WebAssign Printed Access Card for Larson/Edwards' Calculus, 11th Edition, Single-Term
11th Edition
ISBN: 9781337621205
Author: Ron Larson, Bruce H. Edwards
Publisher: Cengage Learning
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Question
Chapter 14.3, Problem 32E
To determine
To calculate: The equation of double
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Topic 2
Evaluate S
x
dx, using u-substitution. Then find the integral using
1-x2
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Topic 3
Explain what an elementary anti-derivative is. Then consider the following
ex
integrals: fed dx
x
1
Sdx
In x
Joseph Liouville proved that the first integral does not have an elementary anti-
derivative Use this fact to prove that the second integral does not have an
elementary anti-derivative. (hint: use an appropriate u-substitution!)
1. Given the vector field F(x, y, z) = -xi, verify the relation
1
V.F(0,0,0) = lim
0+ volume inside Se
ff F• Nds
SE
where SE is the surface enclosing a cube centred at the origin and having edges of length 2€. Then,
determine if the origin is sink or source.
4
3
2
-5 4-3 -2 -1
1 2 3 4 5
12
23
-4
The function graphed above is:
Increasing on the interval(s)
Decreasing on the interval(s)
Chapter 14 Solutions
WebAssign Printed Access Card for Larson/Edwards' Calculus, 11th Edition, Single-Term
Ch. 14.1 - CONCEPT CHECK Iterated Integral Explain what is...Ch. 14.1 - Prob. 2ECh. 14.1 - Question: Evaluate the integral: 0x(2xy)dyCh. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an Integral In Exercises 3-10, evaluate...Ch. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an Integral In Exercises 3-10, evaluate...Ch. 14.1 - Evaluating an Integral In Exercises 3-10, evaluate...
Ch. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Evaluating an Iterated Integral In Exercises...Ch. 14.1 - Evaluating an Iterated Integral In Exercises...Ch. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Evaluating an Iterated Integral In Exercises...Ch. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Evaluating an Improper Iterated Integral In...Ch. 14.1 - Prob. 31ECh. 14.1 - Evaluating an Improper Iterated Integral In...Ch. 14.1 - Finding the Area of a Region In Exercises 33-36,...Ch. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Finding the Area of a Region In Exercises 33-36,...Ch. 14.1 - Finding the Area of a Region In Exercises 37-42,...Ch. 14.1 - Prob. 38ECh. 14.1 - Prob. 39ECh. 14.1 - Prob. 40ECh. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - Changing the Order of Integration In Exercises...Ch. 14.1 - Prob. 44ECh. 14.1 - Changing the Order of Integration In Exercises...Ch. 14.1 - Changing the Order of Integration In Exercises...Ch. 14.1 - Changing the Order of Integration In Exercises...Ch. 14.1 - Prob. 48ECh. 14.1 - Changing the Order of Integration In Exercises...Ch. 14.1 - Prob. 50ECh. 14.1 - Changing the Order of Integration In Exercises...Ch. 