Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)
11th Edition
ISBN: 9780133886849
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 11, Problem 49RE
(a)
To determine
To find: The probability density function for the exponential distribution.
(b)
To determine
To find: The expected number of repairs per month.
(c)
To determine
To find: The standard deviation.
(d)
To determine
To find: The probability that the number of repairs per month will be between 5 and 10.
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Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = Aekt, where A is the rate of increase at time 0 (in cells per day) and k is a constant.
(a) Suppose A = 60, and at 3 days, the cells are growing at a rate of 180 per day. Find a formula for the number of cells after t days, given that 200 cells are present at t = 0.
(b) Use your answer from part (a) to find the number of cells present after 8 days.
(a) Find a formula for the number of cells, N(t), after t days.
N(t) =
(Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)
The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given by the following function.
R'(x) = 4x (x² +26,000)
2
3
(a) Find the total revenue function if the revenue from 125 devices is $17,939.
(b) How many devices must be sold for a revenue of at least $50,000?
(a) The total revenue function is R(x) =
(Round to the nearest integer as needed.)
given that the revenue from 125 devices is $17,939.
Use substitution to find the indefinite integral.
S
2u
√u-4
-du
Describe the most appropriate substitution case and the values of u and du. Select the correct choice below and fill in the answer boxes within your choice.
A. Substitute u for the quantity in the numerator. Let v =
, so that dv = ( ) du.
B. Substitute u for the quantity under the root. Let v = u-4, so that dv = (1) du.
C. Substitute u for the quantity in the denominator. Let v =
Use the substitution to evaluate the integral.
so that dv=
'
(
du.
2u
-du=
√√u-4
Chapter 11 Solutions
Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)
Ch. 11.1 - YOUR TURN 1 Repeat Example 1(a) for the function...Ch. 11.1 - Prob. 2YTCh. 11.1 - Prob. 3YTCh. 11.1 - Prob. 4YTCh. 11.1 - Prob. 1WECh. 11.1 - Prob. 2WECh. 11.1 - Prob. 3WECh. 11.1 - Decide whether the functions defined as follows...Ch. 11.1 - Decide whether the functions defined as follows...Ch. 11.1 - Decide whether the functions defined as follows...
Ch. 11.1 - Decide whether the functions defined as follows...Ch. 11.1 - Decide whether the functions defined as follows...Ch. 11.1 - Decide whether the functions defined as follows...Ch. 11.1 - Decide whether the functions defined as follows...Ch. 11.1 - Decide whether the functions defined as follows...Ch. 11.1 - Decide whether the functions defined as follows...Ch. 11.1 - Prob. 10ECh. 11.1 - Prob. 11ECh. 11.1 - Find a value of k that will make f a probability...Ch. 11.1 - Find a value of k that will make f a probability...Ch. 11.1 - Prob. 14ECh. 11.1 - Prob. 15ECh. 11.1 - Prob. 16ECh. 11.1 - Prob. 17ECh. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Find the cumulative distribution function for the...Ch. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - 25. The total area under the graph of a...Ch. 11.1 - Prob. 26ECh. 11.1 - Prob. 27ECh. 11.1 - Prob. 28ECh. 11.1 - Show that each function defined as follows is a...Ch. 11.1 - Show that each function defined as follows is a...Ch. 11.1 - Prob. 31ECh. 11.1 - Show that each function defined as follows is a...Ch. 11.1 - Show that each function defined as follows is a...Ch. 11.1 - Show that each function defined as follows is a...Ch. 11.1 - 35. Life Span of a Computer Part The life (in...Ch. 11.1 - 36. Machine Life A machine has a useful life of 4...Ch. 11.1 - Prob. 37ECh. 11.1 - Prob. 38ECh. 11.1 - 39. Petal Length The length of a petal on a...Ch. 11.1 - 40. Clotting Time of Blood The clotting time of...Ch. 11.1 - 41. Flour Beetles Researchers who study the...Ch. 11.1 - 42. Flea Beetles The mobility of an insect is an...Ch. 11.1 - Prob. 43ECh. 11.1 - 44. Time to Learn a Task The time required for a...Ch. 11.1 - 45. Annual Rainfall The annual rainfall in a...Ch. 11.1 - Prob. 46ECh. 11.1 - 47. Earthquakes The time between major earthquakes...Ch. 11.1 - Prob. 48ECh. 11.1 - 49. Driving Fatalities We saw in a review exercise...Ch. