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Name : Score: Math 148 Quiz 9: §10.5–10.6 Directions: Answer each question completely. credit, and circle your final answer. 1. Let z = Show all work to receive full p dz x2 + y 2 where x = t and y = sin t. Find when t = π. dt 2. Find the local extrema and saddle points of f (x, y) = e−(x 1 2 +y 2 ) . 3. Let f (x, y) = 2xy 3 − 3x2 y. (a) Find the gradient of f . (b) Find the directional derivative of f at the point (2, 1) in the direction of the vector ~v = h1, 1i. (c) In which direction does f increase most rapidly at (2, 1)? What is the maximum rate of change? 2