Calculus: Early Transcendental Functions
7th Edition
ISBN: 9781337552516
Author: Ron Larson, Bruce H. Edwards
Publisher: Cengage Learning
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Chapter 14.2, Problem 73E
To determine
To calculate: The average value of
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The stopping distance d of a car driven at velocity v by an unimpaired
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given by the following table. The function d(v), measured in feet, is twice-differentiable with d' (v) > 0.
v: velocity (mph)
20 30 40 50 60 70 80
d: stopping distance (feet) 39 75 118 172 230 305 395
a) Find the average rate of change of the stopping distance of the car between 20 and 30 mph. Specify units.
b) Estimate d'(78). Be sure to specify units.
c) Find h'(v) given that h(v) = e.d(v)
d) Is there some velocity for which the stopping distance is 100 feet? Use the Intermediate Value Theorem to explain
your thinking.
leave answer in calc ready form
Area under the curve
x + y = 3 and the coordinate axis
Chapter 14 Solutions
Calculus: Early Transcendental Functions
Ch. 14.1 - Evaluate the iterated integral: 0433cosrdrdCh. 14.1 - CONCEPT CHECK Region of Integration Sketch the...Ch. 14.1 - Evaluate the integral: 0x(2xy)dyCh. 14.1 - Evaluate the integral: xx2yxdyCh. 14.1 - Evaluate the integral: 04x2x2ydyCh. 14.1 - Evaluate the integral: x3x(x2+3y2)dyCh. 14.1 - Evaluate the integral: eyyylnxxdx;y0Ch. 14.1 - Evaluate the integral: 1y21y2(x2+y2)dxCh. 14.1 - Evaluate the integral: 0x2yeyxdyCh. 14.1 - Evaluate the integral: y2sin3xcosydx
Ch. 14.1 - Evaluate the iterated integral: 0102(x+y)dydxCh. 14.1 - Prob. 12ECh. 14.1 - Evaluate the iterated integral: 0401ycosxdydxCh. 14.1 - Prob. 14ECh. 14.1 - Evaluate the iterated integral: 0206x2x3dydxCh. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Evaluate the iterated integral: 010x1x2dydxCh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Evaluate the iterated integral: 0204y224y2dxdyCh. 14.1 - Prob. 24ECh. 14.1 - Evaluate the iterated integral: 0202cosrdrdCh. 14.1 - Prob. 26ECh. 14.1 - Evaluating an Iterated Integral In Exercises...Ch. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Evaluate the improper iterated integral: 111xydxdyCh. 14.1 - Evaluating an Improper Iterated Integral In...Ch. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - Prob. 37ECh. 14.1 - Finding the Area of a Region In Exercises37-42,...Ch. 14.1 - Finding the Area of a Region In Exercises37-42,...Ch. 14.1 - Prob. 40ECh. 14.1 - Finding the Area of a Region In Exercises37-42,...Ch. 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 - Changing the Order of Integration In Exercises...Ch. 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 - Changing the Order of Integration In Exercises...Ch. 14.1 - Changing the Order of Integration In Exercises...Ch. 14.1 - Prob. 54ECh. 14.1 - Changing the Order of Integration In Exercises...Ch. 14.1 - Changing the Order of Integration In Exercises...Ch. 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 - Changing the Order of Integration In Exercises...Ch. 14.1 - Prob. 66ECh. 