Prove that the area common to the two parabolas `y=2x^2\ a n d\ y=x^2+4\ i s(32)/3` sq. units.

The area common to the parabola y=2x^2 and y =x^2+4 is:

Find the area enclosed by the parabolas y=5x^2a n d\ y=2x^2+9.

Prove that the area bonded by the parabola y^2=5x+6 and x^2=y is 81/15 .

Find the area common to two parabolas x^2=4ay and y^2=4ax, using integration.

The area common to the parabolas y=2x^2 and y=x^2+4 (in square units) is (A) 2/3 (B) 3/2 (C) 32/3 (D) 3/32

Find the area included between the parabolas y^2=4a x\ a n d\ x^2=4b ydot

Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

Statement I- The area of region bounded parabola y^(2)=4x and x^(2)=4y " is " 32/3 sq units. Statement II- The area of region bounded by parabola y^(2)=4ax and x^(2)=4by " is " 16/3 ab .

If the area bounded by the parabola y=2-x^(2) and the line y=-x is (k)/(2) sq. units, then the value of 2k is equal to

Area common to the circle x^2+y^2=64 and the parabola y^2=4x is