PDF File viewer | Micro: X Discrete Mathematics X MATH 3336-19678 Das X Bb Assignment 1(2).pdf x 1/courses/H_20211 COSC_4364_24766/Assignment 1%282%29.pdf Taylor series Problem 7 (3p). (Book exercise 1.2.8) Determine how many terms in the Taylor series for e* are needed to compute e with 13 correct decimal digits, rounded. Problem 8 (2p). (Book exercise 1.2.37 Determine in terms of h the first two terms and the error term in the Taylor series for In(3-2h). Matlab Problem 9. (20p) (Book exercise 1.2.14C) Write a Matlab program for computation of according to the following procedure in single and double precision. Discuss the outcome. Note that by default Matlab uses double precision. Integer k; real a,b,c,d,e,f,g a=0 b=1 c=1/sqrt(2) d = 0.25 e=1 for k=1 to 5 a=b b=(b+c)/2 c = sqrt(ca) d=d-e(b-a) e=2e f = b/d g= (b+c)/(4d) output k,f, If-rl, g. lg-n| end for I Problem 10. (15p) Write a Matlab program that plots sin(x) and the Taylor series approximations in the same plot S = x S =x-x/31 S =x-x/31+x/5! Sy=x-x/31+x/51-x'/7! S =x-x/31+x\/51-x/71 + x/9! L DELL