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 - Prob. 76ECh. 14.1 - Prob. 77ECh. 14.1 - Prob. 78ECh. 14.1 - Prob. 79ECh. 14.1 - True or False? In Exercises 79 and 80, determine...Ch. 14.2 - CONCEPT CHECK Approximating the Volume of a Solid...Ch. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - Prob. 4ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - Evaluating a Double Integral In Exercises 7-12,...Ch. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Evaluating a Double Integral In Exercises 7-12,...Ch. 14.2 - Prob. 13ECh. 14.2 - Evaluating a Double Integral In Exercises13-20,...Ch. 14.2 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - Prob. 17ECh. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Finding Volume In Exercise 21-26, use double...Ch. 14.2 - Finding Volume In Exercise 21-26, use double...Ch. 14.2 - Finding Volume In Exercise 21-26, use double...Ch. 14.2 - Prob. 27ECh. 14.2 - Prob. 28ECh. 14.2 - Finding Volume In Exercises 29-34, set up and...Ch. 14.2 - Finding Volume In Exercises 29-34, set up and...Ch. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - Prob. 34ECh. 14.2 - Prob. 35ECh. 14.2 - Prob. 36ECh. 14.2 - Volume of a Region Bounded by Two Surfaces In...Ch. 14.2 - Volume of a Region Bounded by Two Surfaces In...Ch. 14.2 - Volume of a Region Bounded by Two Surfaces In...Ch. 14.2 - Prob. 40ECh. 14.2 - Finding Volume Using Technology In Exercises...Ch. 14.2 - Finding Volume Using Technology In Exercises...Ch. 14.2 - Prob. 43ECh. 14.2 - Prob. 44ECh. 14.2 - Evaluating an Iterated Integral In Exercises...Ch. 14.2 - Prob. 46ECh. 14.2 - Prob. 47ECh. 14.2 - Prob. 48ECh. 14.2 - Prob. 49ECh. 14.2 - Evaluating an Iterated Integral In Exercises...Ch. 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 - Average Production The Cobb-Douglas production...Ch. 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 - Finding Volume Find the volume of the solid in the...Ch. 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 - Show that if 12 there does not exist a real-valued...Ch. 14.3 - CONCEPT CHECK Choosing a Coordinate System In...Ch. 14.3 - Prob. 2ECh. 14.3 - Describing Regions In your own words, describe...Ch. 14.3 - Prob. 4ECh. 14.3 - Describing a Region In Exercises 5-8, use polar...Ch. 14.3 - Describing a Region In Exercises 5-8, use polar...Ch. 14.3 - Describing a Region In Exercises 5-8, use polar...Ch. 14.3 - Describing a Region In Exercises 5-8, use polar...Ch. 14.3 - Evaluating a Double Integral in Exercises 9-16,...Ch. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - Evaluating a Double Integral: In Exercises 9-16,...Ch. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - Prob. 16ECh. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Converting to Polar CoordinatesIn Exercises 17-26,...Ch. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Prob. 23ECh. 14.3 - Prob. 24ECh. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Prob. 28ECh. