R S Aggarwal Solutions for Exercise 1: EXERCISE
R S Aggarwal Mathematics Solutions for Exercise - R S Aggarwal Solutions for Exercise 1: EXERCISE
Attempt the free practice questions from Exercise 1: EXERCISE with hints and solutions to strengthen your understanding. SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12 solutions are prepared by Experienced Embibe Experts.
Questions from R S Aggarwal Solutions for Exercise 1: EXERCISE with Hints & Solutions
Water is dripping through a tiny hole at the vertex in the bottom of a conical funnel at a uniform rate of . When the slant height of the water is , the rate of decrease of the slant height of the water in , given that the vertical angle of the funnel is is . Find . (Take )

Oil is leaking at the rate of from a vertically kept cylindrical drum containing oil. If the radius of the drum is and its height is , find the rate at which the level of the oil is changing when the oil level is .

A long ladder is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of . How fast is its height on the wall decreasing when the foot of the ladder is away from the wall?

A man is moving away from a high tower at a speed of . Find the rate is which the angle of elevation of the top of the tower is changing when he is at a distance of metres from the foot of the tower. Assume that the eye level of the man is from the ground.

An angle which increases twice as fast as its sine. Find the value of .

The radius of a balloon is increasing at the rate of . At what rate is the surface area of the balloon increasing when the radius is ?

An edge of a variable cube is increasing at the rate of . How fast is the volume of the cube increasing when the edge is long?

The side of an equilateral triangle are increasing at the rate of . Find the rate at which the area is increasing when the side is .
