?Using Related Rates In Exercises 1–4, assume that x and y are both differentiable functions of t and find the required values of \(d y / d t \text { a

Chapter 3, Problem 3

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Using Related Rates In Exercises 1–4, assume that x and y are both differentiable functions of t and find the required values of \(d y / d t \text { and } d x / d\).

          Equation                                             Find                                                  Given

      \(x y=4\)                          (a) \(\frac{d y}{d t} \text { when } x=8\)               \(\frac{d x}{d t}=10\)

     

                                             (b) \(\frac{d x}{d t} \text { when } x=1\)               \(\frac{d y}{d t}=-6\)

Text Transcription:

dy/dt and dx/d

xy=4

dy/dt when x=8

dx/dt=10

dx/dt when x=1

dy/dt=-6

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