# Given is the function x(t) = e -at -e -bt . Let a = 1 and b = 2. (a) Manually, find an expression…

Given is the function x(t) = e-at-e-bt. Let a = 1 and b = 2.

(a) Manually, find an expression for the area A under x(t) from t = 0 to t = 5. Write a script to:

(b) Plot x(t) for t = 0 to t = 5. Use N = 501 values of t in the given time range

(c) Calculate A using the expression found in part (a)

(d) Apply Euler’s method to find an approximation of A for N = 11, 111, and 211

(e) Output a table of the difference between A and its approximation for each N. Use format long e for all program output. Provide a listing of your program and the results.

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