Audrey O.

asked • 03/28/21

AP CALC AB: Interpretations & Applications of the Derivative & Definite Integral

How would you solve for a) & b) with a calculator?

I have a TI-89 Titanium.

At time t=0, a tank contains 38 gallons of water. Beginning at t=0, water flows into the tank at a rate of

E(t) = 12tsin(π/4t) gallons per minute, and water leaks out of the tank at a rate of L(t) = 6t2/ (t+2) gallons per minute.

a) How many gallons of water are in the tank at time t = 2 minutes?

b) What is the rate of change in the volume of water in the tank at t = 2 minutes? (Include appropriate units)

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