Find the value of the expression `y^3((d^2y)/(dx^2))` on the ellipse `3x^2+4y^2=12`

Find the least value of the expression x^(2) + 4y^(2) + 3z^(2) - 2x - 12y -6z + 14

If y=log[x+(1+x^(2))^(12)] the value of the expression ((x^(2)+1)d^(2)y)/(dx)+(xdy)/(dx) is-

Find the equation of the tangents to the ellipse 3x ^2 + 4y ^2 = 12 which are perpendicular to the line 2x +y - 4 = 0.

Find the area enclosed by the parbola 4y=3x^(2) and the line 2y = 3x + 12 .

Find the area enclosed by the parabola 4y = 3x^2 and the line 2y = 3x +12 .

Find the area enclosed by the parabola 4y = 3x^2 and the line 2y = 3x+12

Find the area enclosed by the parabola 4y=3x^(2) and the line 2y=3x+12

Find the equations of the tangents to the ellipse 3x^(2)+4y^(2)=12 which are perpendicular to the line y+2x=4 .

Find the equations of the tangents to the ellipse 3x^(2)+4y^(2)=12 which are perpendicular to the line y+2x=4 .