Find the Taylor polynomial T,(x) and use the Error Bound to find the maximum possible size of the error. f(x) = r"/2, a = 1, x = 1.3 (Use symbolic notation and fractions where needed.) T,(r) = (Round your answer to three decimal places.) \f(1.3) – TĄ(1.3)| < x10 3

Compute each of the following for the polynomial f(x)=−7x^8+7x^5+7x^3−6x. (a) f′(x)=(b) f′′(x)=(c) f′(4)=

R(x) = 7/x^2-16 If needed, write this given function as a single rational expression. Aftrr, factor the numerator and denomonator of R(x)

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) = 8x³/2, a = 1; approximate 8(1.73/2) a. p₁(x) = b. p₂(x) = c. Using the linear approximating polynomial to estimate, 8 (1.73/2) is approximately (Simplify your answer.) Using the quadratic approximating polynomial to estimate, 8(1.73/2) is approximately. (Simplify your answer.)

Describe the effect of multiplying VI by -1 as in f (x) = -/I.

attached.