Define f by 1.04 2y+1 f(x, y) = where h is some continuos function of one variable such that h(0) = 3 and h(1) = 1. Moreover, suppose that f(0,0) = 5. Find the local linear approximation of f at (0,0), and use it to approximate the value of J001 h(t) dt, h(t) dt.

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A: Here we have to find directional derivative of h(x,y,z) in the direction of u.

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A: Duf=∇f·uu

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: To evaluate the gradient of fx, y, z=logx2+y2+z2 at 1, 0, 1.

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A: solve the following

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