EBK CALCULUS
EBK CALCULUS
10th Edition
ISBN: 9780100453777
Author: Larson
Publisher: YUZU
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Chapter 7.3, Problem 54E

Volume of an Ellipsoid Consider the plane region bounded by the graph of the ellipse

( x a ) 2 + ( y b ) 2 = 1

where a > 0 and b > 0 . Show that the volume of the ellipsoid formed when this region is revolved about the y-axis is

4 3 π a 2 b .

What is the volume when the region is revolved about the x-axis?

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Chapter 7 Solutions

EBK CALCULUS

Ch. 7.1 - Writing a Definite Integral In Exercises 5-10,...Ch. 7.1 - Writing a Definite Integral In Exercises 5-10,...Ch. 7.1 - Writing a Definite Integral In Exercises 5-10,...Ch. 7.1 - Writing a Definite Integral In Exercises 5-10,...Ch. 7.1 - Writing a Definite Integral In Exercises 510,...Ch. 7.1 - Writing a Definite Integral In Exercises 5-10,...Ch. 7.1 - Finding a Region In Exercises 11-14, the integrand...Ch. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Finding a Region In Exercises 712, the integrand...
Ch. 7.1 - Finding a Region In Exercises 1114, the integrand...Ch. 7.1 - Finding a Region In Exercises 1114, the integrand...Ch. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Comparing Methods In Exercises 29 and 30, find the...Ch. 7.1 - Comparing Methods In Exercises 29 and 30, find the...Ch. 7.1 - Finding the Area of a Region In Exercises 15-28,...Ch. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Finding the Area of a Region In Exercises 15-28,...Ch. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Finding the Area of a Region In Exercises 1730,...Ch. 7.1 - Finding the Area of a Region In Exercises 15-28,...Ch. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Finding the Area of a Region In Exercises 15-28,...Ch. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Finding the Area of a Region In Exercises 31-36,...Ch. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Finding the Area of a Region In Exercises 31-36,...Ch. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Finding the Area of a Region In Exercises 37-42,...Ch. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - Finding the Area of a Region In Exercises 43-46,...Ch. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Integration as an Accumulation Process In...Ch. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Finding the Area of a FigureIn Exercises 57-60,...Ch. 7.1 - Finding the Area of a Figure In Exercises 57-60,...Ch. 7.1 - Prob. 58ECh. 7.1 - Numerical Integration Estimate the surface area of...Ch. 7.1 - Numerical Integration Estimate the surface area of...Ch. 7.1 - Using a Tangent Line In Exercises 6164, set up and...Ch. 7.1 - Using a Tangent Line In Exercises 6164, set up and...Ch. 7.1 - Prob. 63ECh. 7.1 - Prob. 64ECh. 7.1 - Prob. 65ECh. 7.1 - Prob. 66ECh. 7.1 - Prob. 67ECh. 7.1 - Prob. 68ECh. 7.1 - Prob. 69ECh. 7.1 - Dividing a Region In Exercises 69 and 70, find b...Ch. 7.1 - Dividing a Region In Exercises 71 and 72, find a...Ch. 7.1 - Dividing a Region In Exercises 71 and 72, find a...Ch. 7.1 - Prob. 73ECh. 7.1 - Limits and Integrals In Exercises 73 and 74,...Ch. 7.1 - Revenue In Exercises 75 and 76, two models R1 and...Ch. 7.1 - Prob. 76ECh. 7.1 - Lorenz Curve Economists use Lorenz curves to...Ch. 7.1 - Profit The chief financial officer of a company...Ch. 7.1 - Building Design Concrete sections for a new...Ch. 7.1 - Prob. 80ECh. 7.1 - Area Find the area between the graph of y=sinx and...Ch. 7.1 - Area Let a0 and b0. Show that the area of the...Ch. 7.1 - Prob. 83ECh. 7.1 - Prob. 84ECh. 7.1 - True or False? In Exercises 83-86, determine...Ch. 7.1 - Prob. 86ECh. 7.1 - The horizontal line y=c intersects the curve...Ch. 7.2 - Finding the Volume of a Solid In Exercises 58,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 58,...Ch. