Friday

September 19, 2014

September 19, 2014

Posted by **Anonymous** on Wednesday, December 12, 2012 at 4:35am.

Find the volume of the solid obtained by rotating y=3+2x-x^2, x+y=3 about the y-axis.

- Math Calculus 1 -
**Steve**, Wednesday, December 12, 2012 at 5:23ambetter integrate on x, since doing discs on y will need to separate the region into two pieces. So, using shells,

v = ∫[0,3] 2πrh dx

where r = x and h = (3+2x-x^2) - (3-x)

v = 2π∫[0,3] x((3+2x-x^2) - (3-x)) dx

= 2π∫[0,3] 3x^2-x^3 dx

= 2π(x^3 - x^4/4) [0,3]

= 27/2 π

- Math Calculus 1 -
**Anonymous**, Wednesday, December 12, 2012 at 5:50amThank you!!!

- Math Calculus 1 -
**Anonymous**, Wednesday, December 12, 2012 at 6:03amIf you would check my last 2 questions. I am just completely stumped.

display.cgi?id=1355309562

display.cgi?id=1355309813

**Answer this Question**

**Related Questions**

Calculus I don't understand - Find the volume of the solid obtained by rotating ...

Calculus - 1. Find the volume formed by rotating the region enclosed by x=5y and...

Calculus - a) Find the volume formed by rotating the region enclosed by x = 6y ...

calculus edit - 1. Find the volume formed by rotating the region enclosed by x=...

Calculus volume stuff - Find the volume of the solid obtained by rotating the ...

CALCULUS MAJOR HELP!!!!!! - Find the volume of the solid obtained by rotating ...

Calculus [Finding volume of solid] - Find the volume of the solid obtained by ...

calculus - Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find ...

calculus - Consider the solid obtained by rotating the region bounded by the ...

Calculus - This problem set is ridiculously hard. I know how to find the volume ...