2) Let R be the region bounded by the curves y = 2x-15 and x= y' in the xy-plane. . Sketch the region R. Sketch a sample Riemann rectangular slice in R to guide your solution process. . Determine and Label all point of intersection of the two curves with their corresponding ordered-pair. Set up a single integral to determine the area of that region. Finally, evaluate the integral to determine the area of the region. (NOTE: This process should be done every time!) 8= 221-15 and 21 = 42 straightline parabola yz 2X- y 4= 242-15 A y- - y - 1520 2 42- by +54 - 15zo 2 4 ( y - 3 ) + 5 (y - 3) = 0 4 = 3, - 5 when y = 3, 2 = q A (9 , 3 ) y = - 5, x225 13-(25), -5) Area~ ~Yy x = 4 2 2 ) sadx + J sz - A( ACE ) + A BC D 25 2 2+ 1 3 2 = 2/ ( 9 - 15 , # 3 1 ( 15 ) -(4) ( ) 3/ 2 125 - 2 2 2 x 2 x ( Zy 2 + 2 ( 9)2 ( 28 )' 312 7 - 3 ( 3 ) + 2 (8 ) = 125 + 2 ( 27-125 ) - 9+25 - 125 + 2 T2 (9! )- 9 + 25 2 125 + 91 -. TZ 32 2 20- 83+ 7. 58- 2-85+0-78 2 26 - 94 Simplified Single integral 25 9 Area