(a) Evaluate the line integral C F dr, where F(x, y, z) = x i...

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(a) Evaluate the line integral ∫_C F · dr, where F(x, y, z) = x i − z j + y k and C is given by r(t) = 2t i + 3t j − t² k, −1 ≤ t ≤ 1.

(b) Illustrate part (a) by graphing C and the vectors from the vector field corresponding to t = ±1 and ± 1/2 (as in Figure 14).

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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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Question Posted: Apr 20, 2021 07:41 AM

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(a) Evaluate the line integral C F dr, where F(x, y, z) = x i...

Question:

F(r(1)) z 1 (1, 1, 1) F(r(3/4) C F(r(1/2)) 22 1 2.

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Calculus Early Transcendentals

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