For an electrical component the voltage and current satisfy

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

For an electrical component the voltage

V

and current

I

satisfy

V = IR

, where

R

is the (time-varying) resistance. At one moment

I = 2.0\text{ A}

and is increasing at

0.05\text{ A/s}

, while

R = 6.0\;\Omega

and is increasing at

0.020\;\Omega/\text{s}

. What is the instantaneous rate of change of the voltage,

dV/dt

, at that moment? (a)

+0.30\text{ V/s}

(b)

-0.34\text{ V/s}

(c)

+0.34\text{ V/s}

(d)

+0.26\text{ V/s}