends determines that...Ch. 1.3 - 35. Growth of a baby. The median weights of babies...Ch. 1.3 - 36. Growth of a baby. Use the graph of boys’...Ch. 1.3 - Home range. It has been show that the home range,...Ch. 1.3 - 38. Reader range. The function given by can be...Ch. 1.3 - Memory. The total numbers of words, M(t), that a...Ch. 1.3 - Gas mileage. At the beginning of a trip, the...Ch. 1.3 - Average velocity. In second, an object dropped...Ch. 1.3 - Prob. 42ECh. 1.3 - 43. Population growth. The two curves below...Ch. 1.3 - 44. Business: comparing rate of changes. The...Ch. 1.3 - 45. Rising cost of collage. Like most things, the...Ch. 1.3 - Find the simplified difference quotient for each...Ch. 1.3 - Find the simplified difference quotient for each...Ch. 1.3 - Find the simplified difference quotient for each...Ch. 1.3 - Find the simplified difference quotient for each...Ch. 1.3 - Find the simplified difference quotient for each...Ch. 1.3 - Find the simplified difference quotient for each...Ch. 1.3 - Find the simplified difference quotient for each...Ch. 1.3 - Find the simplified difference quotient for each...Ch. 1.3 - 54. Below are the steps in the simplification of...Ch. 1.3 - For Exercises 55 and 56, find the simplified...Ch. 1.3 - For Exercises 55 and 56, find the simplified...Ch. 1.4 - In Exercises 1-16;
a. a) Graph the...Ch. 1.4 - In Exercises 1-16;
a. a) Graph the...Ch. 1.4 - In Exercises 1-16;
a. a) Graph the...Ch. 1.4 - a.Graph the function. b.Draw tangent lines to the...Ch. 1.4 - In Exercises 1-16;
a. a) Graph the...Ch. 1.4 - In Exercises 1-16;
a. a) Graph the...Ch. 1.4 - In Exercises 1-16;
a. a) Graph the...Ch. 1.4 - a.Graph the function. b.Draw tangent lines to the...Ch. 1.4 - a.Graph the function. b.Draw tangent lines to the...Ch. 1.4 - In Exercises 1-16;
a. a) Graph the...Ch. 1.4 - a. a) Graph the function. b. b) Draw tangent lines...Ch. 1.4 - a. a) Graph the function. b. b) Draw tangent lines...Ch. 1.4 - a. a) Graph the function. b. b) Draw tangent lines...Ch. 1.4 - a. a) Graph the function. b. b) Draw tangent lines...Ch. 1.4 - a. a) Graph the function. b. b) Draw tangent lines...Ch. 1.4 - a.Graph the function. b.Draw tangent lines to the...Ch. 1.4 - 17. Find an equation of the tangent line to the...Ch. 1.4 - 18. Find an equation of the tangent line to the...Ch. 1.4 - 19. Find an equation of the tangent line to the...Ch. 1.4 - 20. Find an equation of the tangent line to the...Ch. 1.4 - 21. Find an equation of the tangent line to the...Ch. 1.4 - 22. Find an equation of the tangent line to the...Ch. 1.4 - Find f(x) for f(x)=mx+b.Ch. 1.4 - Find f(x) for f(x)=ax2+bx.Ch. 1.4 - For Exercises 25-28, list the graph at which each...Ch. 1.4 - For Exercises 25-28, list the graph at which each...Ch. 1.4 - For Exercises 25-28, list the graph at which each...Ch. 1.4 - For Exercises 25-28, list the graph at which each...Ch. 1.4 - 29. Draw a graph that is continuous, but not...Ch. 1.4 - Draw a graph that is continuous, with no corners,...Ch. 1.4 - 31. Draw a graph that has a horizontal tangent...Ch. 1.4 - Draw a graph that is differentiable and has...Ch. 1.4 - Draw a graph that has horizontal tangent lines at...Ch. 1.4 - Draw a graph that is continuous for all x, with no...Ch. 1.4 - 35. The postage function. Consider the postage in...Ch. 1.4 - 36. The taxicab fare function. Consider the...Ch. 1.4 - The end-of-day values of the Dow Jones Industrial...Ch. 1.4 - The end-of-day values of the Dow Jones Industrial...Ch. 1.4 - 39. Which of the lines in the following graph...Ch. 1.4 - On the following graph, use a colored pencil to...Ch. 1.4 - For Exercises 41-48, Find for the given...Ch. 1.4 - For Exercises 41-48, Find f(x) for the given...Ch. 1.4 - For Exercises 41-48, Find f(x) for the given...Ch. 1.4 - For Exercises 41-48, Find f(x) for the given...Ch. 1.4 - For Exercises 41-48, Find f(x) for the given...Ch. 1.4 - For Exercises 41-48, Find f(x) for the given...Ch. 1.4 - For Exercises 41-48, Find for the given...Ch. 1.4 - For Exercises 41-48, Find f(x) for the given...Ch. 1.4 - 49. Consider the function given by
