CALCULUS WITH APPLICATIONS
11th Edition
ISBN: 2818440028625
Author: Lial
Publisher: ELSEVIER
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Chapter 4.4, Problem 45E
(a)
To determine
To estimate: The Hispanic population in the United States for the year 2015.
(b)
To determine
To estimate: The instantaneous rate of change of the Hispanic population when
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Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in dollars) given by the function S'(x), where x is the number of years of
operation of the machine, while producing a rate of annual costs (in dollars) given by the function C'(x)
S'(x) 100-x², C'(x) = x² +
14
-X.
3
a. For how many years will it be profitable to use this new machine?
The number of profitable years is
b. What are the net total savings during the first year of use of the machine?
The net total savings during the first year of use of the machine is $
(Round to the nearest dollar as needed.)
c. What are the net total savings over the entire period of use of the machine?
The net total savings over the entire period of use of the machine is $
(Round to the nearest dollar as needed.)
1 Written problems
1. Solve x'
0 1
-1
0
]
x +
Please help me answer questions 1-18. I've been searching the internet and I know this is really easy. I just need the correct answers with simple explanations. Every AI is telling me different things. I don't get it and I'm on the verge of tears. Please help a girl out. Yes, I got a 19%....
Chapter 4 Solutions
CALCULUS WITH APPLICATIONS
Ch. 4.1 - YOUR TURN 1 find f′(t).
Ch. 4.1 - YOUR TURN 2 find dy/dx.
Ch. 4.1 - Prob. 3YTCh. 4.1 - Prob. 4YTCh. 4.1 - Prob. 5YTCh. 4.1 - Prob. 1WECh. 4.1 - Prob. 2WECh. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...
Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Prob. 21ECh. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - 23. Which of the following describes the...Ch. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Find each derivative.
27.
Ch. 4.1 - Find each derivative.
28.
Ch. 4.1 - Prob. 29ECh. 4.1 - Find each derivative.
30.f′(3) if
Ch. 4.1 - In Exercises 31-34, find the slope of the tangent...Ch. 4.1 - In Exercises 31-34, find the slope of the tangent...Ch. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - In Exercises 37-40, for each function find all...Ch. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - In Exercises 37-40, for each function find all...Ch. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - 44. If g′(5) = 12 and h′ (5) = −3, find f′ (5) for...Ch. 4.1 - Prob. 45ECh. 4.1 - 46. Use the information given in the figure to...Ch. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - 65. Track and Field In 1906 Kennelly developed a...Ch. 4.1 - Prob. 66ECh. 4.1 - Prob. 67ECh. 4.1 - Prob. 68ECh. 4.1 - Prob. 69ECh. 4.1 - Velocity We saw in the previous chapter that if a...Ch. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.1 - 73. Velocity A ball is thrown vertically upward...Ch. 4.1 - 74. Dead Sea Researchers who have been studying...Ch. 4.1 - Prob. 75ECh. 4.1 - 76. AP Examination The probability (as a percent)...Ch. 4.1 - 77. Dog’s Human Age From the data printed in the...Ch. 4.2 - YOUR TURN 1 Find the derivative of y = (x3 + 7)(4...Ch. 4.2 - YOUR TURN 2 Find f′(x) if
Ch. 4.2 - Prob. 3YTCh. 4.2 - Prob. 4YTCh. 4.2 - Prob. 1WECh. 4.2 - Prob. 2WECh. 4.2 - Prob. 3WECh. 4.2 - Prob. 1ECh. 4.2 - Use the product rule to find the derivative of the...Ch. 4.2 - Use the product rule to find the derivative of the...Ch. 4.2 - Use the product rule to find the derivative of the...Ch. 4.2 - Use the product rule to find the derivative of the...Ch. 4.2 - Use the product rule to find the derivative of the...Ch. 4.2 - Use the product rule to find the derivative of the...Ch. 4.2 - Use the product rule to find the derivative of the...Ch. 4.2 - Use the product rule to find the derivative of the...Ch. 4.2 - Use the product rule to find the derivative of the...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Prob. 29ECh. 4.2 - Use the quotient rule to find the derivative of...Ch. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - 34. Find an equation of the line tangent to the...Ch. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - 38. Use the fact that f(x) = u(x)/v(x) can be...Ch. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - 48. Revenue Suppose that at the beginning of the...Ch. 4.2 - Prob. 49ECh. 4.2 - 50. Muscle Reaction When a certain drug is...Ch. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - 54. Memory Retention Some psychologists contend...Ch. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.3 - YOUR TURN 1 For the functionsin Example 1, find...Ch. 4.3 - Prob. 2YTCh. 4.3 - Prob. 3YTCh. 4.3 - Prob. 4YTCh. 4.3 - Prob. 5YTCh. 4.3 - Prob. 6YTCh. 4.3 - Prob. 7YTCh. 4.3 - Prob. 1WECh. 4.3 - Prob. 2WECh. 4.3 - Prob. 3WECh. 4.3 - Prob. 1ECh. 4.3 - Let f(x) = 5x2 − 2x and g(x) = 8x + 3.
