EASY

11th Andhra Pradesh Board

IMPORTANT

Earn 100

The distance-time formula for the motion of a particle along, a straight line is $s = t^{3} - 9 t^{2} + 24 t - 18$ . Find when and where the velocity is zero.

Important Questions on Applications of Derivatives

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(e)>Q I

The displacement

s

of a particle travelling in a straight line in

t

seconds is given by

s = 45 t + 11 t^{2} - t^{3}

. Find the time when the particle comes to rest. [Enter the value excluding units]

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(e)>Q II

The volume of a cube is increasing at the rate of

8 {cm}^{3} / \sec

. How fast is the surface area increasing when the length of an edge is

s = t^{3} - 9 t^{2} + 24 t - 18

.(Answer up to

3

decimals)

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(e)>Q II

A stone is dropped into a quiet lake and ripples move in circles at the speed of $5 \frac{cm}{\sec}$ . At the instant when the radius of circular ripple is $8 cm$ , how fast is the enclosed area increases?(Write answer only numerical value without $π$ )

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(e)>Q II

The radius of a circle is increasing at the rate of

0.7 \frac{cm}{\sec}

. What is the rate of increase of its circumference?(Answer the numerical value with leaving

π

)

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(e)>Q II

A balloon, which always remains spherical on inflation, is being inflated by pumping in

900

cubic centimetres of gas per second. The rate at which the radius of balloon increases when the radius is

15 cm

is of the form of

\frac{a}{π}

, then

a =

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(e)>Q II

The radius of an air bubble is increasing at the rate of

\frac{1}{2} \frac{cm}{\sec}

. If the rate at which the volume of the bubble is increasing when the radius

1 cm

k π \frac{{cm}^{3}}{sec}

, then the value of

k

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(e)>Q II

Assume that an object is launched upward at

980 \frac{m}{\sec}

, Its position would be given by

s = - 4.9 t^{2} + 980 t

. Find the maximum height attained by the object.(Answer without units)

EASY

11th Andhra Pradesh Board

IMPORTANT

Intermediate First Year Mathematics Paper 1B>Chapter 10 - Applications of Derivatives>Exercise 10(e)>Q II

Let a kind of bacteria grow in such a way that at time

t \sec

, there are

t^{(3 / 2)}

bacteria. Find the rate of growth at time

t = 4

hours. [correct up to three decimal places]

The distance-time formula for the motion of a particle along, a straight line is s=t3-9t2+24t-18. Find when and where the velocity is zero.

Important Questions on Applications of Derivatives

Learn and Prepare for any exam you want !

The distance-time formula for the motion of a particle along, a straight line is $s = t^{3} - 9 t^{2} + 24 t - 18$ . Find when and where the velocity is zero.