From Numerical Methods for Engineers (Chapra) 3.8 (a) Evaluate the polynomial y = x3 - 7x2 + 8x 0.35 at x = 1.37. Use 3-digit arithmetic with chopping. Evaluate the percent relative error. (b) Repeat (a) but express y as y = ((x - 7)X + 8)x - 0.35 3.10 Determine the number of terms necessary to approximate cos x to 8 significant figures using the Maclaurin series approximation x xt xo x8 cos x = 1 - + + 2 4! 6! 8! Calculate the approximation using a value of x = 0.31. Q3.1 Convert the following base-2 numbers to base-10: a) 01001011 b) 0111.100011 From Richard burden and Douglas Faires 7. Let f(x) = x3 a. Find the second Taylor polynomial P2(X) about Xo = 1. b. Find R2(0.5) and the actual error in using P2(0.5) to approximate f(0.5)