A rectangular shaped region is changing with time and increasing in the x direction at the rate of 2 units/sec and decreasing in the y direction at the rate of 0.5 units/sec. How does the diagonal change when x=4 and y=6? Is the diagonal increasing or decreasing at this moment?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...
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A rectangular shaped region is changing with time and increasing in the x direction at the rate of 2 units/sec and decreasing in the y direction at the rate of 0.5 units/sec. How does the diagonal change when x=4 and y=6? Is the diagonal increasing or decreasing at this moment? 

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