If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula: D=0.265t-4.055 t+15.5, where t is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot. Make -nranh

Algebra for College Students
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Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter8: Functions
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explain in practical terms what your answer means.
For what values of t is the graph concave up? For what part of the graph is concave down?
d. What is the carrying capacity (the limiting value of N)?
C.
e. Solve: 11-x=3+xfor x
3. If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the
formula: D=0.265t-4.055t+15.5, where t is the time, in minutes, that the spigot is open
and D is the depth, in inches, above the spigot.
Make a graph of D verses t. Include values of t up to 7.5 minutes.
b. Calculate D(3) and explain in practical terms what your answer means.
a.
C.
When will the water jug be completely drained?
d. Does the water drain faster near the beginning or when the water is mostly drained?
4.
The number of deer on the George Reservet years after introduction is given by:
6.21
0.035+0.45
How many deer were introduced into the deer reserve?
b. Calculate N(4) and cxplain the mecaning of the number you have calculated.
Find the carrying capacity for the deer in the reserve.
d. Explain how the population varies with time. Include in your explanation the average rate of
increase over cach 2-ycar period for the first eight ycars.
a.
C.
Transcribed Image Text:explain in practical terms what your answer means. For what values of t is the graph concave up? For what part of the graph is concave down? d. What is the carrying capacity (the limiting value of N)? C. e. Solve: 11-x=3+xfor x 3. If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula: D=0.265t-4.055t+15.5, where t is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot. Make a graph of D verses t. Include values of t up to 7.5 minutes. b. Calculate D(3) and explain in practical terms what your answer means. a. C. When will the water jug be completely drained? d. Does the water drain faster near the beginning or when the water is mostly drained? 4. The number of deer on the George Reservet years after introduction is given by: 6.21 0.035+0.45 How many deer were introduced into the deer reserve? b. Calculate N(4) and cxplain the mecaning of the number you have calculated. Find the carrying capacity for the deer in the reserve. d. Explain how the population varies with time. Include in your explanation the average rate of increase over cach 2-ycar period for the first eight ycars. a. C.
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