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

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 ?
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Solution 1

The problem involves rates of change, so we'll use differential calculus to solve it. Here are the steps:

  1. Let's denote the side of the square as s and the area of the square as A. We know that A = s^2.

  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

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