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Mathematics 14 Online
OpenStudy (luigi0210):

Integral help:

OpenStudy (luigi0210):

http://prntscr.com/3f18sv

OpenStudy (anonymous):

\(f(x)=\sqrt{x}\) is strictly increasing right?

OpenStudy (luigi0210):

Right.

OpenStudy (anonymous):

so on the interval \([4,16]\) what is its minimum value?

OpenStudy (luigi0210):

10?

OpenStudy (anonymous):

??

OpenStudy (anonymous):

it is increasing the minimum is at the left endpoint, the maximum at the right

OpenStudy (anonymous):

oooh i see you were including the 5, i was ignoring it yes, 10 is right, i mentally pulled the 5 out of the integral but if you mean the min of \(5\sqrt{x}\) then 10 is right

OpenStudy (anonymous):

similarly the max will be \(20\) use those numbers i forgot the 5, sorry

OpenStudy (luigi0210):

I tried both, didn't accept either.

OpenStudy (anonymous):

\[\int_4^{16} 5dx=12\times 5=60\] for the left

OpenStudy (anonymous):

the right is \(12\times 20\)

OpenStudy (luigi0210):

Oh, I see, thank you :)

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