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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
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Related RatesResistors connected in parallel If two

Chapter 3, Problem 145PE

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QUESTION:

Problem 145PE

Related Rates

Resistors connected in parallel If two resistors of R1 and R2 ohms are connected in parallel in an electric circuit to make an R-ohm resistor, the value of R can be found from the equation

If R1 is decreasing at the rate of 1 ohm sec and R2 is increasing at the rate of 0.5 ohm sec, at what rate is R changing when R1 = 75 ohms and R2 = 50 ohms ?

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QUESTION:

Problem 145PE

Related Rates

Resistors connected in parallel If two resistors of R1 and R2 ohms are connected in parallel in an electric circuit to make an R-ohm resistor, the value of R can be found from the equation

If R1 is decreasing at the rate of 1 ohm sec and R2 is increasing at the rate of 0.5 ohm sec, at what rate is R changing when R1 = 75 ohms and R2 = 50 ohms ?

ANSWER:

Solution:

Step 1 of 4:

 In this problem, we have to find the related rates of the connected resistance if R1 is decreasing at the rate of 1 ohm sec and R2 is increasing at the rate of 0.5 ohm sec, when R1 = 75 ohms and R2 = 50 ohms

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