Saturday

January 31, 2015

January 31, 2015

Posted by **Mike** on Monday, January 11, 2010 at 7:24pm.

a. Find the area of R.

b. Find the volume of the solid using vertical slices.

c. Find the first moment of area of R with respect to the y-axis. What do you notice about the integral?

d. Find the x coordinate of the centroid of R.

e. A theorem of Pappus states that the volume of a solid of revolution equals the area of the region being rotated times the distance the centroid of the region travels. Show that this problem confirms this theorem.

I was able to do part "a" as the integral from 0 to 2 of x^3 dx. Also I believe part "b" is pi*[3y^(5/3)/5] evaluated from 0 to 2

- Math -
**Writeacher**, Monday, January 11, 2010 at 7:26pmAssistance needed.

Please type your__subject__in the**School Subject**box. Any other words are likely to delay responses from a teacher who knows that subject well.

- Calculus Work -
**Mike**, Monday, January 11, 2010 at 7:28pmSubject added

**Answer this Question**

**Related Questions**

Calculus - *Note I reposted this question as I changed the subject** The Region...

Calculus - 1. Find the area of the region bounded by the curves and lines y=e^x ...

AP Calculus - Let R be the first quadrant region enclosed by the graph of y= 2e...

Calculus - Let R be the region bounded by the x-axis, x = 5 and the curve y = x...

Calculus Help!! - Region R is bounded by the functions f(x) = 2(x-4) + pi, g(x...

Calculus AP - Let R be the region in the first quadrant bounded by the graph y=3...

math - The region under the following curve is rotated about the x-axis. Find ...

Calculus - Let f be the function given by f(x)=(x^3)/4 - (x^2)/3 - x/2 + 3cosx. ...

calculus - Let R be the region in the first quadrant that is enclosed by the ...

calculus - 1. Let R be the region in the first quadrant enclosed by the graphs ...