College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
14th Edition
ISBN: 9780134674148
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
Publisher: PEARSON
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Chapter 14.2, Problem 66E
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Question 1
A tech company has acknowledged the importance of having records of all meetings conducted.
The meetings are very fast paced and requires equipment that is able to capture the information in
the shortest possible time. There are two options, using a typewriter or a word processor. Fifteen
administrative assistants are selected and the amount of typing time in hours was recorded. The
results are given below:
1
2
3
4
5
6
7
8
9
10
11 12 13
14
15
typewriter
8.0 6.5
5.0 6.7
7.8
8.5
7.2
5.7
9.2
5.7 6.5
word processor 7.2 5.7
8.3
7.5
9.2
7.2
6.5
7.0
6.9
34
7.0 6.9
8.8
6.7
8.8 9.4 8.6 5.5 7.2
8.4
a. Test the hypothesis that the mean typing time in hours for typewriters is less than 7.0.
Use the 1% level of significance.
b. Construct a 90% confidence interval for the difference in mean typing time in hours,
where a difference is equal to the typing time in hours of word processors minus typing
time in hours of typewriter.
c. Using the 5% significance level, determine whether there is…
Evaluate the integral.
Scos
3
cos x sin xdx
Evaluate the integral using integration by parts.
150 sec 20
Chapter 14 Solutions
College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. 14.1 - Matched Problem 1 Find C(20, 10) for the cost...Ch. 14.1 - Prob. 2MPCh. 14.1 - Prob. 3MPCh. 14.1 - Prob. 4MPCh. 14.1 - Prob. 5MPCh. 14.1 - Prob. 6MPCh. 14.1 - Prob. 7MPCh. 14.1 - Prob. 1EDCh. 14.1 - Prob. 1ECh. 14.1 - Prob. 2E
Ch. 14.1 - Prob. 3ECh. 14.1 - Prob. 4ECh. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - Prob. 10ECh. 14.1 - In Problems 9–16, find the indicated values of the...Ch. 14.1 - Prob. 12ECh. 14.1 - In Problems 9–16, find the indicated values of the...Ch. 14.1 - Prob. 14ECh. 14.1 - In Problems 9–16, find the indicated values of the...Ch. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - In Problems 17–20, find the indicated values...Ch. 14.1 - In Problems 17–20, find the indicated values...Ch. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - In Problems 21–30, find the indicated value of the...Ch. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - In Problems 21–30, find the indicated value of the...Ch. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - In Problems 31–36, find the indicated function f...Ch. 14.1 - Prob. 32ECh. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - In Problems 31–36, find the indicated function f...Ch. 14.1 - Prob. 36ECh. 14.1 - Prob. 37ECh. 14.1 - Prob. 38ECh. 14.1 - 39. Find a formula for the function C(n, w) of two...Ch. 14.1 - 40. Find a formula for the function N(p, r) of two...Ch. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - Prob. 43ECh. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - 47. Let F(x, y) = 2x + 3y − 6. Find all values of...Ch. 14.1 - 48. Let F(x, y) = 5x − 4y + 12. Find all values of...Ch. 14.1 - 49. Let F(x, y) = 2xy + 3x − 4y − 1. Find all...Ch. 14.1 - 50. Let F(x, y) = xy + 2x2 + y2 − 25. Find all...Ch. 14.1 - Prob. 51ECh. 14.1 - Prob. 52ECh. 14.1 - Prob. 53ECh. 14.1 - Prob. 54ECh. 14.1 - Prob. 55ECh. 14.1 - Prob. 56ECh. 14.1 - Prob. 57ECh. 14.1 - Prob. 58ECh. 14.1 - Prob. 59ECh. 14.1 - Prob. 60ECh. 14.1 - Prob. 61ECh. 14.1 - Prob. 62ECh. 14.1 - Prob. 63ECh. 14.1 - Prob. 64ECh. 14.1 - 65. Cost function. A small manufacturing company...Ch. 14.1 - Prob. 66ECh. 14.1 - 67. Revenue function. A supermarket sells two...Ch. 14.1 - 68. Revenue, cost, and profit functions. A company...Ch. 14.1 - Prob. 69ECh. 14.1 - Prob. 70ECh. 14.1 - Prob. 71ECh. 14.1 - 72. Package design. The packaging department in a...Ch. 14.1 - Prob. 73ECh. 14.1 - Prob. 74ECh. 14.1 - Prob. 75ECh. 14.1 - Prob. 76ECh. 14.1 - Prob. 77ECh. 14.1 - Prob. 78ECh. 14.2 - Prob. 1MPCh. 14.2 - Prob. 2MPCh. 14.2 - Prob. 3MPCh. 14.2 - Prob. 4MPCh. 14.2 - Prob. 5MPCh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - Prob. 4ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - In Problems 1–16, find the indicated derivative....Ch. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - In Problems 17–24, find the indicated first-order...Ch. 14.2 - In Problems 17–24, find the indicated first-order...Ch. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - In Problems 17–24, find the indicated first-order...Ch. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - In Problems 25–32, find the indicated value.
