Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term
Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term
6th Edition
ISBN: 9781305714045
Author: Ron Larson, Bruce H. Edwards
Publisher: Cengage Learning
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Chapter 7.2, Problem 67E

Minimum Volume The function y = 4 − ( x 2 / 4 ) on the interval [0,4] is revolved about the line y = b (see figure).

(a) Find the volume of the resulting solid as a function of b.

(b) Use a graphing utility to graph the function in part (a), and use the graph to approximate the value of b that minimizes the volume of the solid.

(c) Use calculus to find the value of b that minimizes the volume of the solid, and compare the result with the answer to part (b).

Chapter 7.2, Problem 67E, Minimum Volume The function y=4(x2/4) on the interval [0,4] is revolved about the line y=b (see

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Chapter 7 Solutions

Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term

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 5-10,...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 - Finding a Region In Exercises 11-14, the integrand...Ch. 7.1 - Prob. 10E
Ch. 7.1 - Finding a Region In Exercises 11-14, the integrand...Ch. 7.1 - Finding a Region In Exercises 11-14, the integrand...Ch. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Finding the Area of a Region In Exercises 1S-2B,...Ch. 7.1 - Finding the area of a Region In Exercises 15-28....Ch. 7.1 - Finding the area of a Region In Exercises 15-28....Ch. 7.1 - Finding the area of a Region In Exercises 15-28....Ch. 7.1 - Finding the Area of a Region In Exercises 1730,...Ch. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Finding the area of a Region In Exercises 15-28....Ch. 7.1 - Finding the area of a Region In Exercises 15-28....Ch. 7.1 - Finding the area of a Region In Exercises 15-28....Ch. 7.1 - Finding the area of a Region In Exercises 15-28....Ch. 7.1 - Finding the area of a Region In Exercises 15-28....Ch. 7.1 - Finding the area of a Region In Exercises 15-28....Ch. 7.1 - Finding the area of a Region In Exercises 15-28....Ch. 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 31-36,...Ch. 7.1 - Prob. 32ECh. 7.1 - Finding the Area of a Region In Exercises 31-36,...Ch. 7.1 - Finding the Area of a Region In Exercises 31-36,...Ch. 7.1 - Finding the Area of a Region In Exercises 31-36,...Ch. 7.1 - Finding the Area of a Region In Exercises 31-36,...Ch. 7.1 - Finding the Area of a Region In Exercises 37-42,...Ch. 7.1 - Finding the Area of a Region In Exercises 37-42,...Ch. 7.1 - Finding the Area of a Region In Exercises 37-42,...Ch. 7.1 - Prob. 40ECh. 7.1 - Finding the Area of a Region In Exercises 37-42,...Ch. 7.1 - Finding the Area of a Region In Exercises 37-42,...Ch. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 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 - Prob. 51ECh. 7.1 - Integration as an Accumulation Process In...Ch. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Finding the Area of a Figure In Exercises 57-60,...Ch. 7.1 - Numerical Integration Estimate the surface area of...Ch. 7.1 - Numerical Integration Estimate the surface area of...Ch. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.1 - Using a Tangent Line In Exercises 61-64, write and...Ch. 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 - Prob. 70ECh. 7.1 - Prob. 71ECh. 7.1 - Prob. 72ECh. 7.1 - Prob. 73ECh. 7.1 - Prob. 74ECh. 7.1 - Revenue In Exercises 75 and 76. two models R 1,...Ch. 7.1 - Prob. 76ECh. 7.1 - Prob. 77ECh. 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 - Prob. 82ECh. 7.1 - Prob. 83ECh. 7.1 - Prob. 84ECh. 7.1 - Prob. 85ECh. 7.1 - Prob. 86ECh. 7.1 - Prob. 87ECh. 7.2 - Finding the Volume of a Solid In Exercises 5-8,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 5-8,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 16, set...Ch. 7.2 - Prob. 4ECh. 7.2 - Finding the Volume of a Solid In Exercises 5-8,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 5-8,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 9-12,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 9-12,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 9-12,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 9-12,...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 13-16,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 17-20,...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 - Prob. 22ECh. 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 - Finding the Volume of a Solid In Exercises 25-32,...Ch. 7.2 - Prob. 27ECh. 7.2 - Finding the Volume of a Solid In Exercises 25-32,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 25-32,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 25-32,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 33-36,...Ch. 7.2 - Finding the Volume of a Solid In Exercises 33-36,...Ch. 