Question

Can someone help me with this please?Let f(x,y,z) be a function of three variables. Suppose that C is an oriented curve lying on the level surface f(x,y,z)=1. Find the line integral ∫∇f⋅dr and explain your answer

Answer 1

Hmm... What have you attempted?

Answer 2

I'm thinking fundamental theorem of line intergals but let me see what you got.

Answer 3

@devkota

Answer 4

Since your given f(x,y,z) we could just use the fudamental theorem of line intergals I believe...

Answer 5

So we pick the initial and final point of this curve.

Answer 6

But this is just the number 1.

Answer 7

So the answer should be just 0.