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a. For...Ch. 1.4 - Let f(x)=x2+4x+3x+1=(x+1)(x+3)x+1=x+3. A student...Ch. 1.4 - 54. Let. A student graphs this function, and the...Ch. 1.4 - Let F be a function given by...Ch. 1.4 - Let G be a function given by...Ch. 1.4 - Let H be a function given by...Ch. 1.4 - Use a calculator to check your answer to Exercises...Ch. 1.4 - Prob. 59ECh. 1.4 - Use a calculator to check your answer to Exercises...Ch. 1.4 - Prob. 61ECh. 1.4 - Use a calculator to check your answer to Exercises...Ch. 1.4 - 58-63. Use a calculator to check your answer to...Ch. 1.4 - Business: growth of an investment. A company...Ch. 1.4 - Use a calculate to determine where f(x), does not...Ch. 1.5 - Find dydx. y=x8Ch. 1.5 - Find dydx. y=x7Ch. 1.5 - Find.
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13.
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24.
Ch. 1.5 - Find each derivative.
25.
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27.
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30.
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31.
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33.
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35.
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37.
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40.
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42.
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46.
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48.
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56. If
Ch. 1.5 - 57. Find an equation of the tangent line to the...Ch. 1.5 - Find an equation (in y=mx+b form) of the tangent...Ch. 1.5 - 59. Find an equation of the tangent line to the...Ch. 1.5 - Find an equation of the tangent line to the graph...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each function, find the point on the graph at...Ch. 1.5 - For each the function, find the point on the graph...Ch. 1.5 - For each the function, find the point on the graph...Ch. 1.5 - For each the function, find the point on the graph...Ch. 1.5 - For each the function, find the point on the graph...Ch. 1.5 - For each the function, find the point on the graph...Ch. 1.5 - For each the function, find the point on the graph...Ch. 1.5 - 85. Heading wound. The circumference C, in...Ch. 1.5 - 86. Heading wound. The circular area A, in square...Ch. 1.5 - 87. Growth of a baby. The median weight of a boy...Ch. 1.5 - Prob. 88ECh. 1.5 - 89. Heart rate. The equation
can be used to...Ch. 1.5 - Prob. 90ECh. 1.5 - Population growth rate. In t year, the population...Ch. 1.5 - Median age of women at first marriage. The median...Ch. 1.5 - Prob. 93ECh. 1.5 - Super Bowl ticket prices. The of a ticket to the...Ch. 1.5 - For Exercises 95 and 96, find the interval(s) for...Ch. 1.5 - For Exercises 95 and 96, find the interval(s) for...Ch. 1.5 - Find the points on the graph of y=x443x24 at which...Ch. 1.5 - Find the point on the graph of y=2x6x42 at which...Ch. 1.5 - Use the derivative to help explain why f(x)=x5+x3...Ch. 1.5 - Prob. 100ECh. 1.5 - 101. Use the derivative to help explain why ...Ch. 1.5 - Use the derivative to help explain why f(x)=x3+ax...Ch. 1.5 - Find Each function can be different using the...Ch. 1.5 - Prob. 104ECh. 1.5 - Find dy/dx Each function can be different using...Ch. 1.5 - Find dy/dx Each function can be different using...Ch. 1.5 - Find Each function can be different using the...Ch. 1.5 - Find Each function can be different using the...Ch. 1.5 - Find Each function can be different using the...Ch. 1.5 - Find dy/dx Each function can be different using...Ch. 1.5 - When might Leibniz notation be more convenient...Ch. 1.5 - Prob. 112ECh. 1.5 - Prob. 113ECh. 1.5 - Prob. 114ECh. 1.5 - Prob. 115ECh. 1.5 - Prob. 116ECh. 1.5 - Prob. 117ECh. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate two ways; first, by using the...Ch. 1.6 - Differentiate each function....Ch. 1.6 - Differentiate each function.
22.
Ch. 1.6 - Differentiate each function. y=5x212x3+3Ch. 1.6 - Differentiate each function.
24.
