The purpose of this exercise is to compute an approximation of the integral -:- 00 e-x dx -00 using the Trapezoidal method.

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The purpose of this exercise is to compute an approximation of the integral
dx
using the Trapezoidal method.
a) Plot the function e* for x ranging from -10 to 10 and use the plot to argue
that
e*dx = 2
e-²dx.
b) Let T(n, L) be the approximation of the integral
%3D
2
dx
computed by the Trapezoidal method using n subintervals. Develop a program
that computes the value of 7 for a given n and L.
c) Extend the program to write out values of T (n, L) in a table with rows cor-
responding to n
2.4.6.8. 10.
d) Extend the program to also print a table of the errors in T(n. L) for the same n
100, 200, . .. . 500 and Tolumns corresponding to L
Shot on OnePlus values as in (c). The exact value of the integral is .
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Transcribed Image Text:The purpose of this exercise is to compute an approximation of the integral dx using the Trapezoidal method. a) Plot the function e* for x ranging from -10 to 10 and use the plot to argue that e*dx = 2 e-²dx. b) Let T(n, L) be the approximation of the integral %3D 2 dx computed by the Trapezoidal method using n subintervals. Develop a program that computes the value of 7 for a given n and L. c) Extend the program to write out values of T (n, L) in a table with rows cor- responding to n 2.4.6.8. 10. d) Extend the program to also print a table of the errors in T(n. L) for the same n 100, 200, . .. . 500 and Tolumns corresponding to L Shot on OnePlus values as in (c). The exact value of the integral is . Powered by GQuad Camera
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