91Ó°ÊÓ

Overlapping cardioids Find the area of the region common to the interiors of the cardioids \(r=1+\cos \theta\) and \(r=1-\cos \theta.\)

Finding an upper limit of an iterated integral Solve for \(a :\) $$ \int_{0}^{1} \int_{0}^{4-a-x^{2}} \int_{a}^{4-x^{2}-y} d z d y d x=\frac{4}{15} $$