a. Find the linear approximating polynomial for the following function centered at the given point a.b. Find the quadratic approximating polynomial for the following function centered at the given point a.c. Use the polynomials obtained in parts (a) and (b) to approximate the given quantity.f(x) = sinx, a = ; approximate sin (0.18)TU4a. p₁(x) =(Type an exact answer, using as needed.)b. p₂(x) =(Type an exact answer, using it as needed.)c. Using the linear approximating polynomial to estimate, sin (0.18) ~(Round to four decimal places as needed.)Using the quadratic approximating polynomial to estimate, sin (0.18) ~(Round to four decimal places as needed.)

Answered: Image /qna-images/answer/3f3cc77e-9625-4996-80c9-502b2e61abae.jpg

a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts (a) and (b) to approximate the given quantity. f(x) = sinx, a = JU 3 approximate sin (0.18)

a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts (a) and (b) to approximate the given quantity. f(x) = sinx, a = JU 3 approximate sin (0.18)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter15: Roots

Section: Chapter Questions

Problem 38A

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