### MCQs of Applications of Derivatives

Showing 1 to 10 out of 266 Questions
1.
The distance s moved by a particle in time t is given by $s={t}^{3}-6{t}^{2}+6t+8$. When the acceleration is zero, the velocity is_____.
 (a) 5 cm/sec (b) 2 cm/sec (c) 6 cm/sec (d) -6 cm/sec
2.
The volume of a sphere is increasing at the rate of . The rate at which the radius is increasing is_____, when the radius is 3cm.
 (a) (b) 36 cm/sec (c) 9 cm/sec (d) 27 cm/sec
3.
There is 4 % error in measuring the period of a simple pendulum. The approximate percentage error in length is_____.(Hint : )
 (a) 4 % (b) 8 % (c) 2 % (d) 6 %
4.
Approximate value of $\left(31{\right)}^{\frac{1}{5}}$ is _____
 (a) 2.01 (b) 2.1 (c) 2.0125 (d) 1.9875
5.
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_____
 (a) 6 % (b) 4 % (c) 3 % (d) 2 %
6.
The tangent to is perpendicular to X−axis at
 (a) (4a, 4a) (b) (a, 2a) (c) (0, 0) (d) (a, -2a)
7.
The line $\mathrm{y}=\mathrm{mx}+1$ touches ${y}^{2}=4x$, if m =_____
 (a) 0 (b) 1 (c) -1 (d) 2
8.
The equation of normal tois_____
 (a) 2x + y =0 (b) y = 1 (c) x = 0 (d) x = y
9.
$f\left(x\right)={x}^{x}$ decreases in_____
 (a) (b) (c) (d)
10.
is_____in (2, 4).
 (a) decreasing (b) increasing (c) constant (d) cannot be decided
Showing 1 to 10 out of 266 Questions