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 $\mathrm { t }$ is the time (in seconds) . Find the average value of $v$ over the interval from $t = 0$ to $t = 3$ . Round to the nearest volt.

A) 1100 volts
B) 16 volts
C) 6502 volts
D) 71,327 volts