Solve the below:
Q: A student decided to depart from Earth after his graduation to find work on Mars. Before building a shuttle, he conducted careful calculations. A model for the velocity of the shuttle, from liftoff at t = 0 s until the solid rocket boosters were jettisoned at t = 60.7 s, is given by
v(t)=0.001549667t3-0.08392t2+20t-13.2
(in feet per second). Using this model, estimate
the absolute maximum value and absolute minimum value of the ACCELERATION of the shuttle between liftoff and the jettisoning of the boosters.
Water is leaking out of an inverted conical tank at a rate of cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height meters and the diameter at the top is meters. If the water level is rising at a rate of centimeters per minute when the height of the water is meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.