Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
10th Edition
ISBN: 9781285464640
Author: Soo T. Tan
Publisher: Brooks Cole
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Chapter 8, Problem 39RE
To determine
To evaluate: The double integral for the function
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Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
Chapter 8 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Ch. 8.1 - What is a function of two variables? Give an...Ch. 8.1 - If f is a function of two variables, what can you...Ch. 8.1 - Prob. 3CQCh. 8.1 - Prob. 1ECh. 8.1 - Let g(x, y) = 2x2 y2. Compute g(1, 2), g(2,1),...Ch. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Let h(s, t) = s ln t t ln s. Compute h(1, e),...
Ch. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10ECh. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - In Exercises 11-18, find the domain of the...Ch. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - In Exercises 11-18, find the domain of the...Ch. 8.1 - Prob. 18ECh. 8.1 - In Exercises 19-24, sketch the level curves of the...Ch. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - In Exercises 19-24, sketch the level curves of the...Ch. 8.1 - Prob. 24ECh. 8.1 - Find an equation of the level curve of f (x, y) =...Ch. 8.1 - Prob. 26ECh. 8.1 - In Exercises 27 and 28, match the graph of the...Ch. 8.1 - Prob. 28ECh. 8.1 - Can two level curves of a function f of two...Ch. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - PRICE-TO-EARNINGS Ratio The current PE ratio...Ch. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - COST FUNCTION FOR A LOUDSPEAKER SYSTEM Acrosonic...Ch. 8.1 - REVENUE FUNCTION FOR ELECTRIC CARS Bell Motors...Ch. 8.1 - Prob. 39ECh. 8.1 - REVENUE FUNCTION FOR DESKS For the total revenue...Ch. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - SURFACE AREA OF A HUMAN BODY An empirical formula...Ch. 8.1 - Prob. 45ECh. 8.1 - Prob. 46ECh. 8.1 - PRODUCTION FUNCTION FOR A COUNTRY Suppose the...Ch. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - HOME MORTGAGES The monthly payment that amortizes...Ch. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Prob. 54ECh. 8.1 - Prob. 55ECh. 8.1 - Prob. 56ECh. 8.1 - Prob. 57ECh. 8.1 - Prob. 58ECh. 8.1 - Prob. 59ECh. 8.1 - Prob. 60ECh. 8.1 - Prob. 61ECh. 8.1 - Prob. 62ECh. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.2 - Prob. 1CQCh. 8.2 - Prob. 2CQCh. 8.2 - Prob. 3CQCh. 8.2 - Prob. 4CQCh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - In Exercises 3-24, find the first partial...Ch. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - In Exercises 3-24, find the first partial...Ch. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Land Prices The rectangular region R shown in the...Ch. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Surface area of a human body The formula S =...Ch. 8.2 - Wind Chill Factor A formula used by meteorologists...Ch. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Complementary and Substitute Commodities In a...Ch. 8.2 - Complementary and Substitute commodities In a...Ch. 8.2 - Prob. 59ECh. 8.2 - Prob. 60ECh. 8.2 - Prob. 61ECh. 8.2 - Prob. 62ECh. 8.2 - According to the ideal gas law, the volume V (in...Ch. 8.2 - Kinetic Energy of a Body The kinetic energy ODYK...Ch. 8.2 - Prob. 66ECh. 8.2 - Prob. 67ECh. 8.2 - Prob. 68ECh. 8.2 - Prob. 69ECh. 8.2 - Prob. 70ECh. 8.2 - Prob. 72ECh. 8.2 - Prob. 1TECh. 8.2 - Prob. 2TECh. 8.2 - Prob. 3TECh. 8.2 - Prob. 4TECh. 8.2 - Prob. 5TECh. 8.2 - Prob. 6TECh. 8.3 - Prob. 1CQCh. 8.3 - Prob. 2CQCh. 8.3 - Prob. 3CQCh. 8.3 - Prob. 4CQCh. 8.3 - In Exercises 1-20, find the critical point(s) of...Ch. 8.3 - Prob. 2ECh. 8.3 - In Exercises 1-20, find the critical point(s) of...Ch. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - In Exercises 1-20, find the critical point(s) of...Ch. