SOLUTION: 1.1.1 make a neat sketch of the graph y=cos2x and show the representative step/element that you will use to calculate the volume of the solid generated when the area bounded by the

Algebra ->  Volume -> SOLUTION: 1.1.1 make a neat sketch of the graph y=cos2x and show the representative step/element that you will use to calculate the volume of the solid generated when the area bounded by the      Log On


   

Question 1099224: 1.1.1 make a neat sketch of the graph y=cos2x and show the representative step/element that you will use to calculate the volume of the solid generated when the area bounded by the curve,the lines x=0, x=3.142/4 and y=0 rotates about the x-axis.
calculate the volume described in question 1.1.1
calculate the moment of inertia of the solid described in 1.1.1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
.
.
.
.
V=int%28pi%2Ay%5E2%2C+dx%2Cx=0%2Cpi%2F4%29
V=pi%2Aint%28cos%282x%29%2Cdx%2Cx=0%2Cpi%2F4%29
V=pi%2Asin%28x%29cos%28x%29%2BC
V=pi%2F2
.
.
.
I%5Bx%5D=int%28rho%2Ax%5E2%2Acos%282x%29%2C+dx%2Cx=0%2Cpi%2F4%29
I%5Bx%5D=rho%2Aint%28x%5E2%2Acos%282x%29%2C+dx%2Cx=0%2Cpi%2F4%29
I%5Bx%5D=rho%2A%28%282x%5E2-1%29sin%282x%29%2B2xcos%282x%29%29%2F4%2BC
I%5Bx%5D=%28rho%2F32%29%28pi%5E2-8%29