A particle is moving in a straight line with the relation between the time and the distance in such a way that s=t³-9t²+24t-18. The value of its velocity when the acceleration is zero is

The approximate value of  cos 61⁰, given that 1⁰=0.1745 radian is

If there is a possible error of 0.01 cm in the measurement of side of a cube, the possible error in its surface area when the side is 10 cm is

If θ is the angle between the curves y²=4ax, ay=2x² at (a, 2a) then tan θ=

The set of all values of a for which the function f(x)=(a²-3a+2)(cos²x/4-sin²x/4)+(a-1)x+sin 1 does not possess critical points is

The least value of (x-a) (x-b) occurs at x=

F(x)= tan^-1 x is

The approximate value of  4√80 is

The curve whose subtangent is twice the abscissa of the point of contact and passing through (1,2) is

The subnormal to the curve y=a^x at any point varies directly as