Okay, let me state what i did in more detail:
A=(1/2)integral 64(cos^2(10theta)) d(theta)
=32 integral (1/2)(1+cos20theta) (theta)
=16[theta-(1/20)sin20theta]
did i do it correct so far?
then i just plug in my bounds which are pi/20 to 3pi/20 right?
now should i just multiply my...
Homework Statement
Find the area of the region bounded by r=8cos10\Theta
Homework Equations
The Attempt at a Solution
I set r=0 to find \Theta, which i used for my bounds
\Theta=pi/20, 3pi/20
A= \int(1/2)64cos^2(10\Theta) d\Theta
Homework Statement
A 12g CD with a radius of 7.0 cm rotates with an angular speed of 35 rad/s.
What is its kinetic energy?
Homework Equations
The Attempt at a Solution
I used K=(1/2)mv^2(1+I/mr^2)
v=\omegar=(35rad/s)(0.07m)=2.45m/s
K=(1/2)(0.012kg)(2.45m/s)^2(1)=0.36
And...
Homework Statement
Find the area of the region enclosed by the parametric equation
x=t^3-5t
y=7t^2
Homework Equations
The Attempt at a Solution
I know how you set it up \int (7t^2)(3t^2-5)dt, but how do you find the bounds. I tried finding t and got t= (+/-)\sqrt{y/7} and you...