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CalculusCalculus (MindTap Course List)11th Edition

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Chapter 10.5, Problem 69E
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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E
Problem 84E
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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Finding the Area of a Surface of Revolution In Exercises 69 and 70, use the integration capabilities of a graphing utility to approximate the area of the surface formed by revolving the polar equation over the given interval about the polar axis.

r = 4 cos 2 θ ,       [ 0 , π 4 ]

To determine

To calculate: The area of surface formed by revolving the polar equation over the given interval about the polar axis by using the integration capabilities of graphing utility.

Explanation

Given:

Polar equation is given r=4cos2θ and the interval 0≤θ≤π4 and the axis of revolution is polar axis.

Formula Used:

s=2π∫αβf(θ)⋅sinθ(f(θ))2+(f′(θ))2dθ

Calculation:

Given polar equation is r=4cos2θ where interval is 0≤θ≤π4 and the axis of revolution is polar axis

It is known that area of surface will be given by below formula:

s=2π∫αβf(θ)⋅sinθ(f(θ))2+(f′(θ))2dθ

And r=4cos2θ,α=0,β=π4

And

drdθ=f′(θ

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Calculus of a Single Variable

In Exercise 1320, plot the point on a set of coordinate axes. (3,4)

Finite Mathematics for the Managerial, Life, and Social Sciences

If the measures of the angles of a quadrilateral are in the ratio of 3:4:5:6, find the measure of each angle.

Elementary Geometry for College Students

Finding the domain In exercises 310 find the domain of the vector valued function. r(t)=F(t)G(t),where. F(t)=t3...

Multivariable Calculus

True or False: If , then converge absolutely.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

True or False: If , then converge absolutely.

Study Guide for Stewart's Multivariable Calculus, 8th

For each of the situations described, state whether the sampling procedure is simple random sampling, stratifie...

Introduction To Statistics And Data Analysis

A random variable is normally distributed with a mean of m = 50 and a standard deviation of = 5. a. Sketch a n...

Statistics for Business & Economics, Revised (MindTap Course List)

Simplify each expression. Write all answer without using negative exponents. Assume that all variables are rest...

College Algebra (MindTap Course List)

In working further with the problem of exercise 4, statisticians suggested the use of the following curvilinear...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

What are demand characteristics, and how do they limit the validity of the measurements obtained in a research ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Explain the difference among the terms research strategy, research design, and research procedure.

Research Methods for the Behavioral Sciences (MindTap Course List)

Express the following decimal fractions as common fractions. Reduce to lowest terms. 46. 0.0005

Mathematics For Machine Technology

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