25.
Ch. 14.2 - In Problems 25–32, find the indicated value.
26.
Ch. 14.2 - Prob. 27ECh. 14.2 - In Problems 25–32, find the indicated value.
28.
Ch. 14.2 - In Problems 25–32, find the indicated value.
29.
Ch. 14.2 - Prob. 30ECh. 14.2 - In Problems 25–32, find the indicated value.
31.
Ch. 14.2 - Prob. 32ECh. 14.2 - In Problems 33–38, M(x, y) = 68 + 0.3x − 0.8y...Ch. 14.2 - In Problems 33–38, M(x, y) = 68 + 0.3x − 0.8y...Ch. 14.2 - In Problems 33–38, M(x, y) = 68 + 0.3x − 0.8y...Ch. 14.2 - In Problems 33–38, M(x, y) = 68 + 0.3x − 0.8y...Ch. 14.2 - In Problems 33−38, M(x, y) = 68 + 0.3x − 0.8y...Ch. 14.2 - Prob. 38ECh. 14.2 - In Problems 39–50, find the indicated second-order...Ch. 14.2 - Prob. 40ECh. 14.2 - In Problems 39–50, find the indicated second-order...Ch. 14.2 - In Problems 39–50, find the indicated second-order...Ch. 14.2 - In Problems 39–50, find the indicated second-order...Ch. 14.2 - Prob. 44ECh. 14.2 - In Problems 39–50, find the indicated second-order...Ch. 14.2 - Prob. 46ECh. 14.2 - In Problems 39–50, find the indicated second-order...Ch. 14.2 - Prob. 48ECh. 14.2 - In Problems 39–50, find the indicated second-order...Ch. 14.2 - Prob. 50ECh. 14.2 - ln Problems 51–60, find the indicated function or...Ch. 14.2 - ln Problems 51–60, find the indicated function or...Ch. 14.2 - ln Problems 51–60, find the indicated function or...Ch. 14.2 - ln Problems 51–60, find the indicated function or...Ch. 14.2 - ln Problems 51–60, find the indicated function or...Ch. 14.2 - ln Problems 51–60, find the indicated function or...Ch. 14.2 - ln Problems 51–60, find the indicated function or...Ch. 14.2 - ln Problems 51–60, find the indicated function or...Ch. 14.2 - ln Problems 51–60, find the indicated function or...Ch. 14.2 - ln Problems 51–60, find the indicated function or...Ch. 14.2 - In Problems 61–66, S(T, r) = 50(T − 40)(5 − r)...Ch. 14.2 - Prob. 62ECh. 14.2 - In Problems 61–66, S(T, r) = 50(T − 40)(5 − r)...Ch. 14.2 - Prob. 64ECh. 14.2 - Prob. 65ECh. 14.2 - Prob. 66ECh. 14.2 - Prob. 67ECh. 14.2 - Prob. 68ECh. 14.2 - In Problems 69–74, find fxx(x, y), fxy(x, y),...Ch. 14.2 - In Problems 69–74, find fxx(x, y), fxy(x, y),...Ch. 14.2 - In Problems 69–74, find fxx(x, y), fxy(x, y),...Ch. 14.2 - In Problems 69–74, find fxx(x, y), fxy(x, y),...Ch. 14.2 - In Problems 69–74, find fxx(x, y), fxy(x, y),...Ch. 14.2 - Prob. 74ECh. 14.2 - Prob. 75ECh. 14.2 - Prob. 76ECh. 14.2 - Prob. 77ECh. 14.2 - Prob. 78ECh. 14.2 - Prob. 79ECh. 14.2 - Prob. 80ECh. 14.2 - Prob. 81ECh. 14.2 - 82. Let f(x, y) = ex + 2ey + 3xy2 + 1.
