For the curve y²=(x+a)³, then square of the sub tangent is ….subnormal

The approximate value of log (2.01), given that log 2=0.6934 is

If there is an error of 0.05 cm, while measuring the side of equilateral triangles as 5 cm, then the percentage error in area is

A man on a wharf 20mt above the water level pulls in a rope to which a boat is attached at the rate of 4mt per second. At what rate is the boat approaching the shore, when there is still 25mt rope out…?

A particle is moving along a line according to the law s=t³-3t²+5. The acceleration of the particle at the instant where the velocity is zero is

A circular plate expands when heated from a radius of 5 cm to 5.06 cm. The approximate increase area is

A stone is projected vertically upwards with an initial velocity 112 ft/sec and moves such that s=112t-16t² where s is the distance from the starting point and t is the time. The greatest height reached by the stone is

The angle between the curves y²=8, x²=4y-12 at (2, 4) is

The radius of a sphere is 3 cm. If an error of 0.03 cm is made in measuring the radius of the sphere, then the percentage error in its surface area is

If p and q are the lengths of the perpendiculars from the origin on the tangent and the normal to the curve x^2/3+y^2/3=a^2/3, then 4p²+q² =