Question: Please help with this program This is all one question and has to be done in Matlab so please do not submit a handwritten script

Please help with this program

This is all one question and has to be done in Matlab so please do not submit a handwritten script or steps to solve by hand.

Please include the script coded in Matlab.

Part "a." must have an fprintf statement in it. And I cannot use "taylor" or "sym" built-in tools Please help with this program This is all one question and has

Taylor Series Given the function f(x)=5x43x7 and the point f(1)=5 a) Use the Taylor series to compute the 2nd order approximation, fa(x). Display this approximation with the following format: \[ \text { f_a }(\mathrm{x})=\mathrm{X} . \mathrm{XXXXx^{ \wedge } 2}+\mathrm{X} \text {. XXXXX }+\mathrm{X} \text {. XXXX } \] b) Estimate the value of the function f(2.5) by calculating the value of fa(2.5). Display your answer and the exact value. Your output should look like this: The exact value of f(2.5) is xx.xxxx The estimated value, f_a (2.5), is xx.xxxx c) In text answer: "Is this a reasonable approximation? Why or why not"? d) (Extra credit) Plot the function, the given point, the estimated function, the estimated value at the specified point, and the exact value at the specified point

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