Consider the vector field ű = yi + 5zj and function f(z, y) = 5z2 – y. In this problem we show that the flow lines of t (a) Suppose that #(t) = z(t)i+ y(t)j is a flow line of v. Let g(t) = f(7(t)). If # is a level curve of f(z, y), that is g'(t)? g(t) - 0 %3D

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Q: f(x,y) = 2x3+4y3-3x2-120x-192y+5 Is f(x,y) a curve, vector field, or surface?

A: To check whether it is a curve, vector or surface. f(x,y) = 2x3+4y3-3x2-120x-192y+5

Q: a) Compute the gradient of the function f(x, y, z) = e*y² . b)Compute the directional derivative Daf…

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