Let F(x, y) (3x 2 y 2 ) i 2xy j and let C be the curve shown (a) Evaluate C F dr directly (b) Show that F is conservative and find a function f such that F f (c) Evaluate C F dr using Theorem 2 (d) Evaluate C F dr by first replacing C by a simpler curve that has the same initial and terminal points...

a F dr 3x y dx 2xy dy 2 3x 4 x dx 2x 4x Jx2 As dy y 4x 4 x 2x dx x dx 4x 2 2x 4 2x dx 4 ...

Let F(x, y) = (3x 2 + y 2 ) i + 2xy j and let C

Question:

Let F(x, y) = (3x² + y²) i + 2xy j and let C be the curve shown.

(a) Evaluate ∫_C F · dr directly.

(b) Show that F is conservative and find a function f such that F = ∇f .

(d) Evaluate ∫_C F · dr by first replacing C by a simpler curve that has the same initial and terminal points.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Let F(x, y) = (3x 2 + y 2 ) i + 2xy j and let C

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y A (-2, 0) (2, 0) y=-4-x .2

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a F dr 3x y dx 2xy dy 2 3x 4 x dx 2x 4x Jx2 As dy y 4x 4 x 2x dx x dx 4x 2 2x 4 2x dx 4 ...View the full answer

Calculus Early Transcendentals

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