1. Find the derivative of the following functions: (b) p(t) = 32t* + 2.5t> + 78 - 4 1 (c) a(p) = Compute this problem 2 ways. Use the power rule for the first method. ) Use the quotient rule for the second method. (d) y(#) =t3 t3 (e) (t) =Vt +3-(0.5) (f) E(z) = 2%" (8) (t) = (z+2)2 2. The height of a sand dune (in centimeters) is represented by f(t) = 700 3t*, where is measured in years since 2005. Find f(5) and f'(5). Using units, explain what each means in terms of the sand dune