The angle between the curves xy=4 and x²-y²=15 at the point (-4, -1) is

 If the rate of change in y=2x³+3x²-30x+7 is 6 times the rate of change in x, then x=

If x is real, the maximum value of 3x²+9x+17/3x²-9x+17 is

If there is a possible error of 0.02 cm in the measurement of the diameter of a spare then the possible percentage error in its volume when the radius 10 cm is

The maximum value of x⁴+3x³-2x²-9x+6 is

The points on the curve y=x²+√1-x² at which the tangent is perpendicular to x-axis are

If an error of 0.02cm is made while   measuring the radius 10cm of a sphere, then the error in the volume is

The stationary points of 2x³-9x²-24x+16 are

If y= ax+b/(x-1)(x-4) has a maximum value at the point (2, -1) then

The approximate percentage reduction in the volume of a cube of ice, if each side of the ice cube to reduced by 0.7% due to melting to: