A water tank contains exactly 1,000 gallons. A pump fills the remainder of the tank using a logistic function. If the volume of the tank is 15,000 gallons and the pump fills the tank at a rate of 10.4% per minute, explain how to find the value of for the logistic function that describes this scenario.

If 1 is divided by the sum of y& 4. the result is equal to 3 divided by 4 .find the value of m?

Plot the points (0,6), (3,15.8), and (9.5,0) using the graphing tool, and find the function

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)