Consider the error in using the approximation e−x≈1−x on the interval [−1,1]. (a) reasoning informally, on what interval is this approximation an overestimate? 1 an underestimate? (for each, give your answer as an interval or list of intervals, e. g., to specify the intervals −0.25≤x< 0.5 and 0.75

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.

The area of the map is the product of the length and width. write and expression for the area as the product of the two binomials do not multiply