Each side of a square is increasing at a rate of 3 cm/s3 cm/s . At what rate is the area of the square increasing when the area of the square is 9 cm29 cm2 ?
Question
Solution 1
The problem involves rates of change, so we'll use differential calculus to solve it. Here are the steps:
Let's denote the side of the square as s and the area of the square as A. We know that A = s^2.
We're given that ds/dt = 3 cm/s, which is the rate at which the side of the square is incr Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
Each side of a square is increasing at a rate of 3 cm/s3 cm/s . At what rate is the area of the square increasing when the area of the square is 9 cm29 cm2 ?
The area of the circle that can be inscribed in a square of side 8 cm is ___________. (a) 36 π cm2 (b) 16 π cm2 (c) 12 π cm2 (d) 9 π cm2
Three cubes that have side lengths of 5 cm are joined end to end. What is the surface area of the resulting shape?a175 cm2 b225 cm2c300 cm2 d350 cm2
Given that , what is the total surface area of a cylinder that has a radius of 3 cm and a height of 8 cm?a145.3 cm2 b1179.0 cm2c207.2 cm2 d241.6 cm2
Find the area of the shaded region in figure, if ABCD is a square of side 14 cm and APD and BPC are semicircles.