a-balloon-is-inflated-and-its-volume-in-cubic-meters-after-ttt-seconds-is-given-

Question

A balloon is inflated, and its volume in cubic meters after $t$ seconds is given by the function $V of t equals 4 t$ . Calculate $V^{\prime}\left(10\right)$ and interpret the meaning of this value. Include units in your answer.

Accepted Answer

$V'(10) = 4$ $ext{ m}^3 ext{/s}$

The rate of change of the volume of the balloon is $4 ext{ m}^3 ext{/s}$ at $t = 10$ $ext{ s}$ .

Answer

$V prime of 10 equals 10$ $ext{ m}^3 ext{/s}$

The rate of change of the volume of the balloon is $10$ $ext{ m}^3 ext{/s}$ at $t = 10$ $ext{ s}$ .

Answer

$V prime of 10 equals 10$ $ext{ m}^3 ext{/s}$

The rate of change of the volume of the balloon is $10$ $ext{ m}^3 ext{/s}$ at $t = 10$ $ext{ s}$ .

Answer

$V prime of 10 equals 10$ $ext{ m}^3 ext{/s}$

The rate of change of the volume of the balloon is $10$ $ext{ m}^3 ext{/s}$ at $t = 10$ $ext{ s}$ .

A balloon is inflated, and its volume in cubic meters after ttt seconds is given by the function V(t)=4t V(t) = 4t . Calculate V′(10)V^{\prime}\left(10\right)V′(10) and interpret the meaning of this value. Include units in your answer.

A balloon is inflated, and its volume in cubic meters after $t$ seconds is given by the function $V of t equals 4 t$ . Calculate $V^{\prime}\left(10\right)$ and interpret the meaning of this value. Include units in your answer.