## Transcribed Text

1.
-/3 POINTS
SCALCET8 4.7.015.MI
MY NOTES
ASK YOUR TEACHER
If 1,200 cm² of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
cm³
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2.
-/3 POINTS
SCALCET8 4.7.007.MI.
MY NOTES
ASK YOUR TEACHER
Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. (If both values are the same number, enter it into both blanks.)
m (smaller value)
m (larger value)
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3.
-/3 POINTS
SCALCET8 4.7.034.MI.
MY NOTES
ASK YOUR TEACHER
A
Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle. See the figure below.) If the perimeter of the window is 8 ft, find the value of X so that the greatest possible amount of light is admitted.
X=
ft
x
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4.
-/3 POINTS
SCALCET8 4.7.009.MI.
MY NOTES
ASK YOUR TEACHER
A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the soil (measured in appropriate units) is
kN
Y
N2
where k is a positive constant. What nitrogen level gives the best yield?
N =
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5.
-12 POINTS
SCALCET8 4.1.005.
MY NOTES
ASK YOUR TEACHER
Use the graph to state the absolute and local maximum and minimum values of the function. (Assume each point lies on the gridlines. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
y= f(x)
-1
01
x
absolute maximum value
absolute minimum value
local maximum value(s)
local minimum value(s)
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Submit Answer
6.
-/2 POINTS
SCALCET8 4.1.035.MI.
MY NOTES
ASK YOUR TEACHER
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
y-3
y=
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7.
-/4 POINTS
SCALCET8 4.1.049.MI.
MY NOTES
ASK YOUR TEACHER
Find the absolute maximum and absolute minimum values of f on the given interval.
fx)=6x-18x2-144 +5, [-3, 5]
absolute minimum value
absolute maximum value
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8.
-/4 POINTS
SCALCET8 4.1.055.
MY NOTES
ASK YOUR TEACHER
Find the absolute maximum and absolute minimum values of f on the given interval. Give exact answers using radicals, as necessary.
f(t)=t-3t,[-1,
5]
absolute minimum value
absolute maximum value
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9.
-/4 POINTS
SCALCET8 4.1.061.
MY NOTES
ASK YOUR TEACHER
Find the absolute maximum and absolute minimum values of on the given interval.
f(x) = In(x2 + 5x + 15), [-3, 1]
absolute minimum value
absolute maximum value
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10.
-/4 POINTS
SCALCET8 4.1.057.
MY NOTES
ASK YOUR TEACHER
Find the absolute maximum and absolute minimum values of f on the given interval.
f(t) = 2 cos(t) + sin(2t), [0, , //2]
absolute minimum value
absolute maximum value
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1.
-/3 POINTS
SCALCET8 4.7.015.MI
MY NOTES
ASK YOUR TEACHER
If 1,200 cm² of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
cm³
Need Help?
Read It
Watch It
Master It
Talk Tutor
2.
-/3 POINTS
SCALCET8 4.7.007.MI.
MY NOTES
ASK YOUR TEACHER
Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. (If both values are the same number, enter it into both blanks.)
m (smaller value)
m (larger value)
Need Help?
Read
Watch It
Master It
Talk Tutor
3.
-/3 POINTS
SCALCET8 4.7.034.MI.
MY NOTES
ASK YOUR TEACHER
A
Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle. See the figure below.) If the perimeter of the window is 8 ft, find the value of X so that the greatest possible amount of light is admitted.
X=
ft
x
Need Help?
Read
Master It
Talk Tutor
4.
-/3 POINTS
SCALCET8 4.7.009.MI.
MY NOTES
ASK YOUR TEACHER
A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the soil (measured in appropriate units) is
kN
Y
N2
where k is a positive constant. What nitrogen level gives the best yield?
N =
Need Help?
Read
Watch
Master
Talk Tutor
8.
-/4 POINTS
SCALCET8 4.1.055.
MY NOTES
ASK YOUR TEACHER
Find the absolute maximum and absolute minimum values of f on the given interval. Give exact answers using radicals, as necessary.
f(t)=t-3t,[-1,
5]
absolute minimum value
absolute maximum value
Need Help?
Read
Watch It
Talk Tutor
9.
-/4 POINTS
SCALCET8 4.1.061.
MY NOTES
ASK YOUR TEACHER
Find the absolute maximum and absolute minimum values of on the given interval.
f(x) = In(x2 + 5x + 15), [-3, 1]
absolute minimum value
absolute maximum value
Need Help?
Read
Talk Tutor
10.
-/4 POINTS
SCALCET8 4.1.057.
MY NOTES
ASK YOUR TEACHER
Find the absolute maximum and absolute minimum values of f on the given interval.
f(t) = 2 cos(t) + sin(2t), [0, , //2]
absolute minimum value
absolute maximum value
Need Help?
Read It
Talk Tutor
5.
-12 POINTS
SCALCET8 4.1.005.
MY NOTES
ASK YOUR TEACHER
Use the graph to state the absolute and local maximum and minimum values of the function. (Assume each point lies on the gridlines. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
y= f(x)
-1
01
x
absolute maximum value
absolute minimum value
local maximum value(s)
local minimum value(s)
Need Help?
Read
Watch
Talk Tutor
Submit Answer
6.
-/2 POINTS
SCALCET8 4.1.035.MI.
MY NOTES
ASK YOUR TEACHER
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
y-3
y=
Need Help?
Read
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Master
Talk Tutor
7.
-/4 POINTS
SCALCET8 4.1.049.MI.
MY NOTES
ASK YOUR TEACHER
Find the absolute maximum and absolute minimum values of f on the given interval.
fx)=6x-18x2-144 +5, [-3, 5]
absolute minimum value
absolute maximum value
Need Help?
Read It
Watch It
Master It
Talk Tutor

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