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The velocity, in $\text{ft/sec}$, of a particle moving along the $x$-axis is given by the function $v(t)={ e }^{ 2t }-{ e }^{ t }$. What is the average velocity of the particle from time $t=0$ to $t=4$?

A

$359.095\text{ ft/sec}$

B

$1436.381\text{ ft/sec}$

C

$731.590\text{ ft/sec}$

D

$358.845\text{ ft/sec}$

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