Solve the Problem $\mathrm { v }$ (In Volts) Induced in a Tape Head Is Given By Volts)

Multiple Choice

Solve the problem.
-The voltage $\mathrm { v }$ (in volts) induced in a tape head is given by $\mathrm { v } = \mathrm { t } ^ { 2 } \mathrm { e } ^ { 3 \mathrm { t } }$ , where $t$ is the time (in seconds) . Find the average value of $v$ over the interval from $t = 0$ to $t = 2$ . Round to the nearest volt.

A) 6 volts
B) 194 volts
C) 40 volts
D) 1564 volts