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 - 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. 41ECh. 7.2 - Finding the Volume of a Solid In Exercises 41-48,...Ch. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 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 - Finding the Volume of a Solid Using Technology In...Ch. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Prob. 53ECh. 7.2 - Dividing a Solid In Exercises 55 and 56, consider...Ch. 7.2 - Prob. 56ECh. 7.2 - Manufacturing For the metal sphere in Exercise 59,...Ch. 7.2 - Prob. 63ECh. 7.2 - Prob. 64ECh. 7.2 - Finding Volumes of Solids Find the volumes of the...Ch. 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 - 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 - 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 - 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 - Finding the Volume of a Solid In Exercises 3-12,...Ch. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 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 - Finding the Volume of a Solid In Exercises 3-12,...Ch. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 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. 18ECh. 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. 22ECh. 7.3 - Finding the Volume of a Solid In Exercises 23-26,...Ch. 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 - Choosing a Method In Exercises 27 and 28, decide...Ch. 7.3 - Prob. 28ECh. 7.3 - Choosing a Method In Exercises 29-32, use the disk...Ch. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Finding the Volume of a Solid Using Technology In...Ch. 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 - Prob. 40ECh. 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 - Prob. 47ECh. 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 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Volume of a Segment of a Sphere Let a sphere of...Ch. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Volume of a Storage Shed A storage shed has a...Ch. 7.3 - Modeling Data A pond is approximately circular,...Ch. 7.3 - Equal Volumes Let V1 and V2 be the volumes of the...Ch. 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 7-20, 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 - 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 - 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 - Finding Arc Length In Exercises 7-20, find the arc...Ch. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 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 - Finding Arc LengthIn Exercises1726, (a) sketch the...Ch. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - ApproximationIn Exercises 27 and 28, determine...Ch. 7.4 - ApproximationIn Exercises 27 and 28, determine...Ch. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Length of a Cable An electric cable is hung...Ch. 7.4 - Roof Area A bam 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 - 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 RevolutionIn...Ch. 7.4 - Prob. 44ECh. 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 Using...Ch. 7.4 - Finding the Area of a Surface of Revolution Using...Ch. 7.4 - Prob. 49ECh. 7.4 - Prob. 50ECh. 7.4 - Prob. 51ECh. 7.4 - Prob. 52ECh. 7.4 - Prob. 53ECh. 7.4 - Verifying a Formula (a) Given a circular sector...Ch. 7.4 - Prob. 55ECh. 7.4 - Prob. 56ECh. 7.4 - Prob. 57ECh. 7.4 - Prob. 58ECh. 7.4 - Prob. 59ECh. 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 - Prob. 65ECh. 7.4 - Prob. 66ECh. 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 ForceIn Exercises 14, determine the work...Ch. 7.5 - Constant Force In Exercises 5-8, determine the...Ch. 7.5 - Prob. 4ECh. 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 - Hooke's Law In Exercises 9-14, use Hookes Law to...Ch. 7.5 - Seven and one-half foot-pounds of work is required...Ch. 7.5 - Propulsion Neglecting air resistance and the...Ch. 7.5 - PropulsionUse the information in Exercise 11 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 - Pumping Water A cylindrical water tank 4 meters...Ch. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Pumping Water A hemispherical tank of radius 6...Ch. 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 - Winding a Chain In Exercises 29-32, consider a...Ch. 7.5 - Winding a Chain In Exercises 29-32, consider a...Ch. 7.5 - Lifting a Chain In Exercises 33 and 34, consider a...Ch. 7.5 - Prob. 30ECh. 