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Consider F and C below. F(x, y) = 6xy2 i + 6x3y j C: r() = (t + sinrt), + cos(t)), 0 sts1 (a) Find a function f such that F = Vf. f(x, y) = Vf · dr along the given curve C. Jc (b) Use part (a) to evaluate

Consider F and C below. F(x, y) = 6xy2 i + 6x3y j C: r() = (t + sinrt), + cos(t)), 0 sts1 (a) Find a function f such that F = Vf. f(x, y) = Vf · dr along the given curve C. Jc (b) Use part (a) to evaluate

Trigonometry (MindTap Course List)
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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Needed to be solved both parts correclty in 40 minutes and get the thumbs up please show neat and clean work
Consider Fand C below. F(x, y) = 6xy² i + 6x?y j C: r(t) = (t + sinat). cos(Gt)). t + cos 0 sts1 (a) Find a function f such that F = Vf. f(x, y) = (b) Use part (a) to evaluate Vf· dr along the given curve C.
Transcribed Image Text:Consider Fand C below. F(x, y) = 6xy² i + 6x?y j C: r(t) = (t + sinat). cos(Gt)). t + cos 0 sts1 (a) Find a function f such that F = Vf. f(x, y) = (b) Use part (a) to evaluate Vf· dr along the given curve C.
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