The area (in sq. units) of the region x ,   y :   x ≥ 0 ,   x + y ≤ 3 ,   x 2 ≤ 4 y   a n d   y ≤ 1 + x is

Question

The area (in sq. units) of the region x , &#160; y : &#160; x &#8805; 0 , &#160; x + y &#8804; 3 , &#160; x 2 &#8804; 4 y &#160; a n d &#160; y &#8804; 1 + x is

Aicharya · Accepted Answer

Required Area = &#8747; 0 1 1 + x d x + &#8747; 1 2 3 - x d x - &#8747; 0 2 x 2 4 d x = x + 2 3 x 3 2 0 1 + 3 x - x 2 2 1 2 - x 3 12 0 2 = 1 + 2 3 + 4 - 5 2 - 2 3 = 5 2 &#160; sq . &#160; units

The area (in sq. units) of the region x ,   y :   x ≥ 0 ,   x + y ≤ 3 ,   x…

Solution

The area (in sq. units) of the region x , &#160; y : &#160; x &#8805; 0 , &#160; x + y &#8804; 3 , &#160; x…

Solution

The area (in sq. units) of the region x , y : x ≥ 0 , x + y ≤ 3 , x…