this is actually something that my professor decided not to cover (it's not specifically on the department requirements.) the text has a formula for working these types of problems.
thanks for the help
this is actually something that my professor decided not to cover (it's not specifically on the department requirements.) the text has a formula for working these types of problems.
thanks for the help
I can't understand what you have written. You say "the exact area of the surface obtained by rotating the given curve around the x-axis." But give two functions- each is given as a function of "t" but you have "[itex]\theta[/itex]" in the formulas.
Hey bkbowser.
Just to clear things up, is the t meant to be theta and is the a meant to be the radius r?
If you want to get this in the form of pi*f(x)^2*dx, then you will need to use a Jacobian transformation to go from (r,theta) space to (x,y) space.
Are you trying to the difference in volume where you rotate two functions to obtain the volume in-between those objects (as you said, a 'washer' problem)?
Please give us the equations in terms of either (r,theta) or (x,y) only as to avoid confusion.