An arched window with base width 2b and height h is set into a wall. The arch

is to be either an arc of a parabola or a half-cycle of a cosine curve.

a. If the arch is an arc of a parabola, write an equation for the parabola

relative to the coordinate system shown in the figure. (x-intercepts are

(−b,0) and (b,0). y-intercept is (0,h).)

b. If the arch is a half-cycle of a cosine curve, write an equation for the

cosine curve relative to the coordinate system shown in the figure.

c. Of these two window designs, which has the greater area? Justify your

answer.

a.) I got y=-x^2+b^2?

b.) I know that it might be something like cos(pi*bx/2) possibly?

c.) I'm clueless how to do this one. Do i take the integral of each equation?