Ch. 1.6 - Differentiate each function.
25.
Ch. 1.6 - Differentiate each function. G(x)=(8x+x)(5x2+3)Ch. 1.6 - Differentiate each function.
27.
Ch. 1.6 - Differentiate each function. f(t)=t5+2t2t4Ch. 1.6 - Differentiate each function. G(x)=(5x4)2Ch. 1.6 - Differentiate each function.
30.
[Hint: ]
Ch. 1.6 - Differentiate each function. y=(x34x)2Ch. 1.6 - Differentiate each function. y=(3x24x+5)2Ch. 1.6 - Differentiate each function....Ch. 1.6 - Differentiate each function.
34.
Ch. 1.6 - Differentiate each function. F(t)=(t+2t)(t23)Ch. 1.6 - Differentiate each function. G(x)=(3t5t2)(t5t)Ch. 1.6 - Differentiate each function. y=x31x2+1+4x3Ch. 1.6 - Differentiate each function. y=x2+1x315x2Ch. 1.6 - Differentiate each function.
39.
Ch. 1.6 - Differentiate each function. y=x+4x35Ch. 1.6 - Differentiate each function. f(x)=x1x+x1Ch. 1.6 - Differentiate each function. f(x)=xx1+1Ch. 1.6 - Differentiate each function. F(t)=1t4Ch. 1.6 - Differentiate each function.
44.
Ch. 1.6 - Differentiate each function. f(x)=3x25xx21Ch. 1.6 - Differentiate each function.
46.
Ch. 1.6 - Differentiate each function. g(x)=t2+3t+5t2+2t+4Ch. 1.6 - Differentiate each function.
48.
Ch. 1.6 - 49. Find an equation of the tangent line to the...Ch. 1.6 - Find an equation of the tangent line to the graph...Ch. 1.6 - 51. Find an equation of the tangent line to the...Ch. 1.6 - Find an equation of the tangent line to the graph...Ch. 1.6 - Average cost. Prestons Leatherworks finds that...Ch. 1.6 - 54. Average cost. Tongue-Tied Sauces, Inc, finds...Ch. 1.6 - Average revenue. Prestons Leatherworks find that...Ch. 1.6 - 56. Average revenue. Tongue-Tied Sauces, Inc,...Ch. 1.6 - Average profit. Use the information in Exercises...Ch. 1.6 - Average profit. Use the information in exercises...Ch. 1.6 - 59. Average profit. Sparkle pottery has determined...Ch. 1.6 - 60. Average profit. Cruzin’ Boards has found that...Ch. 1.6 - Gross domestic produced. The U.S. gross domestic...Ch. 1.6 - Population growth. The population P, in thousands,...Ch. 1.6 - Prob. 63ECh. 1.6 - Differentiate each function.
64. (Hint: Simplify...Ch. 1.6 - Differentiate each function.
65.
Ch. 1.6 - Differentiate each function.
66.
Ch. 1.6 - Differentiate each function. g(x)=(x38)x2+1x21Ch. 1.6 - Differentiate each function. f(t)=(t5+3)t31t3+1Ch. 1.6 - Differentiate each function....Ch. 1.6 - Let f(x)=xx+1 and g(x)=1x+1. a. Compute f(x). b....Ch. 1.6 - 71. Let and .
a. Compute .
b. Compute .
c. c)...Ch. 1.6 - Write a rule for finding the derivative of...Ch. 1.6 - Is the derivative of the reciprocal of f(x) the...Ch. 1.6 - Sensitivity. The reaction R of the body to a dose...Ch. 1.6 - 75. A proof of the Product Rule appears below....Ch. 1.6 - 76. Business. Refer to Exercises 54, 56, and 58....Ch. 1.6 - 77. Business. Refer to Exercises 53, 55, and 58,...Ch. 1.6 - For the function in each of Exercises 78-83, graph...Ch. 1.6 - For the function in each of Exercises 78-83, graph...Ch. 1.6 - For the function in each of Exercises 78-83, graph...Ch. 1.6 - For the function in each of Exercises 78-83, graph...Ch. 1.6 - For the function in each of Exercises 78-83, graph...Ch. 1.6 - For the function in each of Exercises 78-83, graph...Ch. 1.6 - Use a graph to decide which of the following seems...Ch. 1.7 - Differentiate each function.
1. (Check by...Ch. 1.7 - Differentiate each function. y=(2x+1)2 (Check by...Ch. 1.7 - Differentiate each function. y=(7x)55Ch. 1.7 - Differentiate each function.