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.2 - YOUR TURN 1 Repeat Example l for the probability...Ch. 11.2 - Prob. 2YTCh. 11.2 - Prob. 3YTCh. 11.2 - Prob. 1WECh. 11.2 - Prob. 2WECh. 11.2 - In Exercises 1–8, a probability density function...Ch. 11.2 - In Exercises 1–8, a probability density function...Ch. 11.2 - Prob. 3ECh. 11.2 - In Exercises 1–8, a probability density function...Ch. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - In Exercises 1–8, a probability density function...Ch. 11.2 - In Exercises 1–8, a probability density function...Ch. 11.2 - 9. What information does the mean (expected value)...Ch. 11.2 - 10. Suppose two random variables have standard...Ch. 11.2 - In Exercises 11–14, the probability density...Ch. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - For Exercises 15–20, (a) find the median of the...Ch. 11.2 - For Exercises 15–20, (a) find the median of the...Ch. 11.2 - Find the expected value, the variance, and the...Ch. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - 24. Life of a Light Bulb The life (in hours) of a...Ch. 11.2 - 25. Machine Life The life (in years) of a certain...Ch. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - 29. Insurance Claims An insurance company’s...Ch. 11.2 - 30. Dental Insurance An insurance policy...Ch. 11.2 - 31. Blood Clotting Time The clotting time of blood...Ch. 11.2 - Prob. 32ECh. 11.2 - 33. Petal Length The length (in centimeters) of a...Ch. 11.2 - Prob. 34ECh. 11.2 - 35. Flour Beetles As we saw in Exercise 41 of the...Ch. 11.2 - Prob. 36ECh. 11.2 - 37. Social Network In Exercise 43 of the previous...Ch. 11.2 - 38. Earthquakes The time between major earthquakes...Ch. 11.2 - 39. Annual Rainfall The annual rainfall in a...Ch. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - Prob. 42ECh. 11.2 - 43. Time of Traffic Fatality In Exercise 51 of the...Ch. 11.3 - YOUR TURN 1 The next vacation for the couple in...Ch. 11.3 - Prob. 2YTCh. 11.3 - Prob. 3YTCh. 11.3 - Evaluate each of the following integrals. (Sec....Ch. 11.3 - Prob. 2WECh. 11.3 - Prob. 1ECh. 11.3 - Find (a) the mean of the distribution, (b) the...Ch. 11.3 - Find (a) the mean of the distribution, (b) the...Ch. 11.3 - Find (a) the mean of the distribution, (b) the...Ch. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Find the proportion of observations of a standard...Ch. 11.3 - Find the proportion of observations of a standard...Ch. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.3 - Prob. 11ECh. 11.3 - Prob. 12ECh. 11.3 - Find a z-score satisfying the conditions given in...Ch. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - Prob. 16ECh. 11.3 - Prob. 17ECh. 11.3 - In the second section of this chapter, we defined...Ch. 11.3 - Prob. 19ECh. 11.3 - Prob. 20ECh. 11.3 - Prob. 21ECh. 11.3 - Prob. 22ECh. 11.3 - Prob. 23ECh. 11.3 - Prob. 24ECh. 11.3 - Prob. 25ECh. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - 28. Determine the cumulative distribution function...Ch. 11.3 - 29. Insurance Sales The amount of insurance (in...Ch. 11.3 - Prob. 30ECh. 11.3 - 31. Sales Expense A salesperson’s monthly expenses...Ch. 11.3 - 32. Machine Accuracy A machine that fills quart...Ch. 11.3 - 33. Machine Accuracy A machine produces screws...Ch. 11.3 - Prob. 34ECh. 11.3 - 35. Insured Loss An insurance policy is written to...Ch. 11.3 - Prob. 36ECh. 11.3 - 37. Printer Failure The lifetime of a printer...Ch. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - 41. Digestion Time The digestion time (in hours)...Ch. 11.3 - Prob. 42ECh. 11.3 - 43. Finding Prey H. R. Pulliam found that the time...Ch. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - 46. Mercury Poisoning Historians and biographers...Ch. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - Prob. 52ECh. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - 45. When the degrees of freedom in the chi-square...Ch. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - 60. Assaults The number of deaths in the United...Ch. 11 - Prob. 61RECh. 11 - Prob. 62RE
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