تكلم مع الذكاء الاصطناعي
Deck 1: Limits and Their Properties
ملء الشاشة (f)
سؤال
Complete the table and use the result to estimate the limit. 
A)-0.062500
B)0.067500
C)-0.192500
D)0.047500
E)-0.172500
A)-0.062500
B)0.067500
C)-0.192500
D)0.047500
E)-0.172500
سؤال
Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the distance traveled in 20 seconds by an object moving with a velocity of
feet
Per second.
A)calculus, 162.4485 ft
B)precalculus, 163.7985 ft
C)calculus, 165.4777 ft
D)precalculus, 165.4777 ft
E)precalculus, 162.4485 ft
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the distance traveled in 20 seconds by an object moving with a velocity of
feetPer second.
A)calculus, 162.4485 ft
B)precalculus, 163.7985 ft
C)calculus, 165.4777 ft
D)precalculus, 165.4777 ft
E)precalculus, 162.4485 ft
سؤال
Let 
Determine the following limit.(Hint: Use the graph to calculate the limit.) 
A)5
B)4
C)3
D)0
E)does not exist
Determine the following limit.(Hint: Use the graph to calculate the limit.) A)5
B)4
C)3
D)0
E)does not exist
سؤال
Consider the function 
and the point 
on the graph of
A)
B)
C)
D)
E)
and the point on the graph ofA)
B)
C)
D)
E)
سؤال
Complete the table and use the result to estimate the limit. 
A)0.525000
B)0.275000
C)-0.100000
D)0.400000
E)-0.475000
A)0.525000
B)0.275000
C)-0.100000
D)0.400000
E)-0.475000
سؤال
Complete the table and use the result to estimate the limit. 
A)
B)
C)0
D)0.5
A)
B)
C)0
D)0.5
سؤال
Use the rectangles in the graph given below to approximate the area of the region bounded by 
Round your answer to three decimal places. 
A)2.481
B)6.371
C)3.585
D)6.872
E)6.903
Round your answer to three decimal places. A)2.481
B)6.371
C)3.585
D)6.872
E)6.903
سؤال
Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
A cyclist is riding on a path whose elevation is modeled by the function
where 
are measured in miles.Find the rate of change of elevation when x = 4. 
A)precalculus, 0.08
B)calculus, 0.2
C)calculus, 0.64
D)calculus, 0.08
E)precalculus, 0.2
Require calculus, use a graphical or numerical approach to estimate the solution.
A cyclist is riding on a path whose elevation is modeled by the function
where are measured in miles.Find the rate of change of elevation when x = 4. A)precalculus, 0.08
B)calculus, 0.2
C)calculus, 0.64
D)calculus, 0.08
E)precalculus, 0.2
سؤال
Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the area of the shaded region bounded by the triangle with vertices (0,0), (8,9), (17,0).
A)precalculus , 153
B)calculus , 229.5
C)precalculus , 76.5
D)precalculus , 229.5
E)calculus , 153
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the area of the shaded region bounded by the triangle with vertices (0,0), (8,9), (17,0).
A)precalculus , 153
B)calculus , 229.5
C)precalculus , 76.5
D)precalculus , 229.5
E)calculus , 153
سؤال
Determine the following limit.(Hint: Use the graph to calculate the limit.) 
A)6
B)1
C)5
D)4
E)does not exist
A)6
B)1
C)5
D)4
E)does not exist
سؤال
Consider the function 
and the point 
on the graph of
A)m=0.1667
B)m=0.0832
C)m=0.3800
D)m=0.0556
E)m=0.0833
and the point on the graph ofA)m=0.1667
B)m=0.0832
C)m=0.3800
D)m=0.0556
E)m=0.0833
سؤال
on the graph of f. Find the
slope of the secant line passing through and for . Round your answer to
four decimal places.
Consider the function
nd the point 
on the graph of f. Find the slope of the secant line passing through 
Round your answer to four decimal places.