4.
Ch. 1.7 - Differentiate each function.
5.
Ch. 1.7 - Differentiate each function.
6.
Ch. 1.7 - Differentiate each function. y=3x24Ch. 1.7 - Differentiate each function.
8.
Ch. 1.7 - Differentiate each function.
9.
Ch. 1.7 - Differentiate each function. y=(8x26)40Ch. 1.7 - Differentiate each function.
11.
Ch. 1.7 - Differentiate each function. y=(x+5)7(4x1)10Ch. 1.7 - Differentiate each function. y=1(4x+5)2Ch. 1.7 - Differentiate each function. y=1(3x+8)2Ch. 1.7 - Differentiate each function. y=4x2(7+5x)3Ch. 1.7 - Differentiate each function. y=7x3(49x)5Ch. 1.7 - Differentiate each function. f(x)=(3+x3)5(1+x7)4Ch. 1.7 - Differentiate each function.
18.
Ch. 1.7 - Differentiate each function. f(x)=x2+(200x)2Ch. 1.7 - Differentiate each function. f(x)=x2+(100x)2Ch. 1.7 - Differentiate each function. G(x)=2x13+(4xx)2Ch. 1.7 - Differentiate each function.
22.
Ch. 1.7 - Differentiate each function.
23.
Ch. 1.7 - Differentiate each function.
24.
Ch. 1.7 - Differentiate each function.
25.
Ch. 1.7 - Differentiate each function. g(x)=(3x1)7(2x+1)5Ch. 1.7 - Differentiate each function.
27.
Ch. 1.7 - Differentiate each function. f(x)=x35x+2Ch. 1.7 - Differentiate each function.
29.
Ch. 1.7 - Differentiate each function.
30.
Ch. 1.7 - Differentiate each function.
31.
Ch. 1.7 - Differentiate each function.
32.
Ch. 1.7 - Differentiate each function. g(x)=3+2x5xCh. 1.7 - Differentiate each function. g(x)=4x3+xCh. 1.7 - Differentiate each function. f(x)=(2x33x2+4x+1)100Ch. 1.7 - Differentiate each function. f(x)=(7x4+6x3x)204Ch. 1.7 - Differentiate each function.
37.
Ch. 1.7 - Differentiate each function.
38.
Ch. 1.7 - Differentiate each function. f(x)=x2+xx2xCh. 1.7 - Differentiate each function.
40.
Ch. 1.7 - Differentiate each function. f(x)=(5x4)7(6x+1)3Ch. 1.7 - Differentiate each function.
42.
Ch. 1.7 - Differentiate each function....Ch. 1.7 - Differentiate each function. y=6x2+x3(x46x)3Ch. 1.7 - Find .
45.
Ch. 1.7 - Find .
46.
Ch. 1.7 - Find .
47.
Ch. 1.7 - Find .
48.
Ch. 1.7 - Find dydu,dudx,anddydx. y=(u+1)(u1)andu=x3+1Ch. 1.7 - Find dydu,dudx,anddydx. y=u(u+1)andu=x32xCh. 1.7 - Find dydx for each pair of functions....Ch. 1.7 - Find for each pair of functions.
52.
Ch. 1.7 - Find dydx for each pair of functions....Ch. 1.7 - Find dydx for each pair of functions....Ch. 1.7 - Find dydx for each pair of functions. Find...Ch. 1.7 - Find dydx for each pair of functions. Find...Ch. 1.7 - 57. Find an equation for the tangent line to the...Ch. 1.7 - Find an equation for the tangent line to the graph...Ch. 1.7 - 59. Find an equation for the tangent line to the...Ch. 1.7 - 60. Find an equation for the tangent line to the...Ch. 1.7 - Consider g(x)=(6x+12x5)2. a. Find g(x) using the...Ch. 1.7 - 62. Consider
.
a. Find using the Quotient and...Ch. 1.7 - 63. Let .
Find .
Ch. 1.7 - Let f(u)=u+1u1andg(x)=u=x. Find (fg)(4).Ch. 1.7 - Let f(u)=u3andg(x)=u=1+3x2. Find (fg)(2).Ch. 1.7 - 66. Let .
Find .