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Finding the Volume of a Solid In Exercises 16, set...Ch. 7.2 - Finding the Volume of a Solid In Exercises 16, set...Ch. 7.2 - Prob. 7ECh. 7.2 - Finding the Volume of a Solid In Exercises 912,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 912,...Ch. 7.2 - Prob. 10ECh. 7.2 - Finding the Volume of a Solid In Exercises 13-16,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 13-16,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 13-16,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 13-16,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 1720,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 17-20,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 1518,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 1518,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 21-24,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 1922,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 21-24,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 21-24,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 2330,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 25-32,...Ch. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Finding the Volume of a Solid In Exercises 25-32,...Ch. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Finding the Volume of a Solid In Exercises 37-40,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 37-40,...Ch. 7.2 - Prob. 35ECh. 7.2 - Finding the Volume of a Solid In Exercises 37-40,...Ch. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Finding the Volume of a Solid In Exercises 41–48,...Ch. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Finding the Volume of a Solid In Exercises 4148,...Ch. 7.2 - Finding the Volume of a Solid Using Technology In...Ch. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 55ECh. 7.2 - Dividing a Solid In Exercises 55 and 56, consider...Ch. 7.2 - Prob. 58ECh. 7.2 - Volume of a Fuel Tank A tank on the wing of a jet...Ch. 7.2 - Prob. 64ECh. 7.2 - Prob. 65ECh. 7.2 - Water Tower A tank on a water tower is a sphere of...Ch. 7.2 - Minimum Volume The function y=4(x2/4) on the...Ch. 7.2 - Prob. 68ECh. 7.2 - Prob. 70ECh. 7.3 - Prob. 1ECh. 7.3 - Finding the Volume of a Solid In Exercises 3-12,...Ch. 7.3 - Finding the Volume of a Solid In Exercises 3-12,...Ch. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Finding the Volume of a Solid In Exercises 114,...Ch. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Finding the Volume of a Solid In Exercises 13-22,...Ch. 7.3 - Finding the Volume of a Solid In Exercises 13-22,...Ch. 7.3 - Finding the Volume of a Solid In Exercises 13-22,...Ch. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Finding the Volume of a Solid In Exercises 13-22,...Ch. 7.3 - Prob. 23ECh. 7.3 - Finding the Volume of a Solid In Exercises 23-26,...Ch. 7.3 - Prob. 25ECh. 7.3 - Finding the Volume of a Solid In Exercises 23-26,...Ch. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Choosing a Method In Exercises 29-32, use the disk...Ch. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Prob. 33ECh. 7.3 - Finding the Volume of a Solid Using Technology In...Ch. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 39ECh. 7.3 - EXPLORING CONCEPTS Comparing Integrals In...Ch. 7.3 - Comparing Volumes The region in the figure is...Ch. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Machine Part A solid is generated by revolving the...Ch. 7.3 - Machine Part A solid is generated by revolving the...Ch. 7.3 - Volume of a Torus A torus is formed by revolving...Ch. 7.3 - Volume of a Torus Repeat Exercise 49 for a torus...Ch. 7.3 - Prob. 51ECh. 7.3 - Finding Volumes of Solids (a) Use differentiation...Ch. 7.3 - Volume of a Segment of a Sphere Let a sphere of...Ch. 7.3 - Volume of an Ellipsoid Consider the plane region...Ch. 7.3 - Exploration Consider the region bounded by the...Ch. 7.3 - Think About It Match each integral with the solid...Ch. 7.3 - Volume of a Storage Shed A storage shed has a...Ch. 7.3 - Prob. 58ECh. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Finding Volumes of Solids Consider the graph of...Ch. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Finding Arc Length In Exercises 316, find the arc...Ch. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Finding Arc Length In Exercises 7-20, find the arc...Ch. