SOLUTION: The volume of water, V, in kiloliters (kl), in the Stratford water tower on a given day at t hours after midnight can be modelled using the sinusoidal function: V(t)=50000sin[15(t-

Question 1062726: The volume of water, V, in kiloliters (kl), in the Stratford water tower on a given day at t hours after midnight can be modelled using the sinusoidal function: V(t)=50000sin[15(t-3)] +100000
a. Determine the maximum and minimum values for the volume of water in the tank
b.At what time will the volume of water be maximum? At what time will the volume of water be at minimum
c. What will the volume of water be at 10:30 am?
d. During what time period will the volume of water be more than 130 000 kl?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

( is the angle in degrees or radians? I'm guessing degrees )

----------------------------
(a)
The sine function varies from to

and

--------------------------------
(b)

The volume is maximum at 9 AM
and

The volume is minimum at 9 PM
---------------------------------
(c)

kl
-------------------------------------
(d)

and

-------------------------
The volume is greater than 130, 000 kl between
5:27:29 AM and 12:32:31 PM
--------------------------
Lots of math! check it carefully

RELATED QUESTIONS
I would like to clarify this question,it is written like this in the text book (KL)... (answered by ikleyn,greenestamps)

In a particular harbour, high tide occurred at midnight. The depth of the water in a... (answered by Theo)

In Africa, the time for sunrise any day during the year can be shown as the formula:... (answered by stanbon)

for a certain day the depth of water,h, in metres in Tofino,B.C at time t, in hours, is... (answered by addingup)

Sorry I had asked the same question before but by accidentally i wrote the wrong equation (answered by stanbon)

How can I set up a related equation with the given information: "Water started leaking (answered by josgarithmetic)

At an ocean port on a certain day, the water has a depth of d metres at a time t hours... (answered by Alan3354)

At A water tank is being filled by water being pumped into the tank at a volume given by... (answered by ikleyn)

At A water tank is being filled by water being pumped into the tank at a volume given by... (answered by greenestamps,ikleyn)