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(A) Assume that x and y are functions of t. If y = x3 + 6x...

(A) Assume that x and y are functions of t. If y = x3 + 6x and dx/dt = 5, find dy/dt when x = 3.

dy
dt

= ?

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

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