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IV. Consider the function h(x, y) = sin?(ry) + y tan z. 1. (4 pts) Approximate sin (-0.202) - 1.01 tan 0.2 using the local

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IV. Consider the function h(x, y) = sin?(ry) + y tan z. 1. (4 pts) Approximate sin (-0.202) - 1.01 tan 0.2 using the local linear approximation of h at (0, -1). 2. (2 pts) Find the rate of change of h at the point P -1) along the direction 7 = (1, -1). Ox 3. (3 pts) If x = - and y & COs(2r) ay Oh find as and as and use them to find as when (r, s) = , 2

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