Find the eccentricities and foci of the following ellipse:`x^2+2y^2=2`.

Find the eccentricities and foci of the following ellipse: 9x^2+25y^2=225 .

Find the eccentricities and foci of the following ellipse: 3x^2+4y^2=48 .

What is the eccentricity of the following ellipse? 2x^2+5y^2=20 .

Factorise the following : x^2 - y^2

Find the derivative of the following functions: y = sqrt(x^2 + a^2) .

Identify the terms, their coefficients for each of the following expressions. 4x^2y^2 - 4x^2y^2z^2

Find the equation of the directrices of the ellipse x^2/25+y^2/9=1 .

Find the eccentricity,coordinates of foci,length of the major axis and latus-rectum of the ellipse x^2/25+y^2/16=1 .

Find the derivative of the following functions: y =sqrt((1+x^2))/x .

Find the coordinates of vertices,the foci,the eccentricity and the equations of the directrix of the following hyperbola. 16x^2-9y^2=576 .