Question: (8 pts) Consider the curve given by: 2 arctan(xy) = arccos(y - 1). (a) (5 pts) Find dy 25 dax (z,y)=(1,1) 1.5 (b) (3 pts)

(8 pts) Consider the curve given by: 2 arctan(xy) = arccos(y - 1). (a) (5 pts) Find dy 25 dax (z,y)=(1,1) 1.5 (b) (3 pts) One may observe that when 015 x = 1.006, there is a unique y such that 3 (ax, y) is a point on this curve. Use either 05. linear approximation or differentials to -1.5 prove that y ~ 0.997

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