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(part a) Assume that x and y are positive functions of t. If x2 + y2...

(part a) Assume that x and y are positive functions of t. If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6.

(part b) Suppose x, y, and z are positive functions of t. If z2 = x2 + y2, dx/dt = 2, and dy/dt = 3, find dz/dt when x = 5 and y = 12.

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