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OpenStudy (anonymous):
Evaluate the definite integral:
4~1 5(sqrtx)dx
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OpenStudy (anonymous):
i like how i just asked the question and you already got a medal for saying f5 haha
OpenStudy (amistre64):
:)
OpenStudy (amistre64):
that notation would equate to an interval of [1,4] right?
OpenStudy (amistre64):
5 x^(1/2+2/2) 2.5.sqrt(x^3)
------------- = ------------ correct?
1/2 + 2/2 3
OpenStudy (anonymous):
\[\int\limits_{1}^{4}\]
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OpenStudy (amistre64):
2.5.sqrt(x^3)
------------ ; x = 4 = 10.4.2/3 = 80/3
3
OpenStudy (amistre64):
10.xsqrt(x)
---------- ; x=1 = 10/3
3
80-10
----- = 70/3 if i dint mess up lol
3
OpenStudy (anonymous):
lol you probably didn't, it was one of the answer choices =)
OpenStudy (anonymous):
what is f' of sin30degrees?, if that question makes sense
OpenStudy (amistre64):
f(x) = sin(30) you say? and find the derivative?
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OpenStudy (amistre64):
sin(30) is a constant, so the derivative of a constant is 0
OpenStudy (amistre64):
by definition, constant remain unchanging ;) therefore their rate of change with respect to anything is 0
OpenStudy (anonymous):
Use differentials to estimate the value indicated. sin 27degrees
i was trying to work it out and got 1/2 = f'(sin30degrees)*3degrees
OpenStudy (anonymous):
1/2+ ***
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