Ch. 1.7 - For Exercises 67-70, Use the chain Rule to...Ch. 1.7 - For Exercises 67-70, Use the chain Rule to...Ch. 1.7 - For Exercises 67-70, Use the chain Rule to...Ch. 1.7 - For Exercises 67-70, Use the chain Rule to...Ch. 1.7 - Total revenue. A total-revenue function is given...Ch. 1.7 - Total cost. A total-cost function is given by...Ch. 1.7 - 73. Total profit. Use the total-cost and total...Ch. 1.7 - 74. Total cost. A company determine that its total...Ch. 1.7 - Consumer credit. The total outstanding consumer...Ch. 1.7 - Utility. Utility is a type of function that occurs...Ch. 1.7 - Compound interest. If 1000 is invested at interest...Ch. 1.7 - Compound interest. If 1000 is invested at interest...Ch. 1.7 - 79. Business profit. French’s Electronics is...Ch. 1.7 - Consumer demand. Suppose the demand function for a...Ch. 1.7 - Chemotherapy. The dosage for Carboplatin...Ch. 1.7 - If f(x) is a function, then (f)(x)=f(f(x)) is the...Ch. 1.7 - If f(x) is a function, then (f)(x)=f(f(x)) is the...Ch. 1.7 - If is a function, then is the composition of ...Ch. 1.7 - If f(x) is a function, then (f)(x)=f(f(x)) is the...Ch. 1.7 - Differentiate. y=(2x3)3+1Ch. 1.7 - Differentiate.
87.
Ch. 1.7 - Differentiate. y=(xx1)3Ch. 1.7 - Prob. 89ECh. 1.7 - Differentiate. y=1x21xCh. 1.7 - Differentiate. y=(x2x1x2+1)3Ch. 1.7 - Differentiate.
92.
Ch. 1.7 - Prob. 93ECh. 1.7 - Prob. 94ECh. 1.7 - 95. The Extended Power Rule (for positive integer...Ch. 1.7 - 96. The following is the beginning of an...Ch. 1.7 - For the function in each of Exercises 97 and 98,...Ch. 1.7 - For the function in each of Exercises 97 and 98,...Ch. 1.7 - Prob. 99ECh. 1.7 - Find the derivative of each of the following...Ch. 1.8 - Find .
1.
Ch. 1.8 - Find d2y/dx2. y=x5+9Ch. 1.8 - Find .
3.
Ch. 1.8 - Find .
4.
Ch. 1.8 - Find .
5.
Ch. 1.8 - Find d2y/dx2. y=4x2+3x1Ch. 1.8 - Find d2y/dx2. y=7x+2Ch. 1.8 - Find d2y/dx2. y=6x3Ch. 1.8 - Find .
9.
Ch. 1.8 - Find .
10.
Ch. 1.8 - Find .
11.
Ch. 1.8 - Find d2y/dx2. y=x4Ch. 1.8 - Find f(x). f(x)=x35xCh. 1.8 - Find f(x). f(x)=x4+3xCh. 1.8 - Find .
15.
Ch. 1.8 - Find .
16.
Ch. 1.8 - Find .
17.
Ch. 1.8 - Find f(x). f(x)=4x3Ch. 1.8 - Find .
19.
Ch. 1.8 - Find f(x). f(x)=(x3+2x)6Ch. 1.8 - Find .
21.
Ch. 1.8 - Find f(x). f(x)=(2x23x+1)10Ch. 1.8 - Find .
23.
Ch. 1.8 - Find f(x). f(x)=(x21)23Ch. 1.8 - Find y. y=x3/25xCh. 1.8 - Find y. y=x2/3+4xCh. 1.8 - Find y. y=(x3x)3/4Ch. 1.8 - Find y. y=(x4+x)2/3Ch. 1.8 - Find .
29.
Ch. 1.8 - Find y. y=2x5/4+x1/2Ch. 1.8 - Find y. y=2x3+1x2Ch. 1.8 - Find y. y=3x41xCh. 1.8 - Find y. y=(x2+3)(4x1)Ch. 1.8 - Find y. y=(x2+3)(4x1)Ch. 1.8 - Find y. y=3x+12x3Ch. 1.8 - Find y. y=2x+35x1Ch. 1.8 - For y=x5, find d4y/dx4.Ch. 1.8 - 38. For , find .
Ch. 1.8 - 39. For , find .
Ch. 1.8 - 40. For , find .
Ch. 1.8 - 41. For , find .
Ch. 1.8 - For f(x)=x2x1/2, find f(4)(x).Ch. 1.8 - For g(x)=x43x37x26x+9, find g(6)(x).Ch. 1.8 - 44. For , find .
