Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
10th Edition
ISBN: 9781305657861
Author: Soo T. Tan
Publisher: Cengage Learning
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Chapter 7, Problem 2BM
To determine
To find: The value of integral
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Question 1:
If a barometer were built using oil (p = 0.92 g/cm³) instead of mercury (p =
13.6 g/cm³), would the column of oil be higher than, lower than, or the same as the
column of mercury at 1.00 atm? If the level is different, by what factor? Explain. (5 pts)
Solution:
A barometer works based on the principle that the pressure exerted by the liquid column
balances atmospheric pressure. The pressure is given by:
P = pgh
Since the atmospheric pressure remains constant (P = 1.00 atm), the height of the
liquid column is inversely proportional to its density:
Step 1: Given Data
PHg
hol=hgx
Poil
• Density of mercury: PHg = 13.6 g/cm³
Density of oil: Poil = 0.92 g/cm³
• Standard height of mercury at 1.00 atm: hμg
Step 2: Compute Height of Oil
= 760 mm = 0.760 m
13.6
hoil
= 0.760 x
0.92
hoil
= 0.760 × 14.78
hoil
= 11.23 m
Step 3: Compare Heights
Since oil is less dense than mercury, the column of oil must be much taller than that of
mercury. The factor by which it is taller is:
Final…
Chapter 7 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
Ch. 7.1 - Write the formula for integration by parts.Ch. 7.1 - Prob. 2CQCh. 7.1 - Prob. 1ECh. 7.1 - Prob. 2ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 4ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 6ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 8E
Ch. 7.1 - Prob. 9ECh. 7.1 - Prob. 10ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 16ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 18ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 20ECh. 7.1 - Prob. 22ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 24ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 26ECh. 7.1 - In Exercises 1-26, find each indefinite integral....Ch. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - In Exercises 29-34, evaluate each definite...Ch. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Find the area of the region under the graph of...Ch. 7.1 - Prob. 38ECh. 7.1 - VELOCITY of A DRAGSTER The velocity of a dragster...Ch. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - ALCOHOL-RELATED TRAFFIC ACCIDENTS As a result of...Ch. 7.1 - AVERAGE PRICE OF A COMMODITY The price of a...Ch. 7.1 - DISTANCE COVERED BY A CAR The velocity of the...Ch. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - FUTURE VALUE OF AN INCOME STREAM The chef-owner of...Ch. 7.1 - Prob. 50ECh. 7.1 - RATE OF RETURN ON AN INVESTMENT Suppose an...Ch. 7.1 - Prob. 52ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 2ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 8ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Prob. 18ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 24ECh. 7.2 - 4lnxx(2+3)lnxdxCh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - In Exercises 1-32, use the table of integrals in...Ch. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - AMUSEMENT PARK ATTENDANCE The management of...Ch. 7.2 - Prob. 34ECh. 7.2 - GROWTH OF FRUIT FLIES On the basis of data...Ch. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - PRODUCERS' SURPLUS FOR WOMEN'S BOOTS Refer to...Ch. 7.2 - Prob. 40ECh. 7.2 - PRODUCERS' SURPLUS FOR MULTITASK DF.SK LAMPS Refer...Ch. 7.2 - Prob. 42ECh. 7.2 - FRANCHISES Elaine purchased a 10-year franchise...Ch. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.3 - Prob. 1CQCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - In Exercises 114, use the Trapezoidal Rule and...Ch. 7.3 - Prob. 8ECh. 7.3 - In Exercises 114, use the Trapezoidal Rule and...Ch. 7.3 - Prob. 10ECh. 7.3 - In Exercises 114, use the Trapezoidal Rule and...Ch. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - In Exercises 1522, use the Trapezoidal Rule and...Ch. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - In Exercises 1522, use the Trapezoidal Rule and...Ch. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - SURFACE AREA OF THE JACQUELINE KENNEDY ONASSIS...Ch. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - CONSUMERS SURPLUS FOR SPORTS WATCHES Refer to...Ch. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.4 - a. Define 0f(x)dx, where f is continuous on [a, )...Ch. 7.4 - Prob. 2CQCh. 7.4 - In Exercises 1-4, find the area of the shaded...Ch. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - In Exercises 1-4, find the area of the shaded...Ch. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - In Exercises 5-14. find the area of the region...Ch. 7.4 - Prob. 8ECh. 7.4 - In Exercises 5-14. find the area of the region...Ch. 7.4 - In Exercises 5-14. find the area of the region...Ch. 7.4 - In Exercises 5-14. find the area of the region...Ch. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Find the area of the region bounded by the x-axis...Ch. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - In Exercises 19-46, evaluate each improper...Ch. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - In Exercises 19-46, evaluate each improper...Ch. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - In Exercises 19-46, evaluate each improper...Ch. 7.4 - Prob. 40ECh. 7.4 - Prob. 41ECh. 7.4 - In Exercises 19-46, evaluate each improper...Ch. 7.4 - Prob. 44ECh. 7.4 - In Exercises 19-46, evaluate each improper...Ch. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - Prob. 48ECh. 7.4 - Prob. 49ECh. 7.4 - PERPETUAL NET INCOME STREAMS The present value of...Ch. 7.4 - ESTABLISHING A TRUST FUND Becky Wilkinson wants to...Ch. 7.4 - PERPETUAL NET INCOME STREAM The perpetual stream...Ch. 7.4 - Prob. 53ECh. 7.4 - Prob. 54ECh. 7.4 - Prob. 55ECh. 7.4 - Prob. 56ECh. 7.4 - Prob. 57ECh. 7.4 - Prob. 58ECh. 7.4 - Prob. 59ECh. 7.4 - Prob. 60ECh. 7.5 - Prob. 1CQCh. 7.5 - Prob. 2CQCh. 7.5 - Prob. 3CQCh. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Prob. 5ECh. 7.5 - Prob. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - Prob. 17ECh. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.5 - Prob. 29ECh. 7.5 - Prob. 30ECh. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7 - Prob. 1CRQCh. 7 - Prob. 2CRQCh. 7 - Prob. 3CRQCh. 7 - Prob. 4CRQCh. 7 - Prob. 5CRQCh. 7 - Prob. 6CRQCh. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - In Exercises 1-6, evaluate the integral. 4....Ch. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 1BMCh. 7 - Prob. 2BMCh. 7 - Prob. 3BMCh. 7 - Prob. 4BMCh. 7 - Prob. 5BMCh. 7 - Prob. 6BM
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