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(a) find a function f such that f = ∇f and (b) use part (a) to evaluate f(x,y)=xy^2i+x^2yj
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(a) find a function f such that f = ∇f and (b) use part (a) to evaluate f(x,y)=xy^2i+x^2yj

User Jordan Doyle
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1 Answer

3 votes
f = U i + V j
∇f = Ux i + Vy j

So
Ux=U ⇒ U= g1(y)*e^x
Vy=V ⇒ V= g2(x)*e^y

For part 2, evaluate what ??
User Victor Sigler
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