Find the acute angle between the curves `y=|x^2-1|a n d` `y=|x^2-3|` at their points of intersection.

Find the area between the curves y=2x and y=x^2 .

Find the area between the curves y = x and y = x^(2) .

Find the angle of intersection of the curves y = 4-x^(2) and y=x^(2) .

Find the measure of the angle between the planes 2x-y+z=2 and x+y+2z=3

Find the slope of the tangent to the curve y=x^(3)-x at x = 2.

Find the slope of the tangent to the curve y=x^(3)-3x+2 at the point whose x - coordinate is 3.

Prove that the angle between the lines joining the origin to the points of intersection of the straight line y=3x+2 with the curve x^2+2x y+3y^2+4x+8y-11=0 is tan^(-1)((2sqrt(2))/3)

The equation of the tangents to the curve (1+x^(2))y=1 at the points of its intersection with the curve (x+1)y=1 , is given by

Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0) and (3,0) is