Thursday
April 24, 2014

Homework Help: calculus

Posted by Mike on Monday, May 2, 2011 at 11:34pm.

The graph of f'(x) is shown for 0=< x =<10. The areas of the regions between the graph of f' and the x-axis are 20, 6, and 4, respectively.

I'm going to describe the graph of f' since I can't post pictures. The first section of the graph goes up (like the sin function) and the area underneath it is 20. Then, it decreases below the x-axis and increases above the x-axis, and the area underneath it is 6. The graph then increases and decreases onto the x-axis, and the area underneath it is 4.

What is the maximum value of f on the closed interval [0,10] of f(0) = 2?
The answer is 22, but I don't know how to get it.

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