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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 { a

Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson ISBN: 9781285774770 141

Solution for problem 4 Chapter 3.7

Calculus: Early Transcendental Functions | 6th Edition

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Calculus: Early Transcendental Functions | 6th Edition | ISBN: 9781285774770 | Authors: Ron Larson

Calculus: Early Transcendental Functions | 6th Edition

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Problem 4

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

Step-by-Step Solution:

Step 1 of 5) Below are some common weight-densities of fluids in pounds per cubic foot.

Step 2 of 2

Chapter 3.7, Problem 4 is Solved
Textbook: Calculus: Early Transcendental Functions
Edition: 6
Author: Ron Larson
ISBN: 9781285774770

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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 { a