" (v) "3y^(2)+5y-2

Find the values of m for which the expression 2x^(2)+mxy +3y^(2) -5y-2 can be resolved into two rational linear factors.

The value(s) of m for which the expression 2x^(2)+mxy+3y^(2)-5y-2 can be factorized in to two linear factors are:

Find dy/dx given that y^(3)+y^(2)-5y-x^(2)=-4.

If g(x,y) = 3x^(2) - 5y + 2y^(2), x(t) =e^(t) and y(t) = cos t , then (dg)/(dt) is equal to