Calculus III

Take$-$home lab for section $12\mathrm{.}5$

Name:

Due Date: Thursday, April $19$th

INSTRUCTIONS: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given density function $(x,y).$ Let $D$ be the bounded region of the graphs where the lamina shs: $k$ is a constant. Set up your iterated integrals and compute them by hand. If you can't compute them by hand, you may get partial credit using Maple. Show your work!!!

$D$ is bounded by $x^2+y^2=25,0x,0y.,(x,y)=kx,$ Hint: You may need to $u$ se a trig identity.

$D$ is bounded by $xy=4,x=1,x=4,y=0.(x,y)=k(x+y)$

$D$ is bounded by $y=9-x^2,y=0.(x,y)=ky$