Question: #6. Multivariate Chain Rules The voltage, V, current, I, and resistance, R, in an electric circuit are related by Ohm's Law, V = IR.

#6. Multivariate Chain Rules The voltage, V, current, I, and resistance, R, in an electric circuit are related by Ohm's Law, V = IR. Suppose the circuit contains a 24-volt battery and a 500-ohm resistor, so that at time = 0 the current is given by I V/R = 0.048 amperes, or 48 milliamps. Suppose also that the battery drains at a rate of 0.1 volts per minute, and the resistor heats up, causing the resistance to increase at a rate of 5 ohms per minute. Use a multivariate chain rule to calculate how fast the current is changing. Is the current increasing, or is it decreasing?

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