Apentix/AP Calculus AB/Unit 8: Applications of Integration/Question

AP Calculus ABeasymcq1 pt

Water flows into a tank at a rate of $r(t)=4t$ gallons per minute. How much water flows into the tank during the first 5 minutes?

A.

100

gallons

B.

20

gallons

C.

50

gallons

D.

10

gallons

Explanation

Core Concept

The amount is the accumulation $\int_0^5 4t\,dt=[2t^2]_0^5=50$ gallons.

Correct Answer

C $50$ gallons

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