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CalculusCalculus10th Edition

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Chapter 10.3, Problem 46E
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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

Solutions

Chapter
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Problem 7E
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Problem 10E
Problem 11E
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Problem 13E
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Problem 15E
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Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
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Problem 28E
Problem 29E
Problem 30E
Problem 32E
Problem 31E
Problem 33E
Problem 34E
Problem 35E
Problem 37E
Problem 36E
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
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Problem 54E
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Problem 63E
Problem 64E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
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Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E
Problem 84E
Problem 85E
Problem 86E
Problem 87E
Problem 88E
Problem 89E
Problem 90E
Problem 91E
Problem 92E
Problem 93E
Problem 94E
Problem 95E
Problem 96E
Problem 97E
Problem 98E
BuyFindarrow_forward

Calculus

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

Arc Length In Exercises 49-54, find the arc length of the curve on the given interval.

Parametric Equations Interval

x = 6 t 2 , y = 2 t 3

1 ≤ t ≤ 4

To determine

To calculate: The arc length of curve x=3t+5,y=7−2t on the interval −1≤t≤3.

Explanation

Given:

The parametric equations,

x=6t2y=2t3

And, the interval 1≤t≤4.

Formula used:

Arc length of Curve is given by:

s=∫ab((dxdt)2+(dydt)2)dt

Calculation:

Consider the parametric equations,

x=6t2y=2t3

Differentiate x=6t2 with respect to t, to get,

dxdt=12t

Differentiate y=2t3 with respect to t, to get,

dydt=6t2

Arc length of Curve is given by:

s=∫ab((dxdt)2+(dydt)2)dt

Substitute the values of dxdt and dydt in above equation, to get,

s=∫14((12t)2+(6t2)2)dt=∫14144t2+36t2dt=∫1436t2(1+4t2)dt=6∫14t(1+4t2)dt

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Finding the Volume of a Solid In Exercises 33-36, find the volume of the solid generated by revolving the regio...

Calculus of a Single Variable

Evaluating a Function In Exercises 7–18 find and simplify the function values. 10. (a) (1, 0) (b) (0, –1) (...

Calculus: Early Transcendental Functions (MindTap Course List)

In DEF,D is a right angle and m F=30. a Find DE if EF = 10m. ______________ b Find EF if DF=63 ft. ___________

Elementary Geometry for College Students

Let A=[0.080.600.300.040.020.010.0200.06] Show that (IA)1=[1.120.690.370.051.050.030.020.011.07]

Finite Mathematics for the Managerial, Life, and Social Sciences

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