1. Determine the critical points of the function given by f (2:) = (51:2 1)3 and use them to identify the absolute maximum and absolute minimum values of on [27 2]. 2. Let f (a?) = em. We are going to nd a degree three polynomial that approximates f (m) for m values close to x = 0. 20 15 10 Let P(x) = a0+a1$+a22+a3x3. Determine the value of 0:0 by setting f(0) = P(0) and solving for em. Next, determine the value of in by solving the equation f'(0) : P'(0) for G1. Continuing in this way, set f\"(0) = P\"(0) and determine the value of a2. Finally, set f'\"(0) = P\"'(0) and compute the value of a3. Do you notice a pattern? Speculate on What a degree n polynomial approximation for em might look like