A line segment with endpoints A = (3, 0) and B = (7,0). Then, plot all points C = (x, y) such that the triangle ABC has an area of 12 square units.
What geometric formula and theorem are needed to solve this problem?

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)