Let p, denote the vector space of all polynomials with degree less than or equal to 2. (a) show that b = {1+1+,1 + 2.c - 22,1 - 2x - 2} is a basis for p2. (b) find the coordinate vector of p() = 1 + 2x + 3.rº relative to the basis b.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)