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 - Changing the Order of Integration In Exercises...Ch. 14.1 - Changing the Order of Integration In Exercises...Ch. 14.1 - Changing the Order of Integration In Exercises...Ch. 14.1 - Changing the Order of Integration In Exercises...Ch. 14.1 - Prob. 65ECh. 14.1 - Changing the Order of Integration In Exercises...Ch. 14.1 - Prob. 67ECh. 14.1 - Prob. 68ECh. 14.1 - Prob. 69ECh. 14.1 - HOW DO YOU SEE IT? Use each order of integration...Ch. 14.1 - Prob. 71ECh. 14.1 - Prob. 72ECh. 14.1 - Prob. 73ECh. 14.1 - Prob. 74ECh. 14.1 - Prob. 75ECh. 14.1 - Evaluating an Iterated Integral Using Technology...Ch. 14.1 - Prob. 77ECh. 14.1 - Comparing Different Orders of Integration Using...Ch. 14.1 - Prob. 79ECh. 14.1 - Prob. 80ECh. 14.2 - CONCEPT CHECK Approximating the Volume of a Solid...Ch. 14.2 - Prob. 2ECh. 14.2 - Approximation In Exercises 3-6, approximate the...Ch. 14.2 - Approximation In Exercises 3-6, approximate the...Ch. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Evaluating a Double IntegralIn Exercises 712,...Ch. 14.2 - Prob. 11ECh. 14.2 - Evaluating a Double Integral In Exercises 712,...Ch. 14.2 - Evaluating a Double Integral In Exercises 1320,...Ch. 14.2 - Evaluating a Double IntegralIn Exercises 1320, set...Ch. 14.2 - Evaluating a Double IntegralIn Exercises 1320, set...Ch. 14.2 - Evaluating a Double IntegralIn Exercises 1320, set...Ch. 14.2 - Prob. 17ECh. 14.2 - Prob. 18ECh. 14.2 - Evaluating a Double IntegralIn Exercises 1320, set...Ch. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Finding Volume In Exercises 21-26, use a double...Ch. 14.2 - Prob. 23ECh. 14.2 - Finding Volume In Exercises 21-26, use a double...Ch. 14.2 - Prob. 25ECh. 14.2 - Finding Volume In Exercises 21-26, use a double...Ch. 14.2 - Prob. 27ECh. 14.2 - Prob. 28ECh. 14.2 - Finding Volume In Exercises 29-34, set up and...Ch. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Finding Volume In Exercises 29-34, set up and...Ch. 14.2 - Prob. 33ECh. 14.2 - Finding Volume In Exercises 29-34, set up and...Ch. 14.2 - Prob. 35ECh. 14.2 - Prob. 36ECh. 14.2 - Prob. 37ECh. 14.2 - Prob. 38ECh. 14.2 - Prob. 39ECh. 14.2 - Volume of a Region Bounded by Two Surfaces In...Ch. 14.2 - Prob. 41ECh. 14.2 - Prob. 42ECh. 14.2 - Prob. 43ECh. 14.2 - Prob. 44ECh. 14.2 - Prob. 45ECh. 14.2 - Prob. 46ECh. 14.2 - Prob. 47ECh. 14.2 - Prob. 48ECh. 14.2 - Prob. 49ECh. 14.2 - Prob. 50ECh. 14.2 - Prob. 51ECh. 14.2 - Prob. 52ECh. 14.2 - Prob. 53ECh. 14.2 - Prob. 54ECh. 14.2 - Average Value In Exercises 51-56. find the average...Ch. 14.2 - Prob. 56ECh. 14.2 - Prob. 57ECh. 14.2 - Prob. 58ECh. 14.2 - Prob. 59ECh. 14.2 - Prob. 60ECh. 14.2 - Prob. 61ECh. 14.2 - Prob. 62ECh. 14.2 - Prob. 63ECh. 14.2 - Prob. 64ECh. 14.2 - Prob. 65ECh. 14.2 - Prob. 66ECh. 14.2 - Prob. 67ECh. 14.2 - Prob. 68ECh. 14.2 - Prob. 69ECh. 14.2 - Prob. 70ECh. 14.2 - Maximizing a Double Integral Determine the region...Ch. 14.2 - Minimizing a Double Integral Determine the region...Ch. 14.2 - Prob. 73ECh. 14.2 - Prob. 74ECh. 14.2 - Prob. 75ECh. 14.2 - Prob. 76ECh. 14.3 - CONCEPT CHECK Choosing a Coordinate System In...Ch. 14.3 - CONCEPT CHECK Choosing a Coordinate SystemIn...Ch. 14.3 - Prob. 3ECh. 14.3 - Prob. 4ECh. 14.3 - Describing a Region In Exercises 58, use polar...Ch. 14.3 - Describing a Region In Exercises 58, use polar...Ch. 14.3 - Prob. 7ECh. 14.3 - Describing a Region In Exercises 58, use polar...Ch. 14.3 - Prob. 9ECh. 14.3 - Evaluating a Double Integral in Exercises 9-16,...Ch. 14.3 - Prob. 11ECh. 14.3 - Evaluating a Double Integral in Exercises 9-16,...Ch. