6) When some variable z is a function of time (t), the derivative of z with respect to t is denoted using the "dot" notation: * = r(t). If a(t) and b(t) are positive-valued differentiable functions of time (t), and if A, a, and 3 are constants, find expressions for i/x where (a) r(t) = (a(t))² b(t) (b) x(t) = A (a(t))a (b(t)) ³ a+B (c) z(t) =A((a(t))° + (B(t))) a

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