1. Let f be a differentiable function such that f(1, 3) = -2, following fa(1,3) = 3, and fy(1,3) = 2. Find the (a) Gradient of f at the point (1,3) :grad f(1,3) (b) Directional derivative of f at the point (1, 3) in the direction of the vector 4 i - 3 j : fz(1,3). (c) estimate f(0.01, 2.99) by applying linear approximation (d) Find the equation of the tangent plane to the surface at the point where x = 1, y = 3. (e) Find the parametric equation of the normal line to the surface at the point where x = 1, y = 3.

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A: Step 1: Step 2: Step 3: Step 4:

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A: The answer provided below has been developed in a clear step by step manner.

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Q: domain of the function

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