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - Prob. 16ECh. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Prob. 18ECh. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Prob. 20ECh. 14.3 - Converting to Polar Coordinates In Exercises...Ch. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Prob. 23ECh. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Prob. 25ECh. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Prob. 27ECh. 14.3 - Converting to Polar Coordinates: In Exercises 27...Ch. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - Converting to Polar Coordinates In Exercises 2932,...Ch. 14.3 - Prob. 32ECh. 14.3 - Prob. 33ECh. 14.3 - Prob. 34ECh. 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 - Prob. 44ECh. 14.3 - AreaIn Exercises 4146, use a double integral to...Ch. 14.3 - AreaIn Exercises 4146, use a double integral to...Ch. 14.3 - Prob. 47ECh. 14.3 - Prob. 48ECh. 14.3 - Area: In Exercises 4752, sketch a graph of the...Ch. 14.3 - Area: In Exercises 4752, sketch a graph of the...Ch. 14.3 - Prob. 51ECh. 14.3 - Area: In Exercises, 4752, sketch a graph of the...Ch. 14.3 - Prob. 53ECh. 14.3 - Prob. 54ECh. 14.3 - Prob. 55ECh. 14.3 - Prob. 56ECh. 14.3 - Volume Determine the diameter of a hole that is...Ch. 14.3 - Prob. 58ECh. 14.3 - Prob. 59ECh. 14.3 - Prob. 60ECh. 14.3 - Prob. 61ECh. 14.3 - True or False? In Exercises 61 and 62, determine...Ch. 14.3 - Prob. 63ECh. 14.3 - Prob. 64ECh. 14.3 - Prob. 65ECh. 14.3 - Prob. 66ECh. 14.3 - Prob. 67ECh. 14.3 - Area Show that the area of the polar sector R (see...Ch. 14.4 - Mass of a Planar Lamina Explain when you should...Ch. 14.4 - Moment of InertiaDescribe what the moment of...Ch. 14.4 - Finding the Mass of a Lamina In Exercises 3-6,...Ch. 14.4 - Finding the Mass of a Lamina In Exercises 3-6,...Ch. 14.4 - Finding the Mass of a Lamina In Exercises 3-6,...Ch. 14.4 - Prob. 6ECh. 14.4 - Prob. 7ECh. 14.4 - Prob. 8ECh. 14.4 - Prob. 9ECh. 14.4 - Prob. 10ECh. 14.4 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Prob. 13ECh. 14.4 - Prob. 14ECh. 14.4 - Prob. 15ECh. 14.4 - Prob. 16ECh. 14.4 - Prob. 17ECh. 14.4 - Prob. 18ECh. 14.4 - Prob. 19ECh. 14.4 - Prob. 20ECh. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Prob. 23ECh. 14.4 - Prob. 24ECh. 14.4 - Finding the Center of Mass Using Technology In...Ch. 14.4 - Prob. 26ECh. 14.4 - Prob. 27ECh. 14.4 - Prob. 28ECh. 14.4 - Prob. 29ECh. 14.4 - Prob. 30ECh. 14.4 - Prob. 31ECh. 14.4 - Prob. 32ECh. 14.4 - Finding the Radius of Gyration About Each Axis in...Ch. 14.4 - Prob. 34ECh. 14.4 - Prob. 35ECh. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Finding Moments of Inertia and Radii of Gyration...Ch. 14.4 - Prob. 39ECh. 14.4 - Prob. 40ECh. 14.4 - Prob. 41ECh. 14.4 - Prob. 42ECh. 14.4 - Prob. 43ECh. 14.4 - Prob. 44ECh. 14.4 - Prob. 45ECh. 14.4 - Prob. 46ECh. 14.4 - Prob. 47ECh. 14.4 - HOW DO YOU SEE IT? The center of mass of the...Ch. 14.4 - Prob. 49ECh. 14.5 - CONCEPT CHECK Surface Area What is the...Ch. 14.5 - CONCEPT CHECK Numerical Integration Write a double...Ch. 14.5 - Finding Surface AreaIn Exercises 316, find the...Ch. 14.5 - Finding Surface AreaIn Exercises 316, find the...Ch. 14.5 - Finding Surface Area In Exercises 3-16, find the...Ch. 14.5 - Prob. 6ECh. 14.5 - Finding Surface AreaIn Exercises 316, find the...Ch. 