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Q1) Evaluate e using two approaches ef= 1 -x+ 3! and + 1 + x + 3! and compare with the true value of 6.737947 10- Use 20 terms to evaluate each series and compute true and approximate relative errors as terms are added. Q2 The Maclaurin series expansion for cos x is x2 X4 x6 x 8 COS X = 1 + + 2 4! 6! 8! Starting with the simplest version, cos x = 1, add terms one at a time to estimate cos(7/3). After each new term is added, compute the true and approximate percent relative errors. Use your pocket calculator to determine the true value. 03 Determine the positive real root of In (x4) = 0.7 (b) using three iterations of the bisection method, with initial guesses of xy = 0.5 and Xu = 2, and (c) using three iterations of the false-position method, with the same initial guesses as in (b)