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I need help with the 5 questions shown in the screenshot. Thank you in advance! 1. Determine an equation of the tangent plane to the

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I need help with the 5 questions shown in the screenshot. Thank you in advance!

image text in transcribed
1. Determine an equation of the tangent plane to the function f(x, y) = ex-y at the point (2, 4). 2. Suppose u = f(w, x, y, z) is a differentiable function, with w = w(r, s), x = x(r, s), y = du y(r, s) and z = z(r, s). Determine an expression for ar 3. Suppose z = f(x, y) is a differentiable function, with a = r + s' and y = e" + s. at (r, s) = (0, 1) if we have the following values of the partial derivatives Compute ar of f(x, y). of Of of (1,0) = 9 (0, 1) = 6, of (0, 1) = 7, (1, 0) = 8, ay Ox ay of fe of of (1, 2 ) = 2, ay (1, 2) = 3, ax (2, 1) = 4, ay (2, 1) = 5 4. Determine the equation of the tangent plane to the surface 23 + x22 + yz = 3 at the point (1, 1, 1). 5. Let f(x, y) = Vx3 + y3. Compute fx(0, 0)

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