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 - Finding Surface Area In Exercises 17-20, find the...Ch. 14.5 - Finding Surface Area In Exercises 17-20, find the...Ch. 14.5 - Finding Surface Area In Exercises 17-20, find the...Ch. 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 - Prob. 27ECh. 14.5 - Prob. 28ECh. 14.5 - Prob. 29ECh. 14.5 - Prob. 30ECh. 14.5 - Prob. 31ECh. 14.5 - HOW DO YOU SEE IT? Consider the surface...Ch. 14.5 - Prob. 33ECh. 14.5 - Prob. 34ECh. 14.5 - Product DesignA company produces a spherical...Ch. 14.5 - Modeling Data A company builds a ware house with...Ch. 14.5 - Prob. 37ECh. 14.5 - Prob. 38ECh. 14.6 - CONCEPT CHECK Triple Integrals What does Q=QdV...Ch. 14.6 - Prob. 2ECh. 14.6 - Evaluating a Triple Iterated Integral In Exercises...Ch. 14.6 - Evaluating a Triple Iterated Integral In Exercises...Ch. 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 - Evaluating a Triple Iterated Integral Using...Ch. 14.6 - Evaluating a Triple Iterated Integral Using...Ch. 14.6 - Setting Up a Triple IntegralIn Exercises 13-18,...Ch. 14.6 - Setting Up a Triple IntegralIn Exercises 13-18,...Ch. 14.6 - Setting Up a Triple IntegralIn Exercises 13-18,...Ch. 14.6 - Setting Up a Triple IntegralIn Exercises 13-18,...Ch. 14.6 - Prob. 17ECh. 14.6 - Prob. 18ECh. 14.6 - Volume In Exercises 19-24, use a triple integral...Ch. 14.6 - Volume In Exercises 19-24, use a triple integral...Ch. 14.6 - Volume In Exercises 19-24, use a triple integral...Ch. 14.6 - Volume In Exercises 19-24, use a triple integral...Ch. 14.6 - Volume In Exercises 19-24, use a triple integral...Ch. 14.6 - Volume In Exercises 19-24, use a triple integral...Ch. 14.6 - Changing the Order of integration In Exercises...Ch. 14.6 - Changing the Order of integration In Exercises...Ch. 14.6 - Prob. 27ECh. 14.6 - Prob. 28ECh. 14.6 - Changing the Order of Integration In Exercises...Ch. 14.6 - Changing the Order of integration In Exercises...Ch. 14.6 - Orders of Integration In Exercises 31-34, write a...Ch. 14.6 - Orders of Integration In Exercises 31-34, write a...Ch. 14.6 - Prob. 33ECh. 14.6 - Prob. 34ECh. 14.6 - Prob. 35ECh. 14.6 - Orders of Integration In Exercises 35 and 36, the...Ch. 14.6 - Prob. 37ECh. 14.6 - Prob. 38ECh. 14.6 - Prob. 39ECh. 14.6 - Center of Mass In Exercises 37-40, find the mass...Ch. 14.6 - Center of Mass In Exercises 41 and 42, set up the...Ch. 14.6 - Prob. 42ECh. 14.6 - Think About It The center of mass of a solid of...Ch. 14.6 - Prob. 44ECh. 14.6 - Think About It The center of mass of a solid of...Ch. 14.6 - Think About It The center of mass of a solid of...Ch. 14.6 - Centroid In Exercises 47-52, find the centroid of...Ch. 14.6 - Centroid In Exercises 47-52, find the centroid of...Ch. 14.6 - Prob. 49ECh. 14.6 - Centroid In Exercises 47-52, find the centroid of...Ch. 14.6 - Prob. 51ECh. 14.6 - Prob. 52ECh. 14.6 - Moments of Inertia In Exercises 53- 56, find...Ch. 14.6 - Moments of Inertia In Exercises 53- 56, find...Ch. 14.6 - Moments of Inertia In Exercises 53- 56, find...Ch. 14.6 - Prob. 56ECh. 14.6 - Prob. 57ECh. 14.6 - Prob. 58ECh. 14.6 - Moments of Inertia In Exercises 59 and 60, set up...Ch. 14.6 - Moments of Inertia In Exercises 59 and 60, set up...Ch. 14.6 - Prob. 61ECh. 14.6 - Prob. 62ECh. 14.6 - Prob. 63ECh. 14.6 - Prob. 64ECh. 14.6 - Prob. 65ECh. 14.6 - Prob. 66ECh. 14.6 - Prob. 67ECh. 14.6 - Prob. 68ECh. 14.6 - Prob. 69ECh. 14.6 - Prob. 70ECh. 14.6 - Prob. 71ECh. 14.6 - Prob. 72ECh. 14.6 - Prob. 73ECh. 14.7 - CONCEPT CHECK Volume Explain why triple integrals...Ch. 14.7 - CONCEPT CHECK Differential of Volume What is the...Ch. 