Suppose that z = x3y2, where both x and y are changingwith time. At a certain instant

Chapter 3, Problem 10

(choose chapter or problem)

Suppose that \(z=x^{3} y^{2}\), where both \(x\) and \(y\) are changing with time. At a certain instant when \(x=1\) and \(y=2\), \(x\) 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?

Equation Transcription:

Text Transcription:

z = x^3 y^2

x

y

x = 1

y = 2

z