Faraz R. answered • 03/03/16

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RANKED TOP 1% IN 2019 AP SAT SUBJECT TEST PREP MATH AND SCIENCE TUTOR.

a. derive it.

12(1-t/12)(-1/12= -(1-t/12).

So derivative is -(1-t/12) or -1+t/12 if you distribute the - sign. You can use either.

Set this equal to 0

0=-1+t/12

t=12.

Time for it to drain is 12 hours.

Part b. You should just be able to plug in 3.25 hours into the derivative and see what the change is with respect to time.

So -1+3.25/12=-.729meters

Part C plug into derivative. That should represent the change in the depth in 2 hours.

Part D. Plug both into derivative and see change in depth. Waste is draining faster at 30 minutes which is .5 hours than 2 hours.