The area of the region bounded by the parabola $y^2 = x$ and the straight line $2y = x$ is

The line $y = x$, partition the area of the circle $(x-1)^2 + y^2 = 1$, into two segments. The area of the major segment is

The area of the region bounded by the curves $x^2=4y$ and $x=4y$ is

Area bounded by the curves $y=x^3$, $y=x+6$ and $x=0$ is

If under pure competition demand and supply functions are given by $p = \sqrt{10 - x}$ and $p = \frac{1}{2}(x-2)$ respectively, where $p$ is price per unit and $x$ is quantity, then the consumer surplus is:

The marginal cost of production of x units of a commodity is $56 + \frac{3}{2}x$. It is known that fixed costs are Rs.115. Then the total cost of producing 50 units is:-

Area of the region bounded by the curve $y^2 = 4x$, $y$-axis and the line $y = 3$ is equal to