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CalculusCalculus10th Edition

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Chapter 10.5, Problem 53E
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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

Solutions

Chapter
Section
Problem 69E
Problem 1E
Problem 2E
Problem 3E
Problem 4E
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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 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
Problem 85E
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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem

Finding the Arc Length of a Polar Curve In Exercises 53-58, find the length of the curve over the given interval.

r = 4 sin θ ,       [ 0 , π ]

To determine

To calculate: The length of curve the polar equation r=4sinθ in the interval [0,π].

Explanation

Given:

The polar equation is r=4sinθ and the interval is [0,π].

Formula Used:

Length of curve of polar coordinates

s=∫βαr2+(drdθ)2dθ

Here, s is arc length of polar region is, r is distance from the origin of the curve. α And β are the intervals and r=f(θ).

d(sinx)dx=cosx, sin2θ+cos2θ=1 And ∫(a)dx=ax here ‘a’ is a constant

Calculation:

The length of curve of polar coordinates is:

s=∫βαr2+(drdθ)2

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Finite Mathematics for the Managerial, Life, and Social Sciences

Write two-column proofs for Review Exercises 39 to 46. Given: KFFH Prove: KFJ is complementary to JFH

Elementary Geometry for College Students

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