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Suppose that you are at the point with coordinates (.8,.8) in a region where the altitude is given by f(x,y)=sin(pix+2piy). In what directions could you go in order to stay at the same elevation? Jordan says the key to solving this problem is to use level curves. Lindsay says the key is to use the gradient and directional derivatives. Explain why both of them are correct? I got the answer to "What directions can you move it" I just need to figure out why BOTH Jordan and Lindsay are correct.

Mathematics
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what class is this? this seems really hard..Im taking Algebra 2 right now
This is Calc 3, its really not THAT hard . It just takes some understanding since its 3 dimensions (x,y,z) instead of just (x,y) . I took Algebra 2 then calc 1, calc 2, and now im in calc 3. I am an engineering student so I still need to take linear algebra and multi variable calc

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