?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

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

 \(x^{2}+y^{2}=25\)            (a) \(\frac{d y}{d t} \text { when } x=3, y=4\)          \(\frac{d x}{d t}=8\)

                                         (b) \(\frac{d x}{d t} \text { when } x=4, y=3\)           \(\frac{d y}{d t}=-2\)

Text Transcription:

dy/dt and dx/d

x^2+y^2=25

dy/dt when x=3, y=4

dx/dt=8

dx/dt when x=4, y=3

dy/dt=-2