Question

A thin plate has the form of the intersection of the regions limited by x^2/9 + y^2/4 = 1 and x^2/4 + y^2/9 = 1 Which is the plate's mass if his density is δ(x, y) = |x|

Answer 1

The mass of the plate, M, is given by:\[M=\int\limits_{}^{}\int\limits_{R}^{}\delta(x,y)dA\]where R is the regions of intersection of the ellipses x^2/9 + y^2/4 = 1 and x^2/4 + y^2/9 = 1. The shaded region is the thin plate, R. Now we need to set up the bounds of the integral. There are a number of ways to do this, let me know what you have so far.