Show that the value of c F . dr is the same for each parametric representation of

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Show that the value of ∫c F . dr is the same for each parametric representation of C.

F(x, y) = (x² + y2²)i - xj

(a) r1(t) = ti + √tj, 0 ≤ t ≤ 4

(b) r₂(w) = w²i + wj, 0 ≤ w ≤ 2 

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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