Ch. 1.8 - Given s(t)=10t2+2t+5, where s(t) is in meters and...Ch. 1.8 - Given s(t)=t3+t where s(t) is in feet and t is in...Ch. 1.8 - 47. Given
,
where is in miles and t is in hours,...Ch. 1.8 - 48. Given
,
where is in meters and t is in...Ch. 1.8 - Free fall. When an object is dropped the distance...Ch. 1.8 - 50. Free fall. (See Exercises 49.) Suppose a...Ch. 1.8 - Free fall. Find the velocity and acceleration of...Ch. 1.8 - 52. Free fall. Find the velocity and acceleration...Ch. 1.8 - 53. The following graph describes a bicycle...Ch. 1.8 - The following graph describes an airplanes...Ch. 1.8 - Sales. The following graph represents the sales,...Ch. 1.8 - Velocity and acceleration. The following graph...Ch. 1.8 - 57. Sales. A company determine that monthly sales...Ch. 1.8 - Sales. Nadias fashions discovers that the number...Ch. 1.8 - Population. The function P(t)=2000t4t+75 gives the...Ch. 1.8 - 60. Medicine. A medication is injected into the...Ch. 1.8 - Prob. 61ECh. 1.8 - Find y for each function. y=12x+1Ch. 1.8 - Find y for each function. y=x+1x1Ch. 1.8 - Find y for each function. y=xx1Ch. 1.8 - For y=xk, find d5y/dx5.Ch. 1.8 - Prob. 66ECh. 1.8 - Prob. 67ECh. 1.8 - Prob. 68ECh. 1.8 - 69. Free fall. On Earth, all free-fall distance...Ch. 1.8 - Free fall. On the moon, all free-fall distance...Ch. 1.8 - 71. Hang time. On Earth, an object travels after ...Ch. 1.8 - Free fall. Skateboarder Danny way free-fell 28 ft...Ch. 1.8 - An object rolls 1 m in 1 min. Below are four...Ch. 1.8 - A bicyclists distance from her starting point is...Ch. 1.8 - Prob. 75ECh. 1.8 - Prob. 76ECh. 1.8 - Prob. 77ECh. 1.8 - Indeterminate Forms and IHopitals Rule, Let f and...Ch. 1.8 - Prob. 79ECh. 1.8 - Prob. 80ECh. 1.8 - Prob. 81ECh. 1.8 - Prob. 82ECh. 1.8 - Indeterminate Forms and IHopitals Rule, Let f and...Ch. 1.8 - Prob. 84ECh. 1.8 - Prob. 85ECh. 1.8 - Prob. 86ECh. 1.8 - Prob. 87ECh. 1.8 - For the distance function in each of Exercises...Ch. 1.8 - For the distance function in each of Exercises...Ch. 1 - Classify each statement as either true or false....Ch. 1 - Classify each statement as either true or false....Ch. 1 - Classify each statement as either true or...Ch. 1 - Classify each statement as either true or...Ch. 1 - Classify each statement as either true or...Ch. 1 - Classify each statement as either true or...Ch. 1 - Classify each statement as either true or...Ch. 1 - Classify each statement as either true or...Ch. 1 - Match each function in column A with the most...Ch. 1 - Match each function in column A with the most...Ch. 1 - Match each function in column A with the most...Ch. 1 - Match each function in column A with the most...Ch. 1 - Match each function in column A with the most...Ch. 1 - Match each function in column A with the most...Ch. 1 - For Exercises 15-17, consider...Ch. 1 - For Exercises 15-17, consider...Ch. 1 - For Exercises 15-17, consider
.
17. Limit...Ch. 1 - Find each limit, if it exists. If a limit does not...Ch. 1 - Find each limit, if it exists. If a limit does not...Ch. 1 - Find each limit, if it exists. If a limit does not...Ch. 1 - Find each limit, if it exists. If a limit does not...Ch. 1 - For Exercises 22-30, consider the function g...Ch. 1 - For Exercises 22-30, consider the function g...Ch. 1 - For Exercises 22-30, consider the function g...Ch. 1 - For Exercises 22-30, consider the function g...Ch. 1 - For Exercises 22-30, consider the function g...Ch. 1 - For Exercises 22-30, consider the function g...Ch. 1 - For Exercises 22-30, consider the function g...Ch. 1 - For Exercises 22-30, consider the function g...Ch. 1 - For Exercises 22-30, consider the function g...Ch. 1 - For Exercises 31-34, consider the function f...Ch. 1 - For Exercises 31-34, consider the function f...Ch. 1 - For Exercises 31-34, consider the function f...Ch. 1 - For Exercises 31-34, consider the function f...Ch. 1 - 35. For find the average rate of change as x...Ch. 1 - Find a simplified difference quotient for...Ch. 1 - 37. Find a simplify difference quotient for
.
