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haha... that looks like a sample AP exam question...

the test is this Wednesday?

Haha yes.

Look at other intervals and ask yourself where the partical is at those times.

Wait is it 22 because the largest area is 20 and adding the initial 2 gives 22 as the answer?

So I just find the largest value where the derivative is 0 and add the initial value on, right?

|dw:1336438693557:dw|

Notice the points that I checked f at. The endpoints, and every point where f'=0.

So, just 20+2?

Right.

Thank you!