MCQs of Applications of Derivatives

Showing 1 to 10 out of 266 Questions

The distance s moved by a particle in time t is given by

s = t^{3} - 6 t^{2} + 6 t + 8

. When the acceleration is zero, the velocity is_____.

The volume of a sphere is increasing at the rate of

π c m^{3} / s e c

. The rate at which the radius is increasing is_____, when the radius is 3cm.

There is 4 % error in measuring the period of a simple pendulum. The approximate percentage error in length is_____.(Hint :

T = 2 π \sqrt{\frac{l}{g}}

)

Approximate value of

(31)^{\frac{1}{5}}

is _____

The height and radius of a cylinder are equal. An error of 2 % is made in measuring height. The approximate percentage error in volume is_____

The tangent to

({at}^{2}, 2 at)

is perpendicular to X−axis at

The line

y = mx + 1

touches

y^{2} = 4 x

, if m =_____

The equation of normal to

x^{\frac{2}{3}} + y^{\frac{2}{3}} = a^{\frac{2}{3}} a t (\frac{a}{2 \sqrt{2}}, \frac{a}{2 \sqrt{2}})

is_____

f (x) = x^{x}

decreases in_____

10.

f (x) = 2 | x - 2 | + 3 | x - 4 |

is_____in (2, 4).

Showing 1 to 10 out of 266 Questions