On the curve `x^3=12 y ,` find the interval of values of `x` for which the abscissa changes at a faster rate than the ordinate?

Find the point on the curve y^2= 8xdot for which the abscissa and ordinate change at the same rate.

Find the point on the curve y^2 = 8xdot for which the abscissa and ordinate change at the same rate.

A particle moves along the curve y=x^3 . Find the points on the curve at which the y-coordinate changes three times more rapidly than the x-coordinate.

Find the point on the curve y^2dot = 8xdot for which the abscissa and ordinate change at the same rate.

Find the values of 'x' for which the rate of change of x^4/4+x^3/3-x is more than x^4/4

A particle moves along the curve y=(2/3)x^3+1. Find the points on the curve at which the y-coordinate is changing twice as fast as the x-coordinate

A particle moves along the curve y= (2/3)x^3+1 . Find the points on the curve at which the y-coordinate is changing twice as fast as the x-coordinate.

A particle moves along the curve 6y = x^3 + 2 . Find the points on the curve at which y-co-ordinate is changing 8 times as fast as the x-co-ordinate.

Find a point on the curve y^(2)=2x at which the abscissa and ordinates are increasing at the same rate.

Find the equation of a curve passing through the point (0, 1) if the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.