Ch. 1 - 38. Find an equation of the tangent line to the...Ch. 1 - 39. Find the point(s) on the graph of at which...Ch. 1 - 40. Find the point(s) on the graph of at which...Ch. 1 - Find .
41.
Ch. 1 - Find dy/dx. y=8x3 [1.5]Ch. 1 - Find .
43.
Ch. 1 - Find dy/dx. y=15x2/5 [1.5]Ch. 1 - Find .
45.
Ch. 1 - Differentiate. f(x)=512x6+8x42x [1.5]Ch. 1 - Differentiate.
47.
Ch. 1 - Differentiate. y=x2+88x [1.6]Ch. 1 - Differentiate.
49.
Ch. 1 - Differentiate. f(x)=(x53)7 [1.7]Ch. 1 - Differentiate. f(x)=x2(4x+2)3/4 [1.7]Ch. 1 - 52. For .
Ch. 1 - For y=342x710x3+13x2+28x2,findy. [1.8]Ch. 1 - 54. Social science: growth rate. The population of...Ch. 1 - For Exercises 55-58, consider the growth of , the...Ch. 1 - For Exercises 55-58, consider the growth of , the...Ch. 1 - For Exercises 55-58, consider the growth of...Ch. 1 - For Exercises 55-58, consider the growth of...Ch. 1 - For s(t)=t+t4, with t in seconds and s(t) in feet,...Ch. 1 - Business: average revenue, cost, and profit. Given...Ch. 1 - Find ddx(fg)(x) and ddx(gf)(x), given f(x)=x2+5...Ch. 1 - Prob. 62RECh. 1 - Prob. 63RECh. 1 - Prob. 64RECh. 1 - Prob. 65RECh. 1 - Prob. 66RECh. 1 - For Exercises 1-3, consider
,
1. Numerical...Ch. 1 - For Exercises 1-3, consider...Ch. 1 - For Exercises 1-3, consider...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - For Exercises 4-15, consider the function f...Ch. 1 - Determine whether each function is continuous. If...Ch. 1 - Determine whether each function is continuous. If...Ch. 1 - For Exercises 18 and 19, consider the function...Ch. 1 - For Exercises 18 and 19, consider the function...Ch. 1 - Find each limit, if it exists. If a limit does not...Ch. 1 - Find each limit, if it exists. If a limit does not...Ch. 1 - Find each limit, if it exists. If a limit does not...Ch. 1 - Find the simplified difference quotient for...Ch. 1 - Find an equation of the line tangent to y=x+(4/x)...Ch. 1 - 25. Find the point(s) on the graph of at which...Ch. 1 - Find dy/dx y=x23Ch. 1 - Find
27.
Ch. 1 - Find dy/dx y=10xCh. 1 - Find dy/dx y=x5/4Ch. 1 - Find dy/dx y=0.5x2+0.61x+90Ch. 1 - Differentiate y=13x3x2+2x+4Ch. 1 - Differentiate
32.
Ch. 1 - Differentiate f(x)=x5xCh. 1 - Differentiate f(x)=(x+3)4(7x)5Ch. 1 - Differentiate y=(x54x3+x)5Ch. 1 - Differentiate
36.
Ch. 1 - Differentiate For y=x43x2 find d3ydx3.Ch. 1 - 38. Social science: memory. In a certain memory...Ch. 1 - Business: average revenue, cost, and profit. Given...Ch. 1 - For Exercises 40 and 41, let and .