A)m=0.1000
B)m=0.0122
C)m=0.01220
D)m=0.3133
slope of the secant line passing through and for . Round your answer to
four decimal places.
Consider the function
nd the point on the graph of f. Find the slope of the secant line passing through Round your answer to four decimal places. A)m=0.1000
B)m=0.0122
C)m=0.01220
D)m=0.3133
سؤال
Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
A cyclist is riding on a path whose elevation is modeled by the function
where x and 
are measured in miles.Find the rate of change of elevation when x = 5. 
A)calculus, 2
B)precalculus, 0.2
C)calculus, 0.2
D)precalculus, 2
E)precalculus, 0.45
Require calculus, use a graphical or numerical approach to estimate the solution.
A cyclist is riding on a path whose elevation is modeled by the function
where x and are measured in miles.Find the rate of change of elevation when x = 5. A)calculus, 2
B)precalculus, 0.2
C)calculus, 0.2
D)precalculus, 2
E)precalculus, 0.45
سؤال
Consider the function 
and the point 
on the graph of
A)10
B)3
C)8
D)2
E)9
and the point on the graph ofA)10
B)3
C)8
D)2
E)9
سؤال
Consider the function 
and the point 
n the graph of
A)3.5
B)2.0
C)3.0
D)4.5
E)9.0
and the point n the graph ofA)3.5
B)2.0
C)3.0
D)4.5
E)9.0
سؤال
Consider the function 
and the point 
on the graph of
A)
B)
C)
D)
E)
and the point on the graph ofA)
B)
C)
D)
E)
سؤال
سؤال
Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the area of the shaded region.
A)calculus , 11
B)precalculus , 11
C)precalculus , 13
D)calculus , 16
E)precalculus , 16
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the area of the shaded region.
A)calculus , 11
B)precalculus , 11
C)precalculus , 13
D)calculus , 16
E)precalculus , 16
سؤال
Consider the function 
and the point P(64,8) on the graph of
A)0.0633 , -0.0627 , 0.0623
B)0.0633 , 0.0627 , 0.0623
C)0.0317 , 0.0314 , 0.0312
D)0.0633 , -0.0627 , -0.0623
E)-0.0317 , -0.0314 , -0.0312
and the point P(64,8) on the graph ofA)0.0633 , -0.0627 , 0.0623
B)0.0633 , 0.0627 , 0.0623
C)0.0317 , 0.0314 , 0.0312
D)0.0633 , -0.0627 , -0.0623
E)-0.0317 , -0.0314 , -0.0312
سؤال
Consider the length of the graph of 
Approximate the length of the curve by finding the sum of the lengths of four line segments, as shown in following
Figure.Round your answer to two decimal places.
A)6.11
B)8.12
C)5.66
D)8.49
E)7.11
Approximate the length of the curve by finding the sum of the lengths of four line segments, as shown in followingFigure.Round your answer to two decimal places.
A)6.11
B)8.12
C)5.66
D)8.49
E)7.11
سؤال
What is the limit of 
as x approaches 
A)
B)
C)
D)
E)none of the above
as x approaches A)
B)
C)
D)
E)none of the above
سؤال
Let 
Determine the following limit.(Hint: Use the graph to calculate the limit.) 
A)6
B)25
C)1
D)5
E)does not exist.
Determine the following limit.(Hint: Use the graph to calculate the limit.) A)6
B)25
C)1
D)5
E)does not exist.
سؤال
Find the limit L. 
A)L = 9
B)L = 2
C)L = 7
D)L = 16
E)none of the above
A)L = 9
B)L = 2
C)L = 7
D)L = 16
E)none of the above
سؤال
The graph of 
is shown in the figure.Find 
such that if 
then 
A)
B)
C)
D)
E)None of the above
is shown in the figure.Find such that if then A)
B)
C)
D)
E)None of the above
سؤال
سؤال
سؤال
Find the limit L. 
