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You work as a software engineer in a company that develops software for providing approximate numerical solutions to complex mathematical problems. Your manager asked you to develop two software products for (i) finding the roots of complex functions and (ii) performing complex integrations. Task 1: i) Compute the integral of f(x) = v2x from a = 0 to b = 10 with 5 sub-intervals using the following integral approximation methods: (i) Simpson, (ii) Trapezoidal, and (iii) Mid- ordinate rules. (Show the numerical solution using, hand-solution or MATLAB).

You work as a software engineer in a company that develops software for providing approximate numerical solutions to complex mathematical problems. Your manager asked you to develop two software products for (i) finding the roots of complex functions and (ii) performing complex integrations. Task 1: i) Compute the integral of f(x) = v2x from a = 0 to b = 10 with 5 sub-intervals using the following integral approximation methods: (i) Simpson, (ii) Trapezoidal, and (iii) Mid- ordinate rules. (Show the numerical solution using, hand-solution or MATLAB).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 81E
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You work as a software engineer in a company that develops software for providing approximate numerical solutions to complex mathematical problems. Your manager asked you to develop two software products for (i) finding the roots of complex functions and (ii) performing complex integrations. Task 1: Compute the integral of f(x) = v2x from a = 0 to b = 10 with 5 sub-intervals using the following integral approximation methods: (i) Simpson, (ii) Trapezoidal, and (iii) Mid- ordinate rules. (Show the numerical solution using, hand-solution or MATLAB). Compute the true value of the integral analytically. Based on the computed true value in the previous part, find the absolute relative true error for each method with different number of sub-intervals n starting from n=1 to n=20. i) ii) iii)
Transcribed Image Text:You work as a software engineer in a company that develops software for providing approximate numerical solutions to complex mathematical problems. Your manager asked you to develop two software products for (i) finding the roots of complex functions and (ii) performing complex integrations. Task 1: Compute the integral of f(x) = v2x from a = 0 to b = 10 with 5 sub-intervals using the following integral approximation methods: (i) Simpson, (ii) Trapezoidal, and (iii) Mid- ordinate rules. (Show the numerical solution using, hand-solution or MATLAB). Compute the true value of the integral analytically. Based on the computed true value in the previous part, find the absolute relative true error for each method with different number of sub-intervals n starting from n=1 to n=20. i) ii) iii)
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