40. Find
Ch. 1 - For Exercises 40 and 41, let f(x)=x2x and...Ch. 1 - A ball is placed on an inclined plane and, due to...Ch. 1 - Prob. 43TCh. 1 - Find limx3x327x3.Ch. 1 - Prob. 45TCh. 1 - Find the following limit by creating a table of...Ch. 1 - Plot the points and connect them with line...Ch. 1 - 2. a. a) Use REGRESSION to find a cubic...Ch. 1 - 3. a. a) Use REGRESSION to find a quartic...Ch. 1 - a. a) Although most calculate cannot fit such a...Ch. 1 - Prob. 5ETECh. 1 - Prob. 6ETECh. 1 - Prob. 7ETECh. 1 - Prob. 8ETE
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- The Oxford Dictionary defines the word nominal asa value that is “stated or expressed but notnecessarily corresponding exactly to the real value.[18]Develop a reasonable argument for why the termnominal rate is used to describe the annual percentagerate of an investment account that compoundsinterest.arrow_forwardTable 6 shows the year and the number ofpeople unemployed in a particular city for several years. Determine whether the trend appears linear. If so, and assuming the trend continues, in what year will the number of unemployed reach 5 people?arrow_forwardSuppose admission to a movie cost $7.50 in 2005. What was its price in 1979 dollars? Assume that all prices have risen at the same rate as the CPI. The price was about $ in 1979. (Round to the nearest cent.) Average Annual Consumer Price Index (CPI) (1982- 1984=100) Year CPI Year CPI Year CPI 1976 56.9 1989 124.0 2001 177.1 1977 60.6 1990 130.7 2002 179.9 2003 184.0 1978 65.2 1991 136.2 1992 1979 72.6 140.3 2004 188.9 1980 82.4 1993 144.5 2005 90.9 1994 148.2 2006 2007 1981 1982 96.5 1983 99.6 1984 103.9 1985 107.6 1995 152.4 1996 156.9 2008 1997 160.5 2009 1998 163.0 2010 1986 109.6 1999 166.6 2011 1987 113.6 2000 172.2 2012 1988 118.3 195.3 201.6 207.3 215.3 214.5 218.1 224.9 229.6arrow_forward
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- Official unemployment rates for the U.S. population are reportedon a monthly basis by the Bureau of Labor Statistics.For the period October, 2011, through January, 2012, theofficial unemployment rates were 8.9% (Oct.), 8.7% (Nov.),8.5% (Dec.), and 8.3% (Jan.). (Source: U.S. Bureau of LaborStatistics, www.bls.gov.) If the unemployment rateswere to continue to decrease following a linear model,(a) predict the unemployment rate on January, 2013.(b) predict when the United States would reach a zero unemploymentrate.arrow_forward5. A recent article stated that San Francisco rents dropped 3.2% each month from April 2020 through September 2020. if the average rent for a studio apartment was $2445 in June, what was the average rent for that same apartment type in May and July. For each, write a calculation month calculation average rent May June N/A $2445 Julyarrow_forwardAccording to the World Bank (Source: http://data.worldbank.org/indicator/ IT.CEL. SETS/countries/1W?display=graph), the total numbers of mobile phone sub- scriptions in 2008 and 2012 are 4,028,070,041 and 6,264,810,140, respectively. Find the average rate of growth (number of subscriptions per year).arrow_forward
- Twins Twins are often born after a pregnancy that lastsless than 9 months. On the next page is a graph from theJournal of the American Medical Association (JAMA)showing the rate of preterm twin births in the United States over the past 20 years. In this study, JAMA catego-rized mothers by the level of prenatal medical care they received: inadequate, adequate, or intensive.a) Describe the overall trend in preterm twin births. b) Describe any differences you see in this trend, depend-ing on the level of prenatal medical care the mother received.c) Should expectant mothers be advised to cut back onthe level of medical care they seek in the hope ofavoiding preterm births? Explain.a) Create a linear model and predict the number ofgallons that will be available in 2005.b) The exam then asked students to estimate the yearwhen leaded gasoline will first become unavailable,expecting them to use the model from part a to answerthe question. Explain why that method is incorrect.c) Create a model…arrow_forwardMazars is an integral player in auditing, accounting, tax and advisory services in South Africa. A seasonal analysis was done on their sales for the period between 2009 and 2014 and the Median Seasonal Index's and the Adjusted Seasonal index's was calculated for each quarter as reflected below. Median seasonal Index Adjusted seasonal index Quarter 1 79.5660 79.0886 Quarter 2 85.3333 84.8213 Quarter 3 135.9855 135.1696 Quarter 4 101.5385 100.9293 Total 400.00 Each adjusted seasonal index measures the magnitude of seasonal influence on the actual values of the time series for a given period within the year. Interpret the seasonal analysis results for Quarter 1arrow_forwardJohn Kittle, an independent insurance agent, uses a five-year moving average to forecast the number of claims made in a single year for one of the large insurance companies he sells for. He has just discovered that a clerk in his employ incorrectly entered the number of claims made four years ago as 1,400 when it should have been 1,200.a. What adjustment should Mr. Kittle make in next year’s forecast to take into account the corrected value of the number of claims four years ago?b. Suppose that Mr. Kittle used simple exponential smoothing with a = .2instead of moving averages to determine his forecast. What adjustment is now required in next year’s forecast? (Note that you do not need to know the value of the forecast for next year in order to solve this problem.)arrow_forward
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