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: 9781319323394

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 W/SAPLING ACCESS >IC<

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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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 $0 \leq x \leq 1$