Using MATLAB

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x1 x3 x5 x? 1+31 +51 + 1 + ... (inifinite terms) describes the hyperbolic sine or sinh function. Write a MATLAB script (M file) to compute an approximation to this function by truncating the sum after a finite number of terms, i.e. x1 x3 x5 x? sinh2(x,n) = utat att.. n terms). In order to do this, complete the following steps in an M file named hypersine.m (a) Read/Input n (the number of terms in the sum approximation) and x (the function argument) from the user. Make sure you let the user know clearly what to input and display the inputted values. (b) Create a vector On which contains the first n odd integers, i.e. 1,3,5 .. (n terms) (c) Using On, create a vector Xn which contains the terms x, x', X... (n such terms). (d) Using On, create a vector in which contains the factorials of first n odd integers. Thus the terms in the Fn vector should be 1!, 3!, 5! ... and so on up to n terms. (e) Using Fn and Xn, create vector Zn which contains n terms x/1!, x/3!, x/5! ..... (f) Sum the terms in Zn to compute the value of sinh2(x,n). (g) Compare the result to the actual value of sinh(x), which can be estimated using an in- built MATLAB function. Indicate the error as a fraction of the actual value. Once you've created the M file, open a new live script and write in the following commands before executing (run all) the live script and saving to PDF. During execution, enter n = 6 and x=4. Make sure all vectors On, Xn, Fn, Zn and values in (f) and (g) are displayed during execution. Upload PDF to WTClass Exam. %NAME, PROBLEM, DATE type hypersine.m hypersine