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Converting to Polar Coordinates: In Exercises...Ch. 14.3 - Prob. 32ECh. 14.3 - In Exercises 33-38, use a double integral in polar...Ch. 14.3 - In Exercises 33-38, use a double integral in polar...Ch. 14.3 - Prob. 35ECh. 14.3 - In Exercises 33-38, use a double integral in polar...Ch. 14.3 - Prob. 37ECh. 14.3 - In Exercises 33-38, use a double integral in polar...Ch. 14.3 - Prob. 39ECh. 14.3 - Prob. 40ECh. 14.3 - Prob. 41ECh. 14.3 - AreaIn Exercises 41-46, use a double integral to...Ch. 14.3 - AreaIn Exercises 41-46, use a double integral to...Ch. 14.3 - Prob. 44ECh. 14.3 - Prob. 45ECh. 14.3 - Prob. 46ECh. 14.3 - Prob. 47ECh. 14.3 - Prob. 48ECh. 14.3 - Area: In Exercises 47-52, sketch a graph of the...Ch. 14.3 - Area: In Exercises 47-52, sketch a graph of the...Ch. 14.3 - Prob. 51ECh. 14.3 - Prob. 52ECh. 14.3 - Prob. 53ECh. 14.3 - Prob. 54ECh. 14.3 - Population The population density of a city is...Ch. 14.3 - Prob. 56ECh. 14.3 - Prob. 57ECh. 14.3 - Glacier Horizontal cross sections of a piece of...Ch. 14.3 - Prob. 59ECh. 14.3 - Prob. 60ECh. 14.3 - Prob. 61ECh. 14.3 - Prob. 62ECh. 14.3 - Prob. 63ECh. 14.3 - Prob. 64ECh. 14.3 - Prob. 65ECh. 14.3 - Prob. 66ECh. 14.3 - Prob. 67ECh. 14.3 - Prob. 68ECh. 14.4 - CONCEPT CHECK Mass of a Planar Lamina Explain when...Ch. 14.4 - Prob. 2ECh. 14.4 - Prob. 3ECh. 14.4 - Prob. 4ECh. 14.4 - Prob. 5ECh. 14.4 - Prob. 6ECh. 14.4 - Finding the Center of Mass In Exercises 7-10, find...Ch. 14.4 - Finding the Center of Mass In Exercises 7-10, find...Ch. 14.4 - Prob. 9ECh. 14.4 - Finding the Center of Mass In Exercises 7-10, find...Ch. 14.4 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Finding the Center of Mass In Exercises 13-24,...Ch. 14.4 - Finding the Center of Mass In Exercises 13-24,...Ch. 14.4 - Finding the Center of Mass In Exercises 13-24,...Ch. 14.4 - Finding the Center of Mass In Exercises 13-24,...Ch. 14.4 - Finding the Center of Mass In Exercises 13-24,...Ch. 14.4 - Finding the Center of Mass In Exercises 13-24,...Ch. 14.4 - Finding the Center of Mass In Exercises 13-24,...Ch. 14.4 - Finding the Center of Mass In Exercises 13-24,...Ch. 14.4 - Finding the Center of Mass In Exercises 13-24,...Ch. 14.4 - Finding the Center of Mass In Exercises 13-24,...Ch. 14.4 - Prob. 23ECh. 14.4 - Finding the Center of Mass In Exercises 13-24,...Ch. 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 - Finding the Radius of Gyration About Each Axis In...Ch. 14.4 - Prob. 31ECh. 14.4 - Prob. 32ECh. 14.4 - Prob. 33ECh. 14.4 - Finding the Radius of Gyration About Each Axis In...Ch. 14.4 - Prob. 35ECh. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - Prob. 39ECh. 14.4 - Prob. 40ECh. 14.4 - Prob. 41ECh. 14.4 - Prob. 42ECh. 14.4 - Hydraulics In Exercises 43-46, determine the...Ch. 14.4 - Hydraulics In Exercises 43-46, determine the...Ch. 14.4 - Hydraulics In Exercises 43-46, determine the...Ch. 14.4 - Hydraulics In Exercises 43-46, determine the...Ch. 14.4 - Polar Moment of Inertia What does it mean for an...Ch. 14.4 - HOW DO YOU SEE IT? The center of mass of the...Ch. 14.4 - Proof Prove the following Theorem of Pappus: Let R...Ch. 14.5 - CONCEPT CHECK Surface Area What is the...Ch. 