Can I also get the work for this problem. In this problem we will first find an estimate to V1.5 using a Taylor polynomial P2(1.5) and then use the Remainder Estimation Theorem to approximate V1.5 - P2(1.5). This problem has parts (a)-(g).(a) What should f(x) and the center a be in order to compute a Taylor polynomial P,(x) at x = a?The function is f(x) =and the center is a =(b) Find the Taylor polynomial of order 2, i.e., P2(x), generated by the f(x) is part (a) at the center x= a from part (a).P2(x) =(c) Use P,(x) from part (b) to find an approximation to V1.5. (Your answer can be written as a sum of fractions.)1.5 =(d) Compute f (3)(x) and f (4) (x).f(3) (x) =|and f4(x) =(e) Which of the following is true?O A. f8t) <0 and f(4 (t) < 0 for asts1.5, so f ((x) is a negative, decreasing function on the interval [a, 1.5].O B. f(3) (t) > 0 and f (4) (t) < 0 for asts1.5, so f ((x) is a positive, decreasing function on the interval [a, 1.5].O C. f(3) (t) > 0 and f (4) (t) > 0 for asts1.5, so f ((x) is a positive, increasing function on the interval [a, 1.5].O D. f(3) (t) < 0 and f(4) (t) > 0 for asts 1.5, so f (3(x) is a negative, increasing function on the interval [a, 1.5).(f) Find smallest number M>0 that satisfies f (t) sM for all asts 1.5.M =since f(3 (t) will have an absolute maximum at t =in the interval [a, 1.5).(g) Fill in the blank. Using the value for M from part (f), the Remainder Estimation Theorem says that|1.5 - P,(1.5)| |R,(1.5)| 0.

Name: Can I also get the work for this problem. In this problem we will firs
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Can I also get the work for this problem. In this problem we will first find an estimate to V1.5 using a Taylor polynomial P2(1.5) and then use the Remainder Estimation Theorem to approximate V1.5 - P2(1.5). This problem has parts (a)-(g).(a) What sh