= 0.) Express the function as the sum of a power series by first using partial fractions. (Give your power series representation centered at x = f(x) = n = 0 2x8 f(x) = 2 x² + 8x + 7 Find the interval of convergence. (Enter your answer using interval notation.)

Solve for x: z=x.

An individual is given a dose of Q units of a certain drug. the amount that remains in the bloodstream at the end of t minutes and Qe−ct, with c > 0. Suppose that the same dose is administered at successive intervals of T minutes. (a) Using series, express the amount A(k) of the drug in the bloodstream immediately after the K-th dose.(b) Find an upper bound for the amount of drug in the bloodstream after an arbitrary number of doses.(c) Find the shortest time between doses that ensures that A(k) does not exceed a certain level M, M > Q.

Expand the function in a power series anx" with center c = 0. Find anx". 8+7x n=0 (Express numbers in exact form. Use symbolic notation and fractions where needed. For alternating series, include a factor of the form (-1)" in your answer.) anx" %3D 8 Incorrect