Application of Integrals

Let R denote the set of all real numbers. Then the area of the region \(x,y) R R:x>0, y> 1x, 5x-4y-1>0, 4x+4y-17<0 \ is

1. 1716- e 4
2. 338- e 4
3. 578- e 4
4. 172- e 4

Let S= \(x,y) R R: x 0, y 0, y2 4x, y2 12-2x and 3y+ 8 x 5 8 \. If the area of the region S is 2, then is equal to

1. 172
2. 173
3. 174
4. 175