If Mrs. Ransoms calculated average speed at the 5 m marker is a m/s and 6 m/s at the 10 m marker, and it took 13 s to cover the distance, what is Mrs. Ransoms average acceleration?​

Let f(x) = x4- 8x2 . find the relativeextrema of this function using the second derivative test.

An insulated 40 ft^3 rigid tank contains air at 50 psia and 120°f. a valve connected to the tank is now opened, and air is allowed to escape until the pressure inside drops to 25 psia. the air temperature during this process is kept constant by an electric resistance heater placed in the tank. determine the electrical work done during this process.

The period of a pendulum varies directly as the square root of the length of the pendulum and inversely as the square root of the acceleration due to gravity. find the period when the length is 144 cm and the acceleration due to gravity is 980 cm per second squared, if the period is 7pi seconds when the length is 289 cm and the acceleration due to gravity is 980 cm per second squared.