Let F ( x , y ) 9 y y 3 , e y ( x 2 3 x ) F ( x , y ) 9 y y 3 , e y ( x 2 3 x ) , and let C 2 C 2 be the oriented curve in Figure 1(B) (a) Show that F F is not conservative (b) Show that C 2 F d r 0 C 2 F d r 0 without explicitly computing the integral Hint Show that F F is orthogonal to the edges ...

a We show that the cross partials of mathbfFx yleftlangle 9 yy3 esqrtyleftx23 xightightangle are not ...

Let F ( x , y ) = 9 y y 3 , e

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Let $F (x, y) = ⟨ 9 y - y^{3}, e^{\sqrt{y}} (x^{2} - 3 x) ⟩$ , and let $C_{2}$ be the oriented curve in Figure 1(B).

y 3 (B) C 3

(a) Show that $F$ is not conservative.
(b) Show that $\int_{C_{2}} F \cdot d r = 0$ without explicitly computing the integral. Hint: Show that $F$ is orthogonal to the edges along the square.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 25, 2024 07:01 AM

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Let F ( x , y ) = 9 y y 3 , e

Question:

y 3 (B) C 3

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a We show that the cross partials of mathbfFx yleftlangle 9 yy3 esqrtyleftx23 xightightangle are not ...View the full answer

Calculus

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