The voltage, V, (in volts) across a circuit is given by Ohm's law: V = IR, where I is the current (in amps) flowing through the circuit and R is the resistance (In ohms). If we place two circuits, with resistance R1 and R2, in parallel, then their combined resistance R is given by 1/R = 1/R1 + 1/R2. Suppose the current is 4 amps and increasing at 10-2 amp/sec and R1 is 4 ohms and increasing at 0.4 ohm/sec, while R2 is 5 ohms and decreasing at 0.1 ohm/sec. Calculate the rate at which the voltage is changing.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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The voltage, V, (in volts) across a circuit is given by Ohm's law: V = IR, where I is the current (in amps) flowing through the circuit and R is the resistance (In ohms). If we place two circuits, with resistance Rand R2, in parallel, then their combined resistance R is given by 1/R = 1/R1 + 1/R2. Suppose the current is 4 amps and increasing at 10-2 amp/sec and R1 is 4 ohms and increasing at 0.4 ohm/sec, while R2 is 5 ohms and decreasing at 0.1 ohm/sec. Calculate the rate at which the voltage is changing.

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