Question

calculus---- plane areas in polar coordinates:

Answer 1

Find the area in the first quadrant under the curve y^2 = x^2/ x-1 between the minimum ordinate and the line x=3

Answer 2

y= 3/2

Answer 3

intersection

Answer 4

\[\frac{ 1 }{ 2 }\int\limits_{\theta1}^{\theta2}f(\theta)^2 d \theta\]
This will help find the area once you find the endpoints and the function in polar.

Answer 5

Some other helpful equations: \[x=rcos (\theta), y=rsin(\theta)\]
The function f(x) can be converted to\[f(\theta)\]
from this.