Rate of change of resistance
3,172
HINT
So you have $$V(t) = I(t) R(t).$$
 Compute $V'(t)$ using product rule.
 You are given $V'(t), I'(t)$ and $V,I$ are specified as well.
 Plug into your result in (1) to compute what you need.
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user8620062
Updated on December 28, 2022Comments

user8620062 10 months
The voltage $V$ (volts), current $I$ (amperes), and resistance $R$ (ohms) of an electric circuit are related by the equation $V = IR$.
Suppose that $V$ is increasing at a rate of $3$ volt/sec while $I$ is decreasing at a rate of $\frac{1}{4}$ amp/sec. Let $t$ denote time in seconds.
Determine the rate at which $R$ is changing when $V$ = 9 volts and $I$ = 5 amperes.