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Finding Arc Length In Exercises 7-20, find the arc...Ch. 7.4 - Prob. 14ECh. 7.4 - Finding Arc Length In Exercises 7-20, find the arc...Ch. 7.4 - Finding Arc Length In Exercises 7-20, find the arc...Ch. 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 - Finding Arc Length In Exercises 21-30, (a) sketch...Ch. 7.4 - Prob. 24ECh. 7.4 - Finding Arc Length In Exercises 21-30, (a) sketch...Ch. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Length of a Catenary Electrical wires suspended...Ch. 7.4 - Roof Area A barn is 100 feet long and 40 feet wide...Ch. 7.4 - Length of Gateway Arch The Gateway Arch in St....Ch. 7.4 - Astroid Find the total length of the graph of the...Ch. 7.4 - Prob. 35ECh. 7.4 - Prob. 36ECh. 7.4 - Finding the Area of a Surface of Revolution In...Ch. 7.4 - Finding the Area of a Surface of Revolution In...Ch. 7.4 - Finding the Area of a Surface of Revolution In...Ch. 7.4 - Finding the Area of a Surface of Revolution In...Ch. 7.4 - Prob. 41ECh. 7.4 - Prob. 42ECh. 7.4 - Finding the Area of a Surface of Revolution In...Ch. 7.4 - Prob. 44ECh. 7.4 - Prob. 45ECh. 7.4 - Prob. 46ECh. 7.4 - Prob. 47ECh. 7.4 - Prob. 48ECh. 7.4 - Prob. 49ECh. 7.4 - Precalculus and Calculus What precalculus formula...Ch. 7.4 - Prob. 51ECh. 7.4 - Prob. 52ECh. 7.4 - Prob. 53ECh. 7.4 - Prob. 54ECh. 7.4 - Prob. 55ECh. 7.4 - Prob. 56ECh. 7.4 - Using a Sphere Find the area of the segment of a...Ch. 7.4 - Prob. 58ECh. 7.4 - Modeling Data The circumference C (in inches) of a...Ch. 7.4 - Modeling Data Property bounded by two...Ch. 7.4 - Prob. 61ECh. 7.4 - Prob. 62ECh. 7.4 - Approximating Arc Length or Surface Area In...Ch. 7.4 - Approximating Arc Length or Surface Area In...Ch. 7.4 - Approximating Arc Length or Surface Area In...Ch. 7.4 - Approximating Arc Length or Surface Area In...Ch. 7.4 - Suspension Bridge A cable for a suspension bridge...Ch. 7.4 - Prob. 68ECh. 7.4 - Prob. 69ECh. 7.4 - Prob. 70ECh. 7.5 - Constant Force In Exercises 5-8, determine the...Ch. 7.5 - Constant Force In Exercises 14, determine the work...Ch. 7.5 - Constant Force In Exercises 5-8, determine the...Ch. 7.5 - Constant Force In Exercises 14, determine the work...Ch. 7.5 - Hooke's Law In Exercises 9-14, use Hookes Law to...Ch. 7.5 - Hooke's Law In Exercises 9-14, use Hookes Law to...Ch. 7.5 - Hooke's Law In Exercises 9-14, use Hookes Law to...Ch. 7.5 - Hooke's Law In Exercises 9-14, use Hookes Law to...Ch. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Propulsion Neglecting air resistance and the...Ch. 7.5 - Propulsion Use the information in Exercise 15 to...Ch. 7.5 - Propulsion Neglecting air resistance and the...Ch. 7.5 - Propulsion A lunar module weighs 12 metric tons on...Ch. 7.5 - Pumping Water A rectangular tank with a base 4...Ch. 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 - Pumping Gasoline In Exercises 27 and 28, find the...Ch. 7.5 - Pumping Gasoline In Exercises 27 and 28, find the...Ch. 7.5 - Winding a Chain In Exercises 29-32, consider a...Ch. 7.5 - Winding a Chain In Exercises 29-32, consider a...Ch. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.5 - Lifting a Chain In Exercises 33 and 34, consider a...Ch. 7.5 - Lifting a Chain In Exercises 33 and 34, consider a...Ch. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7.5 - HOW DO YOU SEE IT? The graphs show the force Fi...Ch. 7.5 - Electric Force Two electrons repel each other with...Ch. 7.5 - Prob. 35ECh. 7.5 - Prob. 37ECh. 7.5 - Prob. 38ECh. 7.5 - Prob. 39ECh. 7.5 - Prob. 40ECh. 7.5 - Prob. 41ECh. 7.5 - Hydraulic Press In Exercises 45-48, use the...Ch. 7.5 - Modeling Data The hydraulic cylinder on a...Ch. 7.6 - Prob. 43ECh. 7.6 - Prob. 1ECh. 7.6 - Prob. 2ECh. 7.6 - Prob. 3ECh. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - Prob. 6ECh. 7.6 - Prob. 7ECh. 7.6 - Prob. 8ECh. 7.6 - Prob. 9ECh. 7.6 - Prob. 10ECh. 7.6 - Center of Mass of a Two-Dimensional System In...Ch. 7.6 - Prob. 12ECh. 7.6 - Prob. 13ECh. 7.6 - Prob. 14ECh. 7.6 - Prob. 15ECh. 7.6 - Center of Mass of a Planar Lamina In Exercises...Ch. