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Mathematics 24 Online
OpenStudy (nathanjhw):

The function f(t) is graphed below:

OpenStudy (nathanjhw):

OpenStudy (nathanjhw):

OpenStudy (nathanjhw):

Which of the following are true? l. Shown below ll.h'(x) has a relative maximum at x = 2. III. h(x) has a relative maximum at x = 5.

OpenStudy (nathanjhw):

@shawmoes

OpenStudy (nathanjhw):

@iGreen

OpenStudy (nathanjhw):

I think it might be lll. only but I'm not sure.

OpenStudy (anonymous):

If h(x) = \[\int\limits_{0}^{x} f(x) dt\] then h'(x) = f(x).

OpenStudy (anonymous):

So just looking at your graph, the first choice is not true, since h'(3)=f(3) < 0

OpenStudy (nathanjhw):

@shawmoes

OpenStudy (anonymous):

III seems to be correct.

OpenStudy (nathanjhw):

Alright thank you!

OpenStudy (nathanjhw):

I also have one more question. I think I have the answer, but my teacher said it was a tricky question so I'm not 100% sure. Do you mind if I ask you?

OpenStudy (nathanjhw):

@shawmoes

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