a-container-is-being-filled-with-a-liquid-at-a-rate-that-changes-over-time-the-v

Question

A container is being filled with a liquid at a rate that changes over time. The volume of the liquid in the container after tt seconds is given by V=200(50−t)2V = 200(50 - $$t)^2$$ cubic meters. At what time is the magnitude of the flow rate into the container a maximum?

Accepted Answer

t=0t=0

Answer

t=4t=4

Answer

t=2t=2

Answer

t=1t=1

A container is being filled with a liquid at a rate that changes over time. The volume of the liquid in the container after tt seconds is given by V=200(50−t)2V = 200(50 - t)^2 cubic meters. At what time is the magnitude of the flow rate into the container a maximum?

A container is being filled with a liquid at a rate that changes over time. The volume of the liquid in the container after $t$ seconds is given by $V = 200 (50 - t)^{2}$ cubic meters. At what time is the magnitude of the flow rate into the container a maximum?