I will copy down the whole problem.
Part of the design of a stained glass window is shown. The two loops enclose an area of blue glass. The remaining area within the rectangle ABCD is red glass.
*Imagine the rectangle ABCD is tangential....
*another small thing, this graph is supposed to have a shaded region. I dont know which region is shaded. Sorry.
The loops are described by the curve with the parametric equations:
x = 3 cos t ; y = 9 sin 2t ; 0 =< t < 2(pie)
a. Find the cartesian equation of the curve in the form y^2 = f(x). [could do this]
b. Show that the shaded area enclosed bu the curve and the x-axis, is given by
Code:
/ (pie)/2
| A sin (2t) sint dt
/ 0
*here is my problem
I find that A = -27, but the books says that its +27. Common sense tells me A cannot be -27, cause that way the area will be negative. That aside, mathematically its negative according to me. Where did i go wrong?