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the Chebyshev polynomial of the second kind is defined as un(x) =sin(nsin^-1(x)) write a user defined matlab 20 points): The Chebyshev polynomial of the second

the Chebyshev polynomial of the second kind is defined as un(x) =sin(nsin^-1(x)) write a user defined matlab
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20 points): The Chebyshev polynomial of the second kind is defined as ,()-sinsin(x) (a) Write a user-defined MATLAB function that computes Un (x). For the function name and arguments use p chebysheV2 (n, x) where n is the degree of the Chebyshev polynomial, x is the vector of x values, and the output argument p is a vector containg the values of U,(x) for the specified values of x. b) Write a program in a MATLAB script file that uses the chebyshev2 function to generate plots of U2 (x), U3(x), and U, (x) for values of x from x-0 to x = 1 in steps of 0.01 . Plot each polynomial on a separate graph in the same window. Plot U2(x) with a dashed black line, U,(x) with a dotted hlack line and U.x) with a dashed black line. Use a grid and label the axes

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