If a tank holds 3500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricell's Law gives the volume V of water remaining in the tank after t minutes as 5. v- 3500(1 - ) osts 50. Find the rate at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.) (a) 5 min gal/min (b) 10 min gal/min (e) 20 min gal/min (d) 50 min gal/min At what time is the water flowing out the fastest? min At what time is the water flowing out the slowest? min

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Page <
>
of 4
ZOOM
+
-
5.
If a tank holds 3500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the
volume V of water remaining in the tank after t minutes as
v= 350(1 - )*
Osts 50.
Find the rate at which water is draining from the tank after the following amounts of time. (Remember that the rate must be
negative because the amount of water in the tank is decreasing.)
(a)
5 min
gal/min
(b)
10 min
gal/min
(c) 20 min
gal/min
(d)
50 min
gal/min
At what time is the water flowing out the fastest?
min
At what time is the water flowing out the slowest?
min
A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor
Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes.
The initial population of a culture is 50 cells.
6.
(a) Find the relative growth rate.
k =
hr-1
(b) Find an expression for the number of cells after t hours.
P(t) =
(c) Find the number of cells after 3 hours.
cells
whileloop.asm
Show all
Transcribed Image Text:Page < > of 4 ZOOM + - 5. If a tank holds 3500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as v= 350(1 - )* Osts 50. Find the rate at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.) (a) 5 min gal/min (b) 10 min gal/min (c) 20 min gal/min (d) 50 min gal/min At what time is the water flowing out the fastest? min At what time is the water flowing out the slowest? min A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 50 cells. 6. (a) Find the relative growth rate. k = hr-1 (b) Find an expression for the number of cells after t hours. P(t) = (c) Find the number of cells after 3 hours. cells whileloop.asm Show all
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