Question

Q3. Find the largest value of t > 0 such that on your computer system (a) e'>0 (b) e' is a finite number The Matlab function exp gives the exponential function. Q4. Using integration by parts the integral J, = ſx"et-'dx can be evaluated as (1) Jo = e ', J, =1 – n.J =1 (1) Using Equation (1) calculate Jn for n=1, 2,...10 (a) with the approximate value e'= 0.367879. (b) with the value él = exp(-1) provided by the Matlab. This is an example of a calculation that is sensitive to error in the initial data. Discuss the differences obtained in (a) and (b). Q5. (Hand calculations. The value of er can be determined as e = 1+x+- 2! +- 3! +- 4! +... By considering a different number of terms ranging from 1 to 5 on the right-hand side of Equation (2), determine the value of e at x=1. Compare the result with the value 2.71828183, and find the absolute and relative error in each case. Optional: modify taylor.m and plot approximations to e' in the range [-1, 1].

Answer 1

Doubt in this then comment below.. i will help you..

By rules and regulations we are allow to do only one question at a time..so i do only 5th

.

Please thumbs up for this solution..thanks..

.

المراة | I dem el 1.71828183 I e-ll - enous assolut 2 de sus e ~ ltr assolute selative es later est ler21 = 0.71828183 esos 1 2111 =1 ey selative ez lt atu? 3 teams 1 - 2.5 leazos a 0.21828183 ele lt lt assolute esos a gelative ein 1 12.5-21

4 ferry ~ Itxt rt els lt it is it to a obsolute eroon felet ve esma le-8)=0.051615163 18-2.51 = 2 . 24 stems en 1txt als ra ef at a 's it+2+ La base assoluto eso le-6s l = 0.009485 Relerive mon loslaat 24