Find the cosine of the angle of intersection of curves `f(x)=2^x(log)_e xa n dg(x)=x^(2x)-1.`

Cosine of the angle of intersection of curves y = 3^(x-1) logx and y= x^(x)-1 at (1,0) is

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

Find the angle of intersection of curve x^2+y^2=2x and y^2=x

Find the angle of intersection of curve x^2+y^2-4x-1=0 and x^2+y^2-2y-9=0

Find the number of points of intersection (i) e^(x)=x^(2),(2)log_(e)x=-x

Find the number of points of intersection (i) e^(x)=x^(2) (ii) log_(e)x=x

Find the area of the region enclosed by the curves y=x log x and y=2x-2x^(2).

The cosine of the angle between the curves y=3^(x-1)ln x and y=x^(x)-1 at their point of intersection on the line y=0, is

Cosine of the acute angle between the curve y=3^(x-1)log_(e)x and y=x^(x)-1 , at the point of intersection (1,0) is

The cosine of the acute angle between the curves y=|x^(2)-1| and y=|x^(2)-3| at their points of intersection is