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Give your answer accurate to 3 decimal places. The area of an equilateral triangle is decreasing at a rate of 3 cm2/min. Find the rate (in centimeters per minute) at which the length of a side is decreasing when the area of the triangle is 100 cm². 0.228 cm/min

Give your answer accurate to 3 decimal places. The area of an equilateral triangle is decreasing at a rate of 3 cm2/min. Find the rate (in centimeters per minute) at which the length of a side is decreasing when the area of the triangle is 100 cm². 0.228 cm/min

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem Statement:** Give your answer accurate to 3 decimal places. The area of an equilateral triangle is decreasing at a rate of \(3 \, \text{cm}^2/\text{min}\). Find the rate (in centimeters per minute) at which the length of a side is decreasing when the area of the triangle is \(100 \, \text{cm}^2\). **Solution:** The rate at which the length of a side is decreasing is \(0.228 \, \text{cm/min}\).
Transcribed Image Text:**Problem Statement:** Give your answer accurate to 3 decimal places. The area of an equilateral triangle is decreasing at a rate of \(3 \, \text{cm}^2/\text{min}\). Find the rate (in centimeters per minute) at which the length of a side is decreasing when the area of the triangle is \(100 \, \text{cm}^2\). **Solution:** The rate at which the length of a side is decreasing is \(0.228 \, \text{cm/min}\).
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