Q1 a) Determine the number of terms necessary to approximate sin x to 6 significant figures using the Maclaurin series approximation b) Calculate the approximation using a value of x = 0.251. Q2 Convert the following base-2 numbers to base-10: a) 01001011 b) 0111.100011 Q3 Evaluate the polynomial at x = 2.563. Use 3-digit arithmetic with chopping. Evaluate the percent relative error. b) Repeat (a) but express y as Q4. Let a) Find the third Taylor polynomial P3(X) about Xo = 0. b) Find R3(0.5) and the actual error in using P3(0.5) to approximate f(0.5)