As a farmer, Carter keeps a close eye on the weather. After a few stressful weeks with no rain, Carter was relieved when it started raining one morning. It rained
steadily all day, and Carter periodically checked to see how much rain had fallen.
There is a proportional relationship between the amount of time (in hours) it had
been raining, x, and the amount of rain (in inches) that had fallen, y.
After 4 hours, a total of 1 inch of rain had fallen. Write the equation for the relationship
between x and y.
y =

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)