If `(x^2)/4+(y^2)/9=1,` then find the range of `2x+ydot`

If x^2+y^2=x^2y^2 then find the range of (5x+12 y+7x y)/(x y) .

If (x^(2))/(144)-(y^(2))/(25)=1 . Find the range of (144)/(x)+(25)/(y) .

Find the range of cot^(-1)(2x-x^2)

Find the range of f(x)=cos^2x+sec^2x .

Find the range of f(x)=sin^2x-sinx+1.

If f(x , y) satisfies the equation 1+4x-x^2=sqrt(9sec^2y+4cos e c^2y) then find the value of xa n dtan^2ydot

In A B C Prove that cos^2A/2+cos^2B/2+cos^2C/2lt=9/4dot In cos^2A/2+cos^2B/2+cos^2C/2=y(x^2+1/(x^2)) then find the maximum value of ydot

Find the range of f(x)=(x^2+1)/(x^2+2)

If R={(x,y): x,y in W, x ^(2)+y^(2)=25} , then find the domain and range or R.

If x ,y in R , satisfies the equation ((x-4)^2)/4+(y^2)/9=1 , then the difference between the largest and the smallest valus of the expression (x^2)/4+(y^2)/9 is_____