Use...Ch. 14.2 - Prob. 83ECh. 14.2 - Prob. 84ECh. 14.2 - Prob. 85ECh. 14.2 - 86. Advertising and sales. A company spends $x per...Ch. 14.2 - Prob. 87ECh. 14.2 - 88. Revenue and profit functions. A company...Ch. 14.2 - Prob. 89ECh. 14.2 - Prob. 90ECh. 14.2 - Problems 91–94 refer to the following: If a...Ch. 14.2 - Problems 91–94 refer to the following: If a...Ch. 14.2 - Problems 91–94 refer to the following: If a...Ch. 14.2 - Prob. 94ECh. 14.2 - Prob. 95ECh. 14.2 - Prob. 96ECh. 14.2 - Prob. 97ECh. 14.2 - Prob. 98ECh. 14.3 - Prob. 1MPCh. 14.3 - Prob. 2MPCh. 14.3 - Prob. 3MPCh. 14.3 - Prob. 4MPCh. 14.3 - Prob. 1EDCh. 14.3 - Prob. 1ECh. 14.3 - Prob. 2ECh. 14.3 - Prob. 3ECh. 14.3 - Prob. 4ECh. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Prob. 7ECh. 14.3 - Prob. 8ECh. 14.3 - A In Problems 9–16, find fx(x, y) and fy(x, y),...Ch. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - A In Problems 9–16, find fx(x, y) and fy(x, y),...Ch. 14.3 - Prob. 14ECh. 14.3 - A In Problems 9–16, find fx(x, y) and fy(x, y),...Ch. 14.3 - Prob. 16ECh. 14.3 - B In Problems 17–36, use Theorem 2 to find the...Ch. 14.3 - Prob. 18ECh. 14.3 - B In Problems 17–36, use Theorem 2 to find the...Ch. 14.3 - Prob. 20ECh. 14.3 - Prob. 21ECh. 14.3 - Prob. 22ECh. 14.3 - Prob. 23ECh. 14.3 - Prob. 24ECh. 14.3 - Prob. 25ECh. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Prob. 28ECh. 14.3 - B In Problems 17–36, use Theorem 2 to find the...Ch. 14.3 - B In Problems 17–36, use Theorem 2 to find the...Ch. 14.3 - Prob. 31ECh. 14.3 - Prob. 32ECh. 14.3 - B In Problems 17–36, use Theorem 2 to find the...Ch. 14.3 - B In Problems 17–36, use Theorem 2 to find the...Ch. 14.3 - Prob. 35ECh. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Prob. 39ECh. 14.3 - Prob. 40ECh. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Prob. 43ECh. 14.3 - 44. Maximizing profit. A store sells two brands of...Ch. 14.3 - Prob. 45ECh. 14.3 - Prob. 46ECh. 14.3 - 47. Minimum material. A rectangular box with no...Ch. 14.3 - 48. Minimum material. A rectangular box with no...Ch. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.4 - Matched Problem 1 Maximize f(x, y) = 25 − x2 – y2...Ch. 14.4 - Prob. 2MPCh. 14.4 - Matched Problem 3 A box of the same type as in...Ch. 14.4 - Prob. 1EDCh. 14.4 - Prob. 2EDCh. 14.4 - Prob. 1ECh. 14.4 - Prob. 2ECh. 14.4 - Prob. 3ECh. 14.4 - In Problems 1–6, maximize or minimize subject to...Ch. 14.4 - Prob. 5ECh. 14.4 - Prob. 6ECh. 14.4 - Prob. 7ECh. 14.4 - Prob. 8ECh. 14.4 - Use the method of Lagrange multipliers in Problems...Ch. 14.4 - Use the method of Lagrange multipliers in