Niza T.

asked • 02/25/16

CALCULUS HELPPPP

A storage tank at a factory collects liquid waste and can be drained by opening a drainage valve at the
base of the tank. The depth, d(t), of fluid in the tank t hours after the valve is opened is given by the
formula below.

d(t)=6(1-t/12)2 meters
 
 
a. Daily production in the factory ends at 5:30 p.m. If the valve is opened at 6:30 p.m. and remains
open, at what time will the tank be completely empty? Explain how you arrived at your answer.
 
b. At 10:30 a.m., the storage tank is completely full and the valve is left open until 1:45 p.m. How many
meters of liquid waste have emptied from the tank by 1:45 p.m.?
 
c. What is the value of
d'(2)
. Using correct units of measure, explain what this value represents.
 
d. Is waste draining faster after 30 minutes or after 2 hours? Justify your answer
 

1 Expert Answer

By:

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.