Suppose that z = x³y², 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 2 units/s, and y is increasing at the rate of 3 units/s. How fast is z changing at this instant? Is z increasing or decreasing? Enter the exact answer. Rate of change of z = i units/s zis e increasing Media decreasing

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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Suppose that z = x³y², 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 2 units/s, and y is increasing at the rate of 3 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
zis
e increasing
decreasing
i
Media
Transcribed Image Text:Suppose that z = x³y², 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 2 units/s, and y is increasing at the rate of 3 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 zis e increasing decreasing i Media
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