Problems...Ch. 14.4 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Use the method of Lagrange multipliers in Problems...Ch. 14.4 - Prob. 14ECh. 14.4 - Use the method of Lagrange multipliers in Problems...Ch. 14.4 - Prob. 16ECh. 14.4 - Use the method of Lagrange multipliers in Problems...Ch. 14.4 - Prob. 18ECh. 14.4 - Use the method of Lagrange multipliers in Problems...Ch. 14.4 - Use the method of Lagrange multipliers in Problems...Ch. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Prob. 23ECh. 14.4 - Use the method of Lagrange multipliers in Problems...Ch. 14.4 - Prob. 25ECh. 14.4 - Prob. 26ECh. 14.4 - Prob. 27ECh. 14.4 - Prob. 28ECh. 14.4 - Prob. 29ECh. 14.4 - Prob. 30ECh. 14.4 - 31. Budgeting for least cost. A manufacturing...Ch. 14.4 - 32. Budgeting for maximum production. A...Ch. 14.4 - 33. Productivity. A consulting firm for a...Ch. 14.4 - Prob. 34ECh. 14.4 - 35. Maximum volume. A rectangular box with no top...Ch. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.5 - Prob. 1MPCh. 14.5 - Prob. 2MPCh. 14.5 - Prob. 1EDCh. 14.5 - Prob. 2EDCh. 14.5 - Prob. 1ECh. 14.5 - Prob. 2ECh. 14.5 - Prob. 3ECh. 14.5 - Prob. 4ECh. 14.5 - Prob. 5ECh. 14.5 - Prob. 6ECh. 14.5 - Prob. 7ECh. 14.5 - Prob. 8ECh. 14.5 - Prob. 9ECh. 14.5 - Prob. 10ECh. 14.5 - Prob. 11ECh. 14.5 - Prob. 12ECh. 14.5 - Prob. 13ECh. 14.5 - Prob. 14ECh. 14.5 - Prob. 15ECh. 14.5 - Prob. 16ECh. 14.5 - Prob. 17ECh. 14.5 - Prob. 18ECh. 14.5 - Prob. 19ECh. 14.5 - Prob. 20ECh. 14.5 - Prob. 21ECh. 14.5 - Prob. 22ECh. 14.5 - Prob. 23ECh. 14.5 - Prob. 24ECh. 14.5 - Prob. 25ECh. 14.5 - Prob. 26ECh. 14.5 - 27. (A) Find the linear and quadratic functions...Ch. 14.5 - Prob. 28ECh. 14.5 - Prob. 29ECh. 14.5 - Prob. 30ECh. 14.5 - Prob. 31ECh. 14.5 - Prob. 32ECh. 14.5 - Prob. 33ECh. 14.5 - Prob. 34ECh. 14.5 - Prob. 35ECh. 14.5 - Prob. 36ECh. 14.5 - Prob. 37ECh. 14.5 - Prob. 38ECh. 14.6 - Prob. 1MPCh. 14.6 - Prob. 2MPCh. 14.6 - Prob. 3MPCh. 14.6 - Prob. 4MPCh. 14.6 - Prob. 5MPCh. 14.6 - Prob. 6MPCh. 14.6 - Prob. 7MPCh. 14.6 - Prob. 1EDCh. 14.6 - Prob. 1ECh. 14.6 - Prob. 2ECh. 14.6 - Prob. 3ECh. 14.6 - Prob. 4ECh. 14.6 - Prob. 5ECh. 14.6 - Prob. 6ECh. 14.6 - Prob. 7ECh. 14.6 - Prob. 8ECh. 14.6 - Prob. 9ECh. 14.6 - Prob. 10ECh. 14.6 - Prob. 11ECh. 14.6 - Prob. 12ECh. 14.6 - Prob. 13ECh. 14.6 - Prob. 14ECh. 14.6 - Prob. 15ECh. 14.6 - Prob. 16ECh. 14.6 - Prob. 17ECh. 14.6 - Prob. 18ECh. 14.6 - Prob. 19ECh. 14.6 - Prob. 20ECh. 14.6 - Prob. 21ECh. 14.6 - Prob. 22ECh. 14.6 - Prob. 23ECh. 14.6 - Prob. 24ECh. 14.6 - Prob. 25ECh. 14.6 - Prob. 26ECh. 14.6 - Prob. 27ECh. 14.6 - Prob. 28ECh. 14.6 - Prob. 29ECh. 14.6 - Prob. 30ECh. 14.6 - Prob. 31ECh. 14.6 - Prob. 32ECh. 14.6 - Prob. 33ECh. 14.6 - Prob. 34ECh. 14.6 - Prob. 35ECh. 14.6 - Prob. 36ECh. 14.6 - Prob. 37ECh. 14.6 - Prob. 38ECh. 14.6 - Prob. 39ECh. 14.6 - Prob. 40ECh. 14.6 - Prob. 41ECh. 14.6 - Prob. 42ECh. 14.6 - Prob. 43ECh. 14.6 - Prob. 44ECh. 14.6 - Prob. 45ECh. 14.6 - Prob. 46ECh. 14.6 - Prob. 47ECh. 14.6 - Prob. 48ECh. 14.6 - Prob. 49ECh. 14.6 - Prob. 50ECh. 14.6 - Prob. 51ECh. 14.6 - Prob. 52ECh. 14.6 - Prob. 53ECh. 14.6 - Prob. 54ECh. 14.6 - Prob. 55ECh. 14.6 - Prob. 56ECh. 14.6 - Prob. 57ECh. 14.6 - Prob. 58ECh. 14.7 - Prob. 1MPCh. 14.7 - Prob. 2MPCh. 14.7 - Prob. 3MPCh. 14.7 - Prob. 4MPCh. 14.7 - Prob. 5MPCh. 14.7 - Prob. 6MPCh. 14.7 - Prob. 7MPCh. 14.7 - Prob. 1EDCh. 14.7 - Prob. 2EDCh. 14.7 - Prob. 1ECh. 14.7 - Prob. 2ECh. 14.7 - Prob. 3ECh. 14.7 - Prob. 4ECh. 14.7 - Prob. 5ECh. 14.7 - Prob. 6ECh. 14.7 - Prob. 7ECh. 14.7 - Prob. 8ECh. 14.7 - Prob. 9ECh. 14.7 - Prob. 10ECh. 14.7 - Prob. 11ECh. 14.7 - Prob. 12ECh. 14.7 - Prob. 13ECh. 14.7 - Prob. 14ECh. 14.7 - Prob. 15ECh. 14.7 - Prob. 16ECh. 14.7 - Prob. 17ECh. 14.7 - Prob. 18ECh. 14.7 - Prob. 19ECh. 14.7 - Prob. 20ECh. 14.7 - Prob. 21ECh. 14.7 - Prob. 22ECh. 14.7 - Prob. 23ECh. 14.7 - Prob. 24ECh. 14.7 - Prob. 25ECh. 14.7 - Prob. 26ECh. 14.7 - Prob. 27ECh. 14.7 - Prob. 28ECh. 14.7 - Prob. 29ECh. 14.7 - Prob. 30ECh. 14.7 - Prob. 31ECh. 14.7 - Prob. 32ECh. 14.7 - Prob. 33ECh. 14.7 - Prob. 34ECh. 14.7 - Prob. 35ECh. 14.7 - Prob. 36ECh. 14.7 - Prob. 37ECh. 14.7 - Prob. 38ECh. 14.7 - Prob. 39ECh. 14.7 - Prob. 40ECh. 14.7 - Prob. 41ECh. 14.7 - Prob. 42ECh. 14.7 - Prob. 43ECh. 14.7 - Prob. 44ECh. 14.7 - Prob. 45ECh. 14.7 - Prob. 46ECh. 14.7 - Prob. 47ECh. 14.7 - Prob. 48ECh. 14.7 - Prob. 49ECh. 14.7 - Prob. 50ECh. 14.7 - Prob. 51ECh. 14.7 - Prob. 52ECh. 14.7 - Prob. 53ECh. 14.7 - Prob. 54ECh. 14.7 - Prob. 55ECh. 14.7 - Prob. 56ECh. 14.7 - Prob. 57ECh. 14.7 - Prob. 58ECh. 14 - Prob. 1RECh. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Prob. 7RECh. 14 - Prob. 8RECh. 14 - Prob. 9RECh. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Prob. 12RECh. 14 - Prob. 13RECh. 14 - Prob. 14RECh. 14 - Prob. 15RECh. 14 - Prob. 16RECh. 14 - Prob. 17RECh. 14 - Prob. 18RECh. 14 - 19. Find the average value of f(x, y) = x2/3y2/3...Ch. 14 - Prob. 20RECh. 14 - Prob. 21RECh. 14 - Prob. 22RECh. 14 - Prob. 23RECh. 14 - Prob. 24RECh. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Prob. 27RECh. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Prob. 31RECh. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RE
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