The two curves `y=(x+3)/(x^2+1),y=(x^2-7x+11)/(x-1)` at (2, 1)

The two curves y=x^2+1,y=3x^2-4x+3 at (1,2)

The two curves y=x^-3,y=e^(3(1-x)) at (1,1)

Find the angle of intersection of curves y=x^(3) and 6y=7-x^(2) at point (1,1)

Angle of intersection of the curves y = x^(2) and 6y = 7- x^(3) at (1,1)

The area between the curves y=x^(2) and y=x^((1)/(3)) taking xi n[-1,1] is:

Prove that the curves y=x^(3)-3x^(2)-8x-4,y=3x^(2)+7x+4 touch each other and equation of the common tangent is x-y+1=0 .

The angle between the curves y^(2) =x and x^(2) = y at (1,1) is