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 - VolumeIn Exercises 1114, sketch the solid region...Ch. 14.7 - Volume In Exercises 11-14, sketch the solid region...Ch. 14.7 - Volume In Exercises 11-14, sketch the solid region...Ch. 14.7 - Prob. 15ECh. 14.7 - Volume In Exercises 15-20, use cylindrical...Ch. 14.7 - VolumeIn Exercises 1520, use cylindrical...Ch. 14.7 - Volume In Exercises 15-20, use cylindrical...Ch. 14.7 - VolumeIn Exercises 1520, use cylindrical...Ch. 14.7 - Volume In Exercises 15-20, use cylindrical...Ch. 14.7 - Prob. 21ECh. 14.7 - Prob. 22ECh. 14.7 - Prob. 23ECh. 14.7 - Prob. 24ECh. 14.7 - Prob. 27ECh. 14.7 - Prob. 29ECh. 14.7 - VolumeIn Exercises 3134, use spherical coordinates...Ch. 14.7 - VolumeIn Exercises 3134, use spherical coordinates...Ch. 14.7 - Prob. 33ECh. 14.7 - Prob. 34ECh. 14.7 - Prob. 35ECh. 14.7 - MassIn Exercises 35 and 36, use spherical...Ch. 14.7 - Prob. 37ECh. 14.7 - Center of MassIn Exercises 37 and 38, use...Ch. 14.7 - Prob. 39ECh. 14.7 - Prob. 40ECh. 14.7 - Converting CoordinatesIn Exercises 4144, convert...Ch. 14.7 - Converting CoordinatesIn Exercises 4144, convert...Ch. 14.7 - Converting CoordinatesIn Exercises 4144, convert...Ch. 14.7 - Prob. 45ECh. 14.7 - HOW DO YOU SEE IT? The solid is bounded below by...Ch. 14.7 - Prob. 47ECh. 14.8 - CONCEPT CHECK JacobianDescribe how to find the...Ch. 14.8 - CONCEPT CHECK Change of VariableWhen is it...Ch. 14.8 - Prob. 3ECh. 14.8 - Prob. 4ECh. 14.8 - Prob. 5ECh. 14.8 - Prob. 6ECh. 14.8 - Prob. 7ECh. 14.8 - Prob. 8ECh. 14.8 - Prob. 9ECh. 14.8 - Prob. 10ECh. 14.8 - Prob. 11ECh. 14.8 - Using a Transformation In Exercises 11-14, sketch...Ch. 14.8 - Prob. 13ECh. 14.8 - Using a Transformation In Exercises 11-14, sketch...Ch. 14.8 - Prob. 15ECh. 14.8 - Prob. 16ECh. 14.8 - Prob. 17ECh. 14.8 - Evaluating a Double Integral Using a Change of...Ch. 14.8 - Evaluating a Double Integral Using a Change of...Ch. 14.8 - Evaluating a Double Integral Using a Change of...Ch. 14.8 - Evaluating a Double Integral Using a Change of...Ch. 14.8 - Evaluating a Double Integral Using a Change of...Ch. 14.8 - Prob. 23ECh. 14.8 - Prob. 24ECh. 14.8 - Finding Volume Using a Change of Variables In...Ch. 14.8 - Finding Volume Using a Change of Variables In...Ch. 14.8 - Prob. 27ECh. 14.8 - Finding Volume Using a Change of Variables In...Ch. 14.8 - Prob. 29ECh. 14.8 - Prob. 30ECh. 14.8 - Prob. 31ECh. 14.8 - Prob. 32ECh. 14.8 - Prob. 33ECh. 14.8 - VolumeUse the result of Exercise 33 to find the...Ch. 14.8 - Prob. 35ECh. 14.8 - Prob. 36ECh. 14.8 - Prob. 37ECh. 14.8 - Prob. 38ECh. 14.8 - Prob. 39ECh. 14.8 - Prob. 40ECh. 14.8 - Prob. 41ECh. 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 - Finding Volume In Exercises 17-20, use a double...Ch. 14 - Prob. 18RECh. 14 - Prob. 19RECh. 14 - Prob. 20RECh. 14 - Prob. 21RECh. 14 - Prob. 22RECh. 14 - Prob. 23RECh. 14 - Prob. 24RECh. 14 - Converting to Polar CoordinatesIn Exercises 25 and...Ch. 14 - Prob. 26RECh. 14 - VolumeIn Exercises 27 and 28, use a double...Ch. