Explanation Given : The equation is y = x . Calculation: Differentiate the equation with respect to t by using chain rule as follows: d d t ( y ) = d d t ( x ) d y d t = 1 2 x ⋅ d x d t Substitute 6 for d x d t and 144 for x in equation

7th Edition

ISBN: 9781524916817

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 9PS

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The value of the expression dydt if dxdt=6 and x=144 .

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Chapter 3.7, Problem 8PS

Chapter 3.7, Problem 10PS

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Chapter 3 Solutions

Calculus

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The value of the expression d y d t if d x d t = 6 and x = 144 .

Solution Summary: The author compares the value of the expression dyt and the equation with respect to t by using the chain rule.

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The value of the expression dydt if dxdt=6 and x=144 .

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Chapter 3 Solutions