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Maximization Profit The total weekly revenue (in...Ch. 8.3 - Maximizing Profit The total daily revenue (in...Ch. 8.3 - Prob. 23ECh. 8.3 - Maximizing Profit CG Imports imports two brands of...Ch. 8.3 - Maximizing Revenue The management of Cal...Ch. 8.3 - Maximizing Profit Johnsons Household Products has...Ch. 8.3 - Maximizing Profit Johnsons Household Products has...Ch. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Parcel Post Regulators Postal regulations specify...Ch. 8.3 - Packaging An open rectangular box having a volume...Ch. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.4 - Prob. 1CQCh. 8.4 - Prob. 2CQCh. 8.4 - Prob. 4CQCh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Facebook Users End-of-year data for the number of...Ch. 8.4 - E-Book Audience The number of adults (in millions)...Ch. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 1TECh. 8.4 - Prob. 2TECh. 8.4 - Prob. 3TECh. 8.4 - Prob. 4TECh. 8.4 - Prob. 5TECh. 8.4 - Prob. 6TECh. 8.4 - Prob. 7TECh. 8.4 - Prob. 8TECh. 8.4 - Prob. 9TECh. 8.5 - Prob. 1CQCh. 8.5 - Prob. 2CQCh. 8.5 - Prob. 1ECh. 8.5 - In Exercises 1-16. use the method of Lagrange...Ch. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - In Exercises 1-16. use the method of Lagrange...Ch. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Maximizing Profit The total daily profit (in...Ch. 8.5 - Minimizing Construction Costs The management of...Ch. 8.5 - Prob. 20ECh. 8.5 - Packaging Find the dimensions of an open...Ch. 8.5 - Maximizing Profit The Ace Novelty company produces...Ch. 8.5 - Prob. 23ECh. 8.5 - Parcel Post Regulations Postal regulations specify...Ch. 8.5 - Minimizing Container Costs The Betty Moore Company...Ch. 8.5 - Minimizing Construction Costs An open rectangular...Ch. 8.5 - Prob. 27ECh. 8.5 - Prob. 28ECh. 8.5 - Prob. 29ECh. 8.5 - Prob. 30ECh. 8.5 - Maximizing Production Suppose a company can...Ch. 8.5 - Prob. 33ECh. 8.5 - Prob. 34ECh. 8.5 - Prob. 36ECh. 8.5 - Prob. 38ECh. 8.5 - In Exercises 39-42, determine whether the...Ch. 8.5 - Prob. 40ECh. 8.5 - Prob. 41ECh. 8.5 - Prob. 42ECh. 8.6 - Prob. 1CQCh. 8.6 - Prob. 2CQCh. 8.6 - Prob. 3CQCh. 8.6 - Prob. 4CQCh. 8.6 - Prob. 5CQCh. 8.6 - Prob. 1ECh. 8.6 - Prob. 2ECh. 8.6 - Prob. 3ECh. 8.6 - Prob. 4ECh. 8.6 - Prob. 5ECh. 8.6 - In Exercises 1-25. evaluate the double integral...Ch. 8.6 - Prob. 7ECh. 8.6 - Prob. 8ECh. 8.6 - Prob. 9ECh. 8.6 - Prob. 10ECh. 8.6 - Prob. 11ECh. 8.6 - Prob. 12ECh. 8.6 - Prob. 13ECh. 8.6 - Prob. 14ECh. 8.6 - Prob. 15ECh. 8.6 - Prob. 16ECh. 8.6 - Prob. 17ECh. 8.6 - Prob. 18ECh. 8.6 - Prob. 19ECh. 8.6 - Prob. 20ECh. 8.6 - Prob. 21ECh. 8.6 - Prob. 22ECh. 8.6 - Prob. 23ECh. 8.6 - Prob. 24ECh. 8.6 - Prob. 25ECh. 8.6 - Prob. 26ECh. 8.6 - Prob. 27ECh. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - Prob. 30ECh. 8.6 - Prob. 31ECh. 8.6 - In Exercises 26-33, use a double integral to find...Ch. 8.6 - Prob. 33ECh. 8.6 - Prob. 34ECh. 8.6 - Prob. 35ECh. 8.6 - Prob. 36ECh. 8.6 - Prob. 37ECh. 8.6 - Prob. 38ECh. 8.6 - Prob. 39ECh. 8.6 - Prob. 40ECh. 8.6 - Prob. 41ECh. 8.6 - Prob. 42ECh. 8.6 - Prob. 43ECh. 8.6 - In Exercises 42-47, find the average value of the...Ch. 8.6 - Prob. 45ECh. 8.6 - Prob. 46ECh. 8.6 - Prob. 47ECh. 8.6 - Prob. 48ECh. 8.6 - Prob. 49ECh. 8.6 - Population Density Of A City The population...Ch. 8.6 - Prob. 51ECh. 8.6 - Prob. 52ECh. 8.6 - Prob. 53ECh. 8.6 - Prob. 54ECh. 8.6 - Prob. 55ECh. 8.6 - Prob. 56ECh. 8 - Fill in the blanks. 1. The domain of a function f...Ch. 8 - Prob. 2CRQCh. 8 - Prob. 3CRQCh. 8 - Prob. 4CRQCh. 8 - Fill in the blanks. 5. The partial derivative fx...Ch. 8 - Prob. 6CRQCh. 8 - Prob. 7CRQCh. 8 - Prob. 8CRQCh. 8 - Prob. 9CRQCh. 8 - Prob. 10CRQCh. 8 - Prob. 11CRQCh. 8 - Prob. 12CRQCh. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Revenue Functions A division of Ditton Industries...Ch. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Maximizing Revenue Odyssey Travel Agencys monthly...Ch. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 1BMCh. 8 - Prob. 2BMCh. 8 - Prob. 3BMCh. 8 - Prob. 4BMCh. 8 - Prob. 5BMCh. 8 - Evaluate R(1xy)dA, where R is the region bounded...
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