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Prob. 19ECh. 7.6 - Prob. 20ECh. 7.6 - Prob. 21ECh. 7.6 - Prob. 22ECh. 7.6 - Prob. 23ECh. 7.6 - Center of Mass of a Planar Lamina In Exercises...Ch. 7.6 - Prob. 25ECh. 7.6 - Prob. 26ECh. 7.6 - Prob. 27ECh. 7.6 - Prob. 28ECh. 7.6 - Prob. 29ECh. 7.6 - Prob. 30ECh. 7.6 - Prob. 31ECh. 7.6 - Prob. 32ECh. 7.6 - Prob. 33ECh. 7.6 - Prob. 34ECh. 7.6 - Finding the Center of Mass Find the center of mass...Ch. 7.6 - Prob. 36ECh. 7.6 - Prob. 37ECh. 7.6 - Prob. 38ECh. 7.6 - Prob. 39ECh. 7.6 - Prob. 40ECh. 7.6 - Prob. 41ECh. 7.6 - Planar Lamina What is a planar lamina? Describe...Ch. 7.6 - Prob. 44ECh. 7.6 - Prob. 45ECh. 7.6 - Prob. 46ECh. 7.6 - Centroid of a Common Region In Exercises 45-50,...Ch. 7.6 - Prob. 48ECh. 7.6 - Centroid of a Common Region In Exercises 45-50,...Ch. 7.6 - Prob. 50ECh. 7.6 - Prob. 51ECh. 7.6 - Graphical and Numerical Reasoning Consider the...Ch. 7.6 - Prob. 53ECh. 7.6 - Modeling Data The manufacturer of a boat needs...Ch. 7.6 - Prob. 55ECh. 7.6 - Prob. 56ECh. 7.6 - Prob. 57ECh. 7.6 - Prob. 58ECh. 7.7 - Force on a Submerged Sheet In Exercises 3-6, the...Ch. 7.7 - Prob. 2ECh. 7.7 - Prob. 3ECh. 7.7 - Prob. 4ECh. 7.7 - Buoyant Force In Exercises 5 and 6, find the...Ch. 7.7 - Prob. 6ECh. 7.7 - Fluid Force on a Tank Wall In Exercises 9-14, find...Ch. 7.7 - Prob. 8ECh. 7.7 - Fluid Force on a Tank Wall In Exercises 914, find...Ch. 7.7 - Fluid Force on a Tank Wall In Exercises 914, find...Ch. 7.7 - Prob. 11ECh. 7.7 - Prob. 12ECh. 7.7 - Fluid Force of a Water In Exercises 15-18, find...Ch. 7.7 - Fluid Force of Water In Exercises 15-18, find the...Ch. 7.7 - Fluid Force of Water In Exercises 1518, find the...Ch. 7.7 - Fluid Force of Water In Exercises 1518, find the...Ch. 7.7 - Prob. 17ECh. 7.7 - Force on a Concrete formIn Exercises 1922, the...Ch. 7.7 - Prob. 19ECh. 7.7 - Prob. 20ECh. 7.7 - Fluid Force of Gasoline A cylindrical gasoline...Ch. 7.7 - Prob. 22ECh. 7.7 - Prob. 33ECh. 7.7 - Prob. 31ECh. 7.7 - HOW DO YOU SEE IT? Two identical semicircular...Ch. 7.7 - Fluid Force on a Circular Plate A circular plate...Ch. 7.7 - Fluid Force on a Circular Plate Use the result of...Ch. 7.7 - Prob. 25ECh. 7.7 - Fluid Force on a Rectangular Plate Use the result...Ch. 7.7 - Submarine Porthole A square porthole on a vertical...Ch. 7.7 - Submarine Pothole Repeat Exercise 33 for a...Ch. 7.7 - Prob. 29ECh. 7.7 - Prob. 30ECh. 7 - Finding the Area of a RegionIn Exercises 110,...Ch. 7 - Finding the Area of a RegionIn Exercises 1-10,...Ch. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Finding the Area of a Region In Exercises 1-10,...Ch. 7 - Prob. 10RECh. 7 - Finding the Area of a Region In Exercises 11-14,...Ch. 7 - Prob. 12RECh. 7 - Finding the Area of a RegionIn Exercises 11-14,...Ch. 7 - Prob. 14RECh. 7 - Numerical Integration Estimate the surface area of...Ch. 7 - Prob. 16RECh. 7 - Prob. 19RECh. 7 - Prob. 22RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Finding the Volume of a Solid In Exercises 23 and...Ch. 7 - Finding the Volume of a Solid In Exercises 23 and...Ch. 7 - Gasoline Tank A gasoline tank is an oblate...Ch. 7 - Using Cross Sections Find the volume of the solid...Ch. 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 - Pumping Water A water well has an 8-inch diameter...Ch. 7 - Prob. 35RECh. 7 - Prob. 34RECh. 7 - Work A windlass, 200 feet above ground level on...Ch. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Finding Volume Use the Theorem of Pappus to find...Ch. 7 - Fluid Force of Seawater Find the fluid force on...Ch. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 1PSCh. 7 - Center of Mass of a Lamina Let L be the lamina of...Ch. 7 - Dividing a Region Let R be the region bounded by...Ch. 7 - Volume A blade is cut through the center of a...Ch. 7 - Prob. 5PSCh. 7 - Torus (a) A torus is formed by revolving the...Ch. 7 - Prob. 7PSCh. 7 - Prob. 8PSCh. 7 - Using Arc Length The graph of y=f(x) passes...Ch. 7 - Prob. 10PSCh. 7 - Prob. 11PSCh. 7 - Prob. 12PSCh. 7 - Prob. 13PSCh. 7 - Prob. 14PSCh. 7 - Prob. 15PSCh. 7 - Prob. 16PSCh. 7 - Prob. 17PS
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