any body help me to solve that questions. :confused:

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- Jul 18th 2006, 01:02 PMm777please solve these questions
any body help me to solve that questions. :confused:

- Jul 18th 2006, 02:33 PMgalactus
You can use disks or shells. One is easier than the other. I'd use disks.

Find the limits by equating the functions:

$\displaystyle y^{2}=y+12$

y=-3 and 4

$\displaystyle {\pi}\int_{-3}^{4}((y+12)^{2}-y^{4})dy$

Shells method is trickier.

$\displaystyle 2{\pi}\int_{0}^{9}x(2\sqrt{x})dx+2{\pi}\int_{9}^{1 6}x(\sqrt{x}-(x-12))dx$

I'll leave the actual integration to you. - Jul 19th 2006, 09:04 PMaziz101thanks,
Thanks for correcting me Galcutus. i would try myself next. !!

- Jul 20th 2006, 04:37 PMQuickQuote:

Originally Posted by**aziz101**