A)L = 12
B)L = 6
C)L = 2
D)L = -4
E)none of the above
A)L = 12
B)L = 6
C)L = 2
D)L = -4
E)none of the above
سؤال
سؤال
سؤال
Determine the following limit.(Hint: Use the graph to calculate the limit.) 
A)-2
B)0
C)-4
D)2
E)does not exist
A)-2
B)0
C)-4
D)2
E)does not exist
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العب
ملء الشاشة (f)
Deck 1: Limits and Their Properties
1
Complete the table and use the result to estimate the limit.
A)-0.062500
B)0.067500
C)-0.192500
D)0.047500
E)-0.172500
A)-0.062500
B)0.067500
C)-0.192500
D)0.047500
E)-0.172500
-0.062500
2
Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the distance traveled in 20 seconds by an object moving with a velocity of feet
Per second.
A)calculus, 162.4485 ft
B)precalculus, 163.7985 ft
C)calculus, 165.4777 ft
D)precalculus, 165.4777 ft
E)precalculus, 162.4485 ft
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the distance traveled in 20 seconds by an object moving with a velocity of
feetPer second.
A)calculus, 162.4485 ft
B)precalculus, 163.7985 ft
C)calculus, 165.4777 ft
D)precalculus, 165.4777 ft
E)precalculus, 162.4485 ft
calculus, 165.4777 ft
3
Let Determine the following limit.(Hint: Use the graph to calculate the limit.)
A)5
B)4
C)3
D)0
E)does not exist
Determine the following limit.(Hint: Use the graph to calculate the limit.) A)5
B)4
C)3
D)0
E)does not exist
3
4
Consider the function and the point on the graph of
A)
B)
C)
D)
E)
and the point on the graph ofA)
B)
C)
D)
E)
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5
Complete the table and use the result to estimate the limit.
A)0.525000
B)0.275000
C)-0.100000
D)0.400000
E)-0.475000
A)0.525000
B)0.275000
C)-0.100000
D)0.400000
E)-0.475000
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6
Complete the table and use the result to estimate the limit.
A)
B)
C)0
D)0.5
A)
B)
C)0
D)0.5
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7
Use the rectangles in the graph given below to approximate the area of the region bounded by Round your answer to three decimal places.
A)2.481
B)6.371
C)3.585
D)6.872
E)6.903
Round your answer to three decimal places. A)2.481
B)6.371
C)3.585
D)6.872
E)6.903
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8
Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
A cyclist is riding on a path whose elevation is modeled by the function where are measured in miles.Find the rate of change of elevation when x = 4.
A)precalculus, 0.08
B)calculus, 0.2
C)calculus, 0.64
D)calculus, 0.08
E)precalculus, 0.2
Require calculus, use a graphical or numerical approach to estimate the solution.
A cyclist is riding on a path whose elevation is modeled by the function
where are measured in miles.Find the rate of change of elevation when x = 4. A)precalculus, 0.08
B)calculus, 0.2
C)calculus, 0.64
D)calculus, 0.08
E)precalculus, 0.2
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9
Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the area of the shaded region bounded by the triangle with vertices (0,0), (8,9), (17,0).
A)precalculus , 153
B)calculus , 229.5
C)precalculus , 76.5
D)precalculus , 229.5
E)calculus , 153
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the area of the shaded region bounded by the triangle with vertices (0,0), (8,9), (17,0).
A)precalculus , 153
B)calculus , 229.5
C)precalculus , 76.5
D)precalculus , 229.5
E)calculus , 153
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10
Determine the following limit.(Hint: Use the graph to calculate the limit.)
A)6
B)1
C)5
D)4
E)does not exist
A)6
B)1
C)5
D)4
E)does not exist
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11
Consider the function and the point on the graph of
A)m=0.1667
B)m=0.0832
C)m=0.3800
D)m=0.0556
E)m=0.0833
and the point on the graph ofA)m=0.1667
B)m=0.0832
C)m=0.3800
D)m=0.0556
E)m=0.0833
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12
on the graph of f. Find the
slope of the secant line passing through and for . Round your answer to
four decimal places.
