Explanation Given : The equation is y = 5 x + 9 . Calculation: Differentiate the equation with respect to t by using chain rule as follows: d d t ( y ) = d d t ( 5 x + 9 ) d y d t = 5 2 x + 9 ⋅ d x d t d x d t = 2 x + 9 5 ⋅ d y d t Substitute 4 for

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 3.7, Problem 13PS

To determine

The value of the expression dxdt if dydt=4 and x=16 .

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Chapter 3.7, Problem 12PS

Chapter 3.7, Problem 14PS

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Chapter 3 Solutions

Calculus

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The value of the expression d x d t if d y d t = 4 and x = 16 .

Solution Summary: The author calculates the value of the expression dxt by using a chain rule.

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The value of the expression dxdt if dydt=4 and x=16 .

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Chapter 3 Solutions