The slope of the tangent line of a curve is given by `2x^(3)+4x^(2)-3x+2`. Find the equation of the curve if it passes through (0,2).

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .

At any point (x,y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (-4,-3) . Find the equation of the curve, given that it passes through (-2,1) .

A curve passes through the point (3,-4) and the slope of the tangent to the curve at any point (x,y) is (-(x)/(y)) . Find the equation of the curve.

At any point (x,y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (−4,−3). Find the equation of the curve given that it passes through (−2,1)

At any point (x,y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point(-4, -3).Find the equation of the curve given that it passes through (-2, 1).

At any point (x,y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point(-4, -3).Find the equation of the curve given that it passes through (-2, 1).

At any point (x,y) of a curve, the slope of the tangent is twice the slope of the line segment, joining the point of contact to the point (-4,-3). Find the equation of the curve given that it passes through (-2,1).