Write an equation for the given function given the period, phase shift, and vertical shift. cotangent function, period

Find the value of the variable and the length of each secant segment.

Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

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)