Suppose that z = x²y°, where both x and y are changing with time. At a certain instant when x = 2 and y = 1,x is decreasing at the rate of 5 units/s, and y is increasing at the rate of 2 units/s. How fast is z changing at this instant? Is z increasing or decreasing? Enter the exact answer. Rate of change of z, = ! units/s

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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Suppose that z = x²y°, where both x and y are changing with time. At a certain instant when x = 2 and y = 1,x is decreasing at the
rate of 5 units/s, and y is increasing at the rate of 2 units/s. How fast is z changing at this instant? Is z increasing or decreasing?
Enter the exact answer.
Rate of change of z, =
! units/s
Transcribed Image Text:Suppose that z = x²y°, where both x and y are changing with time. At a certain instant when x = 2 and y = 1,x is decreasing at the rate of 5 units/s, and y is increasing at the rate of 2 units/s. How fast is z changing at this instant? Is z increasing or decreasing? Enter the exact answer. Rate of change of z, = ! units/s
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