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) = sin x, a = 7: approximate sin (0.32x) a. p1 (x) = O (Type an exact answer, using t as needed.) b. P2(x) = | (Type an exact answer, using t as needed.) c. Using the linear approximating polynomial to estimate, sin (0.32m) × (Round to four decimal places as needed.) Using the quadratic approximating polynomial to estimate, sin (0.32x) ×. (Round to four decimal places as needed.)

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