Consider the following function for 2-vector x = (x,x)“. Bold letter indicates vector f(x) = f(x ,.x) = x;'-xx;. a. Write the code to draw a 3D plot for the function f(x) in MATLAB for x, = 1:500 and x, = 1:500. So the plot will have 3 axis: x, x, and f(x) in first subplot b. Now the taylor first order approximation of f(x) is: f_ hat(x) = 3x1 - 2x2. Write the code to 3D plot the function f_hat(x) for x, subplot 1:500 and x, = 1:500 in 2nd

C++ for Engineers and Scientists
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ISBN:9781133187844
Author:Bronson, Gary J.
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Chapter13: Structures
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sole using numpy python

1. Consider the following function for 2-vector x = (x1.x)" Bold letter indicates vector
f(x) = f(x1„x) = x}²-x,x³.
a. Write the code to draw a 3D plot for the function f(x) in MATLAB for x, = 1:500
and x, = 1:500. So the plot will have 3 axis: x, x, and f(x) in first subplot
b. Now the taylor first order approximation of f(x) is: f_hat(x) = 3x1 - 2x,. Write the
code to 3D plot the function f_hat(x) for x, = 1:500 and x, = 1:500 in 2nd
subplot
c. Calculate rmse between f(x) and f_hat (x) for x,
cannot use any built in functions except sqrt()
1:500 and x, = 1:500. You
%3D
Transcribed Image Text:1. Consider the following function for 2-vector x = (x1.x)" Bold letter indicates vector f(x) = f(x1„x) = x}²-x,x³. a. Write the code to draw a 3D plot for the function f(x) in MATLAB for x, = 1:500 and x, = 1:500. So the plot will have 3 axis: x, x, and f(x) in first subplot b. Now the taylor first order approximation of f(x) is: f_hat(x) = 3x1 - 2x,. Write the code to 3D plot the function f_hat(x) for x, = 1:500 and x, = 1:500 in 2nd subplot c. Calculate rmse between f(x) and f_hat (x) for x, cannot use any built in functions except sqrt() 1:500 and x, = 1:500. You %3D
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ISBN:
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