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 - 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 - Prob. 32ECh. 14.5 - Prob. 33ECh. 14.5 - Prob. 34ECh. 14.5 - Prob. 35ECh. 14.5 - Prob. 36ECh. 14.5 - Prob. 37ECh. 14.5 - Surface Area Show that the surface area of the...Ch. 14.6 - Prob. 1ECh. 14.6 - Prob. 2ECh. 14.6 - Evaluating a Triple Iterated Integral In Exercises...Ch. 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 - Volume In Exercises 19-24, use a triple integral...Ch. 14.6 - Volume In Exercises 19-24, use a triple integral...Ch. 14.6 - Prob. 21ECh. 14.6 - Prob. 22ECh. 14.6 - Volume In Exercises 19-24, use a triple integral...Ch. 14.6 - Prob. 24ECh. 14.6 - Prob. 25ECh. 14.6 - Prob. 26ECh. 14.6 - Prob. 27ECh. 14.6 - Changing the Order of Integration In Exercises...Ch. 14.6 - Prob. 29ECh. 14.6 - Changing the Order of Integration In Exercises...Ch. 14.6 - Prob. 31ECh. 14.6 - Orders of Integration In Exercises 31-34, write a...Ch. 14.6 - Prob. 33ECh. 14.6 - Prob. 34ECh. 14.6 - Orders of Integration In Exercises 35 and 36, the...Ch. 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 - Think About It The center of mass of a solid of...Ch. 14.6 - Prob. 45ECh. 14.6 - Prob. 46ECh. 14.6 - Prob. 47ECh. 14.6 - Prob. 48ECh. 14.6 - Prob. 49ECh. 14.6 - CentroidIn Exercises 47-52, find the centroid of...Ch. 14.6 - CentroidIn Exercises 47-52, find the centroid of...Ch. 14.6 - CentroidIn Exercises 47-52, find the centroid of...Ch. 14.6 - Prob. 53ECh. 14.6 - Prob. 54ECh. 14.6 - Prob. 55ECh. 14.6 - Moments of InertiaIn Exercises 53- 56, find Ix,Iy,...Ch. 14.6 - Prob. 57ECh. 14.6 - Prob. 58ECh. 14.6 - Moments of InertiaIn Exercises 59 and 60, set up a...Ch. 14.6 - Prob. 60ECh. 14.6 - Prob. 61ECh. 14.6 - Prob. 62ECh. 14.6 - Average ValueIn Exercises 63-66, find the average...Ch. 14.6 - Prob. 64ECh. 14.6 - Prob. 65ECh. 14.6 - Prob. 66ECh. 14.6 - EXPLORING CONCEPTS Moment of Inertia Determine...Ch. 14.6 - Using Different Methods Find the volume of the...Ch. 14.6 - EXPLORING CONCEPTS (continued) Think About It...Ch. 14.6 - Prob. 70ECh. 14.6 - Maximizing a Triple Integral Find the solid region...Ch. 14.6 - Prob. 72ECh. 14.6 - Prob. 73ECh. 14.7 - CONCEPT CHECK Volume Explain why triple integrals...Ch. 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 - Evaluating a Triple Iterated IntegralIn Exercises...Ch. 14.7 - Prob. 9ECh. 14.7 - Prob. 10ECh. 14.7 - Prob. 11ECh. 14.7 - Prob. 12ECh. 14.7 - Prob. 13ECh. 14.7 - Volume In Exercises 11-14, sketch the solid region...Ch. 14.7 - Prob. 15ECh. 14.7 - Prob. 16ECh. 14.7 - Prob. 17ECh. 14.7 - Prob. 18ECh. 14.7 - Volume In Exercises 15-20, use cylindrical...Ch. 14.7 - Prob. 20ECh. 14.7 - Prob. 21ECh. 14.7 - Prob. 22ECh. 14.7 - Using Cylindrical CoordinatesIn Exercises 23-28,...Ch. 14.7 - Prob. 24ECh. 14.7 - Prob. 27ECh. 14.7 - Prob. 29ECh. 14.7 - Prob. 31ECh. 14.7 - Volume In Exercises 31-34, use spherical...Ch. 14.7 - Volume In Exercises 31-34, use spherical...Ch. 14.7 - Volume In Exercises 31-34, use spherical...Ch. 14.7 - Mass In Exercises 35 and 