Mathematics, 06.12.2019 20:31 taylormack60

Consider f and c below. f(x, y) = 6xy2 i + 6x2y j c: r(t) = t + sin 1 2 πt , t + cos 1 2 πt , 0 ≤ t ≤ 1 (a) find a function f such that f = ∇f. f(x, y) = (b) use part (a) to evaluate c ∇f · dr along the given curve c.

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Consider f and c below. f(x, y) = 6xy2 i + 6x2y j c: r(t) = t + sin 1 2 πt , t + cos 1 2 πt , 0 ≤ t...