Consider the region R living in the first quadrant bounded by the curves 3:332 2 8, my2 2 1, 3:23; 2 8, and $23; = 1. Below is a picture of all 4 curves {or at least the relevant pa rts]. The red curve (on the top] is 333,3 = 8. the green curve {on the bottom) is 1133? = 1.the blue curve {on the right) 11323; = 8 and the purple curve [on the left} is $23; = 1. Use the change of variable u Vv c = 2 y = 2- V u to a) find the area of the region R; and b) compute the integral x dA. R4+ 34 2+ 0 N+ cot oit