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Prob. 31RECh. 14 - Prob. 32RECh. 14 - Area and VolumeConsider the region R in the xy...Ch. 14 - Converting to Polar Coordinates Write the sum of...Ch. 14 - Prob. 35RECh. 14 - Prob. 36RECh. 14 - Finding the Center of MassIn Exercises 3740, find...Ch. 14 - Prob. 38RECh. 14 - Prob. 39RECh. 14 - Prob. 40RECh. 14 - Prob. 41RECh. 14 - Prob. 42RECh. 14 - Prob. 43RECh. 14 - Finding Surface AreaIn Exercises 4346, find the...Ch. 14 - Prob. 45RECh. 14 - Prob. 46RECh. 14 - Building DesignA new auditorium is built with a...Ch. 14 - Prob. 48RECh. 14 - Prob. 49RECh. 14 - Prob. 50RECh. 14 - Prob. 51RECh. 14 - Prob. 52RECh. 14 - Prob. 53RECh. 14 - Prob. 54RECh. 14 - VolumeIn Exercises 55 and 56, use a triple...Ch. 14 - Prob. 56RECh. 14 - Prob. 57RECh. 14 - Prob. 59RECh. 14 - Prob. 60RECh. 14 - Prob. 61RECh. 14 - Prob. 62RECh. 14 - Prob. 63RECh. 14 - Prob. 64RECh. 14 - Prob. 65RECh. 14 - Prob. 66RECh. 14 - VolumeIn Exercises 67 and 68, use cylindrical...Ch. 14 - Prob. 68RECh. 14 - Prob. 69RECh. 14 - Prob. 70RECh. 14 - Prob. 71RECh. 14 - Prob. 72RECh. 14 - Finding a JcobianIn Exercises 7174, find the...Ch. 14 - Prob. 74RECh. 14 - Prob. 75RECh. 14 - Evaluating a Double Integral Using a Change of...Ch. 14 - Prob. 77RECh. 14 - Prob. 78RECh. 14 - Prob. 1PSCh. 14 - Prob. 2PSCh. 14 - Prob. 3PSCh. 14 - Prob. 4PSCh. 14 - Prob. 5PSCh. 14 - Prob. 6PSCh. 14 - Prob. 7PSCh. 14 - Prob. 8PSCh. 14 - Prob. 9PSCh. 14 - Prob. 10PSCh. 14 - Prob. 11PSCh. 14 - Prob. 12PSCh. 14 - Prob. 14PSCh. 14 - Prob. 15PSCh. 14 - Prob. 16PSCh. 14 - Prob. 18PS
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- Question 15 ✓ 6 pts 1 Details The function shown below is f(x). We are interested in the transformed function g(x) = 3f(2x) - 1 a) Describe all the transformations g(x) has made to f(x) (shifts, stretches, etc). b) NEATLY sketch the transformed function g(x) and upload your graph as a PDF document below. You may use graph paper if you want. Be sure to label your vertical and horizontal scales so that I can tell how big your function is. 1- 0 2 3 4 -1- Choose File No file chosen Question 16 0 pts 1 Detailsarrow_forwardhelparrow_forwardQuestion 2 Let F be a solenoidal vector field, suppose V × F = (-8xy + 12z², −9x² + 4y² + 9z², 6y²), and let (P,Q,R) = V²F(.725, —.283, 1.73). Then the value of sin(2P) + sin(3Q) + sin(4R) is -2.024 1.391 0.186 -0.994 -2.053 -0.647 -0.588 -1.851 1 ptsarrow_forward
- 1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is Question 1 -0.246 0.072 -0.934 0.478 -0.914 -0.855 0.710 0.262 .arrow_forwardanswerarrow_forward1. Given the vector field F(x, y, z) = -zi, verify the relation 1 VF(0,0,0) lim +0+ volume inside S ff F• Nds S. where S, is the surface enclosing a cube centred at the origin and having edges of length 2€. Then, determine if the origin is sink or source.arrow_forward
- Let a = (-4, 5, 4) and 6 = (1,0, -1). Find the angle between the vector 1) The exact angle is cos 2) The approximation in radians isarrow_forwardFind the (exact) direction cosines and (rounded to 1 decimal place) direction angles of = (3,7,6)arrow_forwardLet a = (-1, -2, -3) and 6 = (-4, 0, 1). Find the component of b onto a.arrow_forward
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