A point P is moving on the curve `y = 2 x^(2)` . The x coordinate of P is increasing at the rate of 4 units per second . Find the rate at which y coordinate is incerasing when the point is at (2,8).

A point is moving on y=4-2x^2 . The x -coordinates of the point is decereasing at the rate of 5 units per second. The nthe rate at which y coordinates of the point is changing when the point is (1, 2) is

A point is moving on y = 4 - 2x^(2) . The x-coordinate of the point is decreasint at the rate of 5 units/sec. Then the rate at which y - coordinate of the point is changing when the point is at (1,2) is

A point is moving along the cubical parabola 12y = x^(3) . The rate of ordinate is less than the rate of abscissa when

The point on the circle x^2+y^2=2 at which the abscissa and ordinate increase at the same rate is

A point on the parabola y^2=18x at which the ordinate increases at twice the rate of the abscissa is

A particle moves along the curve y=x^2+2x . Then the point on the curve such that x and y coordinates of the particle change with the same rate

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