Given f(x) = cos(x), the Taylor approximation for f(x) for x near 0 can be found...
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Given f(x) = cos(x), the Taylor approximation for f(x) for x near 0 can be found as x 2k for N≥0. Px (x) = (-1)^ k(2k)! 1) Write a MATLAB function that takes in a vector x and an integer N, then computes Py (x). 2) Write a MATLAB for-loop program that uses the subplot command to plot both f(x) and P(x) for N = 0,..., 5 and x = [-7, 7]. (use 3 rows and 2 columns). Be sure to use xlabel, ylabel, title, and legend. Include the label P(x) on each subplot, e.g. P₂(x)=1-- + x xª - appears in the title. [must do 2! 4! this in a loop!!] Given f(x) = cos(x), the Taylor approximation for f(x) for x near 0 can be found as x 2k for N≥0. Px (x) = (-1)^ k(2k)! 1) Write a MATLAB function that takes in a vector x and an integer N, then computes Py (x). 2) Write a MATLAB for-loop program that uses the subplot command to plot both f(x) and P(x) for N = 0,..., 5 and x = [-7, 7]. (use 3 rows and 2 columns). Be sure to use xlabel, ylabel, title, and legend. Include the label P(x) on each subplot, e.g. P₂(x)=1-- + x xª - appears in the title. [must do 2! 4! this in a loop!!]
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Related Book For
Numerical Methods With Chemical Engineering Applications
ISBN: 9781107135116
1st Edition
Authors: Kevin D. Dorfman, Prodromos Daoutidis
Posted Date:
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