(5.) Evaluate the path integral C F(1) = <-, \n (2), 1>5 F(0) = < 0, 0, Fd, where F = (y sin(z), x sin(z), xy cos()) and C is the path that πt. follows the parametric curve ☞(t) = (te' cos(πt), In(t + 1), sin² (7/7)) 0 ≤ t≤1 2 FXF = ^ k (1sin(2) x (2) xg cos(2) = g (4,2) = g(z) ×૧૮૮૨) - f(x, y, z) = xy sin (2) +C

(5.) Evaluate the path integral C F(1) = <-, \n (2), 1>5 F(0) = < 0, 0, Fd, where F = (y sin(z), x sin(z), xy cos()) and C is the path that πt. follows the parametric curve ☞(t) = (te' cos(πt), In(t + 1), sin² (7/7)) 0 ≤ t≤1 2 FXF = ^ k (1sin(2) x (2) xg cos(2) = g (4,2) = g(z) ×૧૮૮૨) - f(x, y, z) = xy sin (2) +C

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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