The legs of an isosceles right triangle increase in length at a rate of 3 m/s.   Part A At what rate is the area of the triangle changing when the legs are 2m​ long?   Part B At what rate is the area of the triangle changing when the hypotenuse is 5m​ long?   Part C At what rate is the length of the hypotenuse changing?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter22: Introduction To Percents
Section: Chapter Questions
Problem 1A
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Question
The legs of an isosceles right triangle increase in length at a rate of 3 m/s.
 
Part A
At what rate is the area of the triangle changing when the legs are
2m​ long?
 
Part B
At what rate is the area of the triangle changing when the hypotenuse is
5m​ long?
 
Part C
At what rate is the length of the hypotenuse changing?
 
 
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