Explanation Given: f ( x , y ) = x along the curve y = x 2 for 0 ≤ x ≤ 1 Formula: Average value of function f a v g = ∫ C f ( x , y ) d s Calculation: Function: f ( x , y ) = x Along the curve y = x 2 for 0 ≤ x ≤ 1 Change into parametric x = t , y = t 2 r ( t ) = < t , t 2 > r ' ( t ) = < 1 , 2 t > d s = 1 + 4 t 2 d t Substitute into formula...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 17.2, Problem 73E

To determine

flux of vector filed $f (x, y) = x$ along the curve $y = x^{2}$ for $0 \leq x \leq 1$

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Chapter 17.2, Problem 72E

Chapter 17.2, Problem 74E

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Chapter 17 Solutions

CALCULUS (CLOTH)

Ch. 17.1 - Prob. 1PQ Ch. 17.1 - Prob. 2PQ Ch. 17.1 - Prob. 3PQ Ch. 17.1 - Prob. 4PQ Ch. 17.1 - Prob. 1E Ch. 17.1 - Prob. 2E Ch. 17.1 - Prob. 3E Ch. 17.1 - Prob. 4E Ch. 17.1 - Prob. 5E Ch. 17.1 - Prob. 6E

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Prob. 55E Ch. 17.1 - Prob. 56E Ch. 17.1 - Prob. 57E Ch. 17.2 - Prob. 1PQ Ch. 17.2 - Prob. 2PQ Ch. 17.2 - Prob. 3PQ Ch. 17.2 - Prob. 4PQ Ch. 17.2 - Prob. 1E Ch. 17.2 - Prob. 2E Ch. 17.2 - Prob. 3E Ch. 17.2 - Prob. 4E Ch. 17.2 - Prob. 5E Ch. 17.2 - Prob. 6E Ch. 17.2 - Prob. 7E Ch. 17.2 - Prob. 8E Ch. 17.2 - Prob. 9E Ch. 17.2 - Prob. 10E Ch. 17.2 - Prob. 11E Ch. 17.2 - Prob. 12E Ch. 17.2 - Prob. 13E Ch. 17.2 - Prob. 14E Ch. 17.2 - Prob. 15E Ch. 17.2 - Prob. 16E Ch. 17.2 - Prob. 17E Ch. 17.2 - Prob. 18E Ch. 17.2 - Prob. 19E Ch. 17.2 - Prob. 20E Ch. 17.2 - Prob. 21E Ch. 17.2 - Prob. 22E Ch. 17.2 - Prob. 23E Ch. 17.2 - Prob. 24E Ch. 17.2 - Prob. 25E Ch. 17.2 - Prob. 26E Ch. 17.2 - Prob. 27E Ch. 17.2 - Prob. 28E Ch. 17.2 - Prob. 29E Ch. 17.2 - Prob. 30E Ch. 17.2 - Prob. 31E Ch. 17.2 - Prob. 32E Ch. 17.2 - Prob. 33E Ch. 17.2 - Prob. 34E Ch. 17.2 - Prob. 35E Ch. 17.2 - Prob. 36E Ch. 17.2 - Prob. 37E Ch. 17.2 - Prob. 38E Ch. 17.2 - Prob. 39E Ch. 17.2 - Prob. 40E Ch. 17.2 - Prob. 41E Ch. 17.2 - Prob. 42E Ch. 17.2 - 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flux of vector filed f ( x , y ) = x along the curve y = x 2 for 0 ≤ x ≤ 1

Solution Summary: The author calculates the average of function f a v g = 1 12 ( 5 5 1 ).

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flux of vector filed $f (x, y) = x$ along the curve $y = x^{2}$ for $0 \leq x \leq 1$

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Chapter 17 Solutions

flux of vector filed f ( x , y ) = x along the curve y = x 2 for 0 ≤ x ≤ 1

Solution Summary: The author calculates the average of function f a v g = 1 12 ( 5 5 1 ).

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flux of vector filed f(x,y)=x along the curve y=x2 for 0≤x≤1

Want to see the full answer?

Chapter 17 Solutions

flux of vector filed $f (x, y) = x$ along the curve $y = x^{2}$ for $0 \leq x \leq 1$