Please see attached.

http://img225.imageshack.us/img225/1945/approb3ng.jpg

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- March 8th 2006, 02:54 PMfrozenflamesCalculus Problem
Please see attached.

http://img225.imageshack.us/img225/1945/approb3ng.jpg - March 9th 2006, 05:21 AMCaptainBlack
a)

- March 9th 2006, 05:26 AMCaptainBlack
b)

Form the fundamental theorem of calculus:

,

so:

.

RonL - March 9th 2006, 05:33 AMCaptainBlack
c)

is increasing from at untill from where it

decreases to at .

Hence the mininmum of is which occures when

RonL - March 9th 2006, 06:21 AMCaptainBlack
d)

x=1 is the only point of inflection the second derivative is positive to the

left of the point and negative to the right. At no other point is there a

change of sign of the second derivative and so there are no other points

of inflection.

RonL