Chapter 14.5, Problem 40E
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Multivariable Calculus
8th Edition
James Stewart
ISBN: 9781305266643
Solutions
Chapter
Section
BuyFindarrow_forward
Multivariable Calculus
8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem
The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The resistance R is slowly increasing as the resistor heats up. Use Ohm’s Law, V = IR, to find how the current I is changing at the moment when R = 400 Ω, I = 0.08 A, dV/dt = −0.01 V/s, and dR/dt = 0.03 Ω/s.
To determine
To find: The rate of change of I when
Explanation
Given:
The Ohm’s Law is V=IR where V is voltage, I is current and R is resistance.
The values of
Chain Rule:
“Suppose that
Calculation:
The Ohm’s Law V = IR can be written as,
By using chain rule, obtain the value of
Chapter 14 Solutions
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