36, use spherical...Ch. 14.7 - Mass In 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 - Moment of Inertia In Exercises 39 and 40, use...Ch. 14.7 - Prob. 41ECh. 14.7 - Prob. 43ECh. 14.7 - Converting Coordinates In Exercises 41-44, 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 - Prob. 1ECh. 14.8 - Prob. 2ECh. 14.8 - Prob. 3ECh. 14.8 - Prob. 4ECh. 14.8 - Prob. 5ECh. 14.8 - Finding a Jacobian In Exercises 3-10, find the...Ch. 14.8 - Finding a Jacobian In Exercises 3-10, find the...Ch. 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 - Prob. 14ECh. 14.8 - Prob. 15ECh. 14.8 - Prob. 16ECh. 14.8 - Prob. 17ECh. 14.8 - Prob. 18ECh. 14.8 - Prob. 19ECh. 14.8 - Prob. 20ECh. 14.8 - Prob. 21ECh. 14.8 - Evaluating a Double Integral Using a Change of...Ch. 14.8 - Prob. 23ECh. 14.8 - Prob. 24ECh. 14.8 - Prob. 25ECh. 14.8 - Prob. 26ECh. 14.8 - Prob. 27ECh. 14.8 - Prob. 28ECh. 14.8 - Prob. 29ECh. 14.8 - Prob. 30ECh. 14.8 - Prob. 31ECh. 14.8 - Prob. 32ECh. 14.8 - Using an Ellipse Consider the region R in the...Ch. 14.8 - Prob. 34ECh. 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 - Evaluating an Integral In Exercises 1 and 2,...Ch. 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 - Finding the Area of a Region In Exercises 7-10,...Ch. 14 - Prob. 11RECh. 14 - Prob. 12RECh. 14 - Prob. 13RECh. 14 - Prob. 14RECh. 14 - Prob. 15RECh. 14 - Prob. 16RECh. 14 - Prob. 17RECh. 14 - Finding Volume In Exercises 17-20, use a double...Ch. 14 - Prob. 19RECh. 14 - Prob. 20RECh. 14 - Prob. 21RECh. 14 - Prob. 22RECh. 14 - Prob. 23RECh. 14 - Prob. 24RECh. 14 - Prob. 25RECh. 14 - Converting to Polar Coordinates In Exercises 25...Ch. 14 - Prob. 27RECh. 14 - Volume In Exercises 27 and 28, use a double...Ch. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Prob. 31RECh. 14 - Prob. 32RECh. 14 - Area and Volume Consider the region R in the...Ch. 14 - Prob. 34RECh. 14 - Prob. 35RECh. 14 - Prob. 36RECh. 14 - Prob. 37RECh. 14 - Prob. 38RECh. 14 - Prob. 39RECh. 14 - Prob. 40RECh. 14 - Prob. 41RECh. 14 - Prob. 42RECh. 14 - Prob. 43RECh. 14 - Prob. 44RECh. 14 - Prob. 45RECh. 14 - Prob. 46RECh. 14 - Building Design A new auditorium is built with a...Ch. 14 - Surface Area The roof over the stage of an open...Ch. 14 - Prob. 49RECh. 14 - Prob. 50RECh. 14 - Prob. 51RECh. 14 - Prob. 52RECh. 14 - Prob. 53RECh. 14 - Prob. 54RECh. 14 - Prob. 55RECh. 14 - Prob. 56RECh. 14 - Changing the Order of Integration In Exercises 57...Ch. 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 - Prob. 67RECh. 14 - Prob. 68RECh. 14 - Prob. 69RECh. 14 - Prob. 70RECh. 14 - Prob. 71RECh. 14 - Prob. 72RECh. 14 - Prob. 73RECh. 14 - Prob. 74RECh. 14 - Prob. 75RECh. 14 - Evaluating a Double Integral Using a Change of...Ch. 14 - Prob. 77RECh. 14 - Prob. 78RECh. 14 - Volume Find the volume of the solid of...Ch. 14 - Prob. 2PSCh. 14 - Prob. 3PSCh. 14 - Prob. 4PSCh. 14 - Prob. 5PSCh. 14 - Prob. 6PSCh. 14 - Prob. 7PSCh. 14 - Volume Show that the volume of a spherical block...Ch. 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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