The altitude of a triangle is increasing at a rate of 3 cm/min while the area of thetriangle is increasing at a rate of 4 cm²/min. At what rate is the base of the trianglechanging when the altitude is 10 cm and the area is 90 cm2?

Given that The altitude of a triangle is increasing at a rate of 3 cm/min The area of the triangle…

Answered: The altitude of a triangle is…

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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MAXIMA-MINIMA and RELATED RATE APPLICATIONS
The base of a triangle increases at a rate of 3 cm per minute while the height of the triangle decreases at a rate of 2 cm per minute. At what rate is the area of the triangle changing with respect to time when the height is 10 cm and the base is 15 cm? Be sure to write units for your answer.

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The altitude of a triangle is increasing at a rate of 3 cm/min while the area of the triangle is increasing at a rate of 4 cm²/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 90 cm2?