Exercise 1. Let f(x) = sin(2x). (a) Find L(x) at a = 0. (b) Use L(x) to approximate sin (0.2). (c) Estimate the error in the above approximation. Exercise 2. Let p > 0 be a constant. Define f(x) = (1 + x)? where p > 0 is a constant. (a) Show that at a = 0, L(x) = 1 + px. (b) Use L(x) to approximate (1.2) P. (c) Estimate the error in the above approximation