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6. (12 points) Let f (x, y) = Vx4 + 34 + 2. (a) Find the tangent plane to the surface z = f(x, y)

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6. (12 points) Let f (x, y) = Vx4 + 34 + 2. (a) Find the tangent plane to the surface z = f(x, y) at the point (1, 1, 2). (b) Use linear approximation to estimate V(1.03)4 + (0.95)4 + 2. Sunmanasa Jou nolderolo off (c) Consider the level curve in the xy-plane given by f(x, y) = 2. Find the tangent line to this curve at the point (1, 1)

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