Consider the function nd the point on the graph of f. Find the slope of the secant line passing through Round your answer to four decimal places.
A)m=0.1000
B)m=0.0122
C)m=0.01220
D)m=0.3133
slope of the secant line passing through and for . Round your answer to
four decimal places.
Consider the function
nd the point on the graph of f. Find the slope of the secant line passing through Round your answer to four decimal places. A)m=0.1000
B)m=0.0122
C)m=0.01220
D)m=0.3133
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13
Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
A cyclist is riding on a path whose elevation is modeled by the function where x and are measured in miles.Find the rate of change of elevation when x = 5.
A)calculus, 2
B)precalculus, 0.2
C)calculus, 0.2
D)precalculus, 2
E)precalculus, 0.45
Require calculus, use a graphical or numerical approach to estimate the solution.
A cyclist is riding on a path whose elevation is modeled by the function
where x and are measured in miles.Find the rate of change of elevation when x = 5. A)calculus, 2
B)precalculus, 0.2
C)calculus, 0.2
D)precalculus, 2
E)precalculus, 0.45
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14
Consider the function and the point on the graph of
A)10
B)3
C)8
D)2
E)9
and the point on the graph ofA)10
B)3
C)8
D)2
E)9
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15
Consider the function and the point n the graph of
A)3.5
B)2.0
C)3.0
D)4.5
E)9.0
and the point n the graph ofA)3.5
B)2.0
C)3.0
D)4.5
E)9.0
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16
Consider the function and the point on the graph of
A)
B)
C)
D)
E)
and the point on the graph ofA)
B)
C)
D)
E)
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17
Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the distance traveled in 16 seconds by an object traveling at a constant velocity of 20 feet per
Second.
A)calculus, 320 ft
B)calculus, 340 ft
C)precalculus, 320 ft
D)calculus, 640 ft
E)precalculus, 640 ft
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the distance traveled in 16 seconds by an object traveling at a constant velocity of 20 feet per
Second.
A)calculus, 320 ft
B)calculus, 340 ft
C)precalculus, 320 ft
D)calculus, 640 ft
E)precalculus, 640 ft
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18
Decide whether the following problem can be solved using precalculus, or whether calculus is required.If the problem can be solved using precalculus, solve it.If the problem seems to
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the area of the shaded region.
A)calculus , 11
B)precalculus , 11
C)precalculus , 13
D)calculus , 16
E)precalculus , 16
Require calculus, use a graphical or numerical approach to estimate the solution.
Find the area of the shaded region.
A)calculus , 11
B)precalculus , 11
C)precalculus , 13
D)calculus , 16
E)precalculus , 16
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19
Consider the function and the point P(64,8) on the graph of
A)0.0633 , -0.0627 , 0.0623
B)0.0633 , 0.0627 , 0.0623
C)0.0317 , 0.0314 , 0.0312
D)0.0633 , -0.0627 , -0.0623
E)-0.0317 , -0.0314 , -0.0312
and the point P(64,8) on the graph ofA)0.0633 , -0.0627 , 0.0623
B)0.0633 , 0.0627 , 0.0623
C)0.0317 , 0.0314 , 0.0312
D)0.0633 , -0.0627 , -0.0623
E)-0.0317 , -0.0314 , -0.0312
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20
Consider the length of the graph of Approximate the length of the curve by finding the sum of the lengths of four line segments, as shown in following
Figure.Round your answer to two decimal places.
A)6.11
B)8.12
C)5.66
D)8.49
E)7.11
Approximate the length of the curve by finding the sum of the lengths of four line segments, as shown in followingFigure.Round your answer to two decimal places.
