Let f(x) = exp(-x). (a) (15 pts) Give the first three terms (i.e. p2(x)) of the Taylor series for f(x) expanded about x0=0. Explicitly write out the appropriate derivatives. (b) (15 pts) Give the error term Rz(x). Explicitly write out the appropriate derivatives. (c) (15 pts) If x can be anywhere on the interval [-1,+1], find a numerical upper bound on the magnitude of R3(x). (d) (15 pts) For x=0.3, give an equation that could be solved for , the Greek letter in the formula for R3(x). Do not solve the equation