Answer Happy

In problems 2 – 10, we consider a simple electrical circuit with voltage V (measured in volts), resistance R (measured in ohms), and current I (measured in amps). These three positive variables are related to one another by “Ohms' Law”: V=IR. We may consider this law as written, or treat I as a function of R and V, and write : 1 = I(R,V) = x = R

Find the equation of the tangent plane to the surface I = I(R,V) = ☆ at R=3, V=12. If the resistance is measured as 3 ohms with a possible error of 0.05 ohms, and the voltage is measured as 12 volts with a possible error of 0.2 volts, use differentials to estimate the propagated error in the calculation of the current.