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

Find the angle of intersection of the curves 2y^(2)=x^(3)andy^(2)=32x .

Find the coordinates of the point of inflection of the curve f(x) =e^(-x^(2))

Find the angle of intersection of the curves x y=a^2a n dx^2+y^2=2a^2

Find the angle of intersection of y=a^xa n dy=b^x

Find the angle of intersection of the curve y=sin x with the positive x-axis .

The angle of intersection between the curves x^(2) = 4(y +1) and x^(2) =-4 (y+1) is

Which of the following pairs of expression are defined for the same set of values of x ? f_1(x)=2(log)_2xa n df_2(x)=(log)_(10)x^2 f_1(x)=(log)_xx^2a n df_2(x)=2 f_1(x)=(log)_(10)(x-2)+(log)_(10)(x-3)a n df_(2(x))=(log)_(10)(x-2)(x-3)dot

Find the domain of the function : f(x)=sin^(-1)((log)_2x)

Find the asymptotes of the following curves: f(x) = (x^(2))/(x+1)

Find the interval of the monotonicity of the function f(x)= log_(e)((log_(e)x)/(x))