A)6.11
B)8.12
C)5.66
D)8.49
E)7.11
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21
What is the limit of as x approaches
A)
B)
C)
D)
E)none of the above
as x approaches A)
B)
C)
D)
E)none of the above
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22
Let Determine the following limit.(Hint: Use the graph to calculate the limit.)
A)6
B)25
C)1
D)5
E)does not exist.
Determine the following limit.(Hint: Use the graph to calculate the limit.) A)6
B)25
C)1
D)5
E)does not exist.
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23
Find the limit L.
A)L = 9
B)L = 2
C)L = 7
D)L = 16
E)none of the above
A)L = 9
B)L = 2
C)L = 7
D)L = 16
E)none of the above
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24
The graph of is shown in the figure.Find such that if then
A)
B)
C)
D)
E)None of the above
is shown in the figure.Find such that if then A)
B)
C)
D)
E)None of the above
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25
A ring has a inner circumference of 10 centimeters.What is the radius of the ring? Round your answer to four decimal places.
A)0.7958 centimeter
B)3.1831 centimeters
C)1.5915 centimeters
D)1.7841 centimeters
E)10.1321 centimeters
A)0.7958 centimeter
B)3.1831 centimeters
C)1.5915 centimeters
D)1.7841 centimeters
E)10.1321 centimeters
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26
A sphere has a volume of 4.76 cubic inches.What is the radius of the sphere? Round your answer to four decimal places.
A)1.0435 inches
B)1.6565 inches
C)1.0660 inches
D)2.1320 inches
E)1.9335 inches
A)1.0435 inches
B)1.6565 inches
C)1.0660 inches
D)2.1320 inches
E)1.9335 inches
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27
Find the limit L.
A)L = 12
B)L = 6
C)L = 2
D)L = -4
E)none of the above
A)L = 12
B)L = 6
C)L = 2
D)L = -4
E)none of the above
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28
A sphere has a volume of 4.44 cubic inches.If the sphere's volume can vary between 3.64 cubic inches and 5.04 cubic inches , how can the radius vary? Round your answer to five
Decimal places.
A)Radius can vary between 0.93219 inch and 1.09691 inches.
B)Radius can vary between 0.21960 inch and 1.61960 inches.
C)Radius can vary between 1.69081 inches and 1.98957 inches.
D)Radius can vary between 1.51481 inches and 1.68837 inches.
E)Radius can vary between 0.95427 inch and 1.06361 inches.
Decimal places.
A)Radius can vary between 0.93219 inch and 1.09691 inches.
B)Radius can vary between 0.21960 inch and 1.61960 inches.
C)Radius can vary between 1.69081 inches and 1.98957 inches.
D)Radius can vary between 1.51481 inches and 1.68837 inches.
E)Radius can vary between 0.95427 inch and 1.06361 inches.
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29
A ring has a inner circumference of 9 centimeters.If the ring's inner circumference can vary between 8 centimeters and 10 centimeters how can the radius vary? Round your answer to
Five decimal places.
A)Radius can vary between 6.48456 centimeters and 10.13212 centimeters.
B)Radius can vary between 1.59577 centimeters and 1.78412 centimeters.
C)Radius can vary between 1.27324 centimeters and 1.59155 centimeters.
D)Radius can vary between 2.54648 centimeters and 3.18310 centimeters.
E)Radius can vary between 0.43239 centimeter and 2.43239 centimeters.
Five decimal places.
A)Radius can vary between 6.48456 centimeters and 10.13212 centimeters.
B)Radius can vary between 1.59577 centimeters and 1.78412 centimeters.
C)Radius can vary between 1.27324 centimeters and 1.59155 centimeters.
D)Radius can vary between 2.54648 centimeters and 3.18310 centimeters.
E)Radius can vary between 0.43239 centimeter and 2.43239 centimeters.
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30
Determine the following limit.(Hint: Use the graph to calculate the limit.)
A)-2
B)0
C)-4
D)2
E)does not exist
A)-2
B)0
C)-4
D)2
E)does not exist
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