2....Ch. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Find f[g(x)] and g[f(x)].
8. f(x) = −8x + 9;
Ch. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Find f[g(x)] and g[f(x)].
12. f(x) = 8x2 − 11x;
Ch. 4.3 - Find f[g(x)] and g[f(x)].
13. ;
Ch. 4.3 - Find f[g(x)] and g[f(x)].
14. ;
Ch. 4.3 - Prob. 15ECh. 4.3 - Write each function as the composition of two...Ch. 4.3 - Prob. 17ECh. 4.3 - Write each function as the composition of two...Ch. 4.3 - Prob. 19ECh. 4.3 - Write each function as the composition of two...Ch. 4.3 - Prob. 21ECh. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Find the derivative of each function defined as...Ch. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Prob. 45ECh. 4.3 - In Exercises 45-48, find the equation of the...Ch. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - 52. Mrugy and Nate are working on taking the...Ch. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - 56. Demand Suppose a demand function is given...Ch. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - 63. To test an individual’s use of calcium, a...Ch. 4.3 - Prob. 64ECh. 4.4 - YOUR TURN 1 Find dy/dx for
y = 43x,
y = e3x+5.
Ch. 4.4 - Prob. 2YTCh. 4.4 - Prob. 3YTCh. 4.4 - Prob. 4YTCh. 4.4 - Prob. 1WECh. 4.4 - Prob. 2WECh. 4.4 - Prob. 3WECh. 4.4 - Prob. 1ECh. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Prob. 21ECh. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Prob. 32ECh. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Find derivatives of the functions defined as...Ch. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - 40. Sales The sales of a new personal computer (in...Ch. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - 44. Investment The value of a particular...Ch. 4.4 - Prob. 45ECh. 4.4 - 46. Population Growth In Section 10.4, Exercise...Ch. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - 63. The Gateway Arch The Gateway Arch in St....Ch. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.5 - YOUR TURN 1 Find the derivative of f(x) = log3x.
Ch. 4.5 - Prob. 2YTCh. 4.5 - Prob. 3YTCh. 4.5 - Prob. 1WECh. 4.5 - Prob. 2WECh. 4.5 - Prob. 3WECh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Find the derivative of each function.
4. y = ln(1...Ch. 4.5 - Prob. 5ECh. 4.5 - Find the derivative of each function.
6. y =...Ch. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Find the derivative of each function.
9.
Ch. 4.5 - Prob. 10ECh. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Prob. 24ECh. 4.5 - Prob. 25ECh. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Prob. 29ECh. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Prob. 40ECh. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Find the derivative of each of the following...Ch. 4.5 - Prob. 45ECh. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - Prob. 49ECh. 4.5 - Prob. 50ECh. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Use the ideas from Exercise 53 to find the...Ch. 4.5 - Prob. 55ECh. 4.5 - Prob. 56ECh. 4.5 - 57. Revenue Suppose the demand function for q...Ch. 4.5 - 58. Profit If the cost function in dollars for q...Ch. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Prob. 61ECh. 4.5 - Prob. 62ECh. 4.5 - Prob. 63ECh. 4.5 - Prob. 64ECh. 4.5 - Prob. 65ECh. 4.5 - Prob. 66ECh. 4.5 - 67. Richter Scale Richter Scale The Richter scale...Ch. 4.5 - Prob. 68ECh. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Use the rules for derivatives to find the...Ch. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Use the rules for derivatives to find the...Ch. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Use the rules for derivatives to find the...Ch. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Find the slope of the tangent line to the given...Ch. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Prob. 64RECh. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Prob. 72RECh. 4 - Prob. 73RECh. 4 - Prob. 74RECh. 4 - Prob. 75RECh. 4 - Prob. 76RECh. 4 - Prob. 77RECh. 4 - Prob. 78RECh. 4 - Prob. 79RECh. 4 - Prob. 80RECh. 4 - Prob. 81RECh. 4 - Prob. 83RECh. 4 - Prob. 84RECh. 4 - Prob. 85RECh. 4 - Prob. 86RECh. 4 - Prob. 87RECh. 4 - Prob. 88RECh. 4 - Prob. 89RECh. 4 - Prob. 90RECh. 4 - Prob. 91RECh. 4 - Prob. 92RECh. 4 - Prob. 93RE
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