Fbyjierf
Given the vector field {eq}F(x, y) = 2 xe^{y}i (2y x^2e^{y}) j {/eq} a) Find f such that ∇f = F b) Evaluate the line integral {eq}\int_C {/eq}Fdr where C is the curve traversed by r(t.
Fbyjierf. A) Show that {eq}\displaystyle F (x, y) = (ye^{xy} \cos(x y)) i (xe^{xy} \cos(x y) j {/eq} is the gradient of some function {eq}\displaystyle f {/eq}.
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