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 - Prob. 35ECh. 7.5 - Prob. 36ECh. 7.5 - Prob. 37ECh. 7.5 - Prob. 38ECh. 7.5 - Hydraulic Press In Exercises 45-48, use the...Ch. 7.5 - Hydraulic Press In Exercises 45-48, use the...Ch. 7.5 - Hydraulic Press In Exercises 45-48, use the...Ch. 7.5 - Hydraulic Press In Exercises 45-48, use the...Ch. 7.5 - Modeling Data The hydraulic cylinder on a...Ch. 7.6 - Prob. 1ECh. 7.6 - Prob. 2ECh. 7.6 - Center of Mass of a Linear System In Exercises...Ch. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - Prob. 6ECh. 7.6 - Equilibrium of a Linear System In Exercises 9 and...Ch. 7.6 - Equilibrium of a Linear System In Exercises 9 and...Ch. 7.6 - Center of Mass of a Two-Dimensional System In...Ch. 7.6 - Prob. 10ECh. 7.6 - Prob. 11ECh. 7.6 - Center of Mass of a Two-Dimensional System In...Ch. 7.6 - Center of Mass of a Planar Lamina In Exercises...Ch. 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 - Center of Mass of a Planar Lamina In Exercises...Ch. 7.6 - Center of Mass of a Planar Lamina In Exercises...Ch. 7.6 - Center of Mass of a Planar Lamina In Exercises...Ch. 7.6 - Center of Mass of a Planar Lamina In Exercises...Ch. 7.6 - Center of Mass of a Planar Lamina In Exercises...Ch. 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 - Finding the Center of Mass In Exercises 31-34,...Ch. 7.6 - Prob. 32ECh. 7.6 - Finding the Center of Mass In Exercises 31-34,...Ch. 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 - Finding Volume by the Theorem of Pappus In...Ch. 7.6 - Prob. 40ECh. 7.6 - Prob. 41ECh. 7.6 - Prob. 42ECh. 7.6 - WRITING ABOUT CONCEPTS Theorem of Pappus State the...Ch. 7.6 - Prob. 44ECh. 7.6 - Prob. 45ECh. 7.6 - Centroid of a Common Region In Exercises 45-50,...Ch. 7.6 - Centroid of a Common Region In Exercises 45-50,...Ch. 7.6 - Centroid of a Common Region In Exercises 45-50,...Ch. 7.6 - Prob. 49ECh. 7.6 - Prob. 50ECh. 7.6 - Prob. 51ECh. 7.6 - Prob. 52ECh. 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 - Finding a Centroid Let n1 be constant, and...Ch. 7.6 - PUTNAM EXAM CHALLENGE Let V be the region in the...Ch. 7.7 - Prob. 1ECh. 7.7 - Prob. 2ECh. 7.7 - Prob. 3ECh. 7.7 - Force on a Submerged Sheet In Exercises 3-6, the...Ch. 7.7 - Buoyant ForceIn 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 - Fluid Force on a Tank Wall In Exercises 9-14, find...Ch. 7.7 - Fluid Force on a Tank Wall In Exercises 9-14, find...Ch. 7.7 - Fluid Force on a Tank Wall In Exercises 9-14, find...Ch. 7.7 - Fluid Force on a Tank Wall In Exercises 9-14, find...Ch. 7.7 - Fluid Force on a Tank Wall In Exercises 9-14, find...Ch. 7.7 - Fluid Force of Water In Exercises 15-18, Find the...Ch. 7.7 - Fluid Force of Water In Exercises 15-18, Find the...Ch. 7.7 - Fluid Force of Water In Exercises 15-18, Find the...Ch. 7.7 - Fluid Force of Water In Exercises 15-18, Find the...Ch. 7.7 - Prob. 17ECh. 7.7 - Force on a Concrete Form In Exercises 19-22, 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 - EXPLORING CONCEPTS Fluid Pressure Explain why...Ch. 7.7 - Prob. 34ECh. 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 - Fluid Force on a Rectangular Plate A rectangular...Ch. 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 - Prob. 28ECh. 7.7 - Modeling Data The vertical stem of a boat...Ch. 7.7 - Prob. 30ECh. 7.7 - Prob. 31ECh. 7.7 - Prob. 32ECh. 7 - Finding the Area of a Region In Exercises 1-10,...Ch. 7 - Finding the Area of a Region In Exercises 1-10,...Ch. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 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 - Finding the Area of a Region In Exercises 11-14,...Ch. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 20RECh. 7 - Finding the Volume of a Solid In Exercises 19 and...Ch. 7 - Prob. 21RECh. 7 - Prob. 19RECh. 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 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Length of a Catenary A cable of a suspension...Ch. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Hooke's Law A force of 50 pounds stretches a...Ch. 7 - Pumping Water A water well has an 8-inch diameter...Ch. 7 - Prob. 34RECh. 7 - Winding a Chain A chain 10 feet long weighs 4...Ch. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Center of Mass of a Linear System Find the center...Ch. 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 - Force on a Concrete Form The vertical side of a...Ch. 7 - Prob. 47RECh. 7 - Finding a Limit Let R be the area of the region in...Ch. 7 - Prob. 2PSCh. 7 - Dividing a Region Let R be the region bounded by...Ch. 7 - Prob. 5PSCh. 7 - Volume A hole is cut through the center of a...Ch. 7 - Toms (a) A torus is formed by revolving the region...Ch. 7 - Prob. 7PSCh. 7 - Comparing Areas of Regions (a) The tangent line to...Ch. 7 - Prob. 9PSCh. 7 - Prob. 10PSCh. 7 - Archimedes' Principle Archimedes Principle states...Ch. 7 - Prob. 12PSCh. 7 - Prob. 13PSCh. 7 - Prob. 14PSCh. 7 - Prob. 15PSCh. 7 - Prob. 16PSCh. 7 - Prob. 17PS
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