36. The area ( in sq. units ) of the region { ( x, y ) : x ≥ 0 , x + y ≤ 3 , x2 ≤ 4y and y ≤ 1 + x } is : (1) 59 / 12 (2) 3 / 2 (3) 7 / 3 (4) 5 / 2

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{(x, y) : x \geq 0, x + y \leq 3, x^{2} \leq 4 y and y \leq 1 + \sqrt{x}}

{(x, y) : x \geq 0, x + y \leq 3, x^{2} \leq 4 y

y \leq 1 + \sqrt{x}}

{(x, y) : x \geq 0, x + y \leq 3, x^{2} \leq 4 y

y \leq 1 + \sqrt{x}}

y = x^{2} + 2

y = x + 1, x = 0

x = 3,

A = {(x, y) : 0 \leq y \leq x | x | + 1 and - 1 \leq x \leq 1}

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