Question1: If y3+ xy2 = 1 find y ‘(x)
Question2: An object moves according to the equation s(t) = 4t ? 32t.
[A] The instantaneous rate of change at t = a is lim h → 0 (average rate of change over t = a to t = a+h) find the instantaneous rate of change of s(t) at t = 2. Show all work to receive full credit.
[B] Calculate the average rate of change of s(t) over the interval t = a to t = a+h. Show all work to receive full credit.
[C] Calculate the average rate of change of s(t) over the interval t = 2 to t = 2+h. Show all work to receive full credit.