Calculus I JeopardyCalculus I Jeopardy
Created Fall 2002Created Fall 2002
By Anne DudleyBy Anne Dudley
Glendale Community CollegeGlendale Community College
Modified Spring 2013 by Michael Modified Spring 2013 by Michael HoltfrerichHoltfrerich
Calculus Jeopardy Calculus Jeopardy FINAL
LIMITSDERIVA-TIVES
APPL. OF DERIVA-TIVES
INTE-GRATION
ALGE-BRA
MISC.
$100$100 $100$100 $100$100 $100$100 $100$100 $100$100
$200$200 $200$200 $200$200 $200$200 $200$200 $200$200
$300$300 $300$300 $300$300 $300$300 $300$300 $300$300
$400$400 $400$400 $400$400 $400$400 $400$400 $400$400
Limits $100Limits $100
What is
ANSWER
limx 0
sin xx
Limits $200Limits $200
What is
ANSWER
2
lnlimx
x
x
Limits $300Limits $300
What is
ANSWER
limx
3x3 4x2 7
5x2 6x3
Limits $400Limits $400
What is
ANSWER
limx 0
(1 x)1x
Derivatives $100Derivatives $100
What is the derivative of
Simplify your answer.
ANSWER
y cot(3x)
Derivatives $200Derivatives $200
What
ANSWER
What is the derivative of
Simplify your answer.
y 9x2 4
Derivatives $300Derivatives $300
What
ANSWER
What is the derivative of
Simplify your answer.
y x x ln x
Derivatives $400Derivatives $400
What
ANSWER
What is the derivative of
Simplify your answer.
y2 2xy 5
Applications $100Applications $100
For a function to have a minimum or a maximum, what has to happen to the derivative?
ANSWER
Applications $200Applications $200
What is a place on a curve called where concavity switches?
ANSWER
Applications $300Applications $300
What is the maximum area that can be enclosed with 100 feet of fencing, given the region below?
ANSWER
Applications $400Applications $400
List three words that you might find in an application problem that would signal you to take the derivative.
ANSWER
Integration $100Integration $100
What integral will measure the area shown below?
ANSWER
2 5
y = f(x)
Integration $200Integration $200
Evaluate
ANSWER
sin(3 )x dx
Integration $300Integration $300
Find and simplify:
ANSWER
ddx
tdt5
4 x
Integration $400Integration $400
Evaluate.
ANSWER
ln xdx
x
Algebra $100Algebra $100
Simplify completely:
ANSWER
36x2 18
Algebra $200Algebra $200
Simplify completely:
ANSWER
2x 3
2
32
Algebra $300Algebra $300
Simplify completely:
ANSWER
5 4 22 8
3
x x x
x
Algebra $400Algebra $400
Factor completely:
ANSWER
x3(2x 3) 1
2 (2x 3)1
2 (3x2 )
MISC $100MISC $100
Complete the square?
ANSWER
22 12 7x x
MISC $200MISC $200
Evaluate:
ANSWER
1cos(sin (1/ 2))
MISC $300MISC $300
Which is a better way to approximate an area, Trapezoid or Simpson’s Rule?
ANSWER
MISC $400MISC $400
How many different families of integrals have we learned this semester?
ANSWER
Limits $100Limits $100AnswerAnswer
Back to Jeopardy
limx 0
sin xx
1
Limits $200Limits $200AnswerAnswer
Back to Jeopardy
2
lnlim 0x
x
x
Limits $300Limits $300AnswerAnswer
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limx
3x3 4x2 7
5x2 6x3 12
Limits $400Limits $400AnswerAnswer
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limx 0
(1 x)1x e
Derivatives $100Derivatives $100AnswerAnswer
The derivative is
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y 3csc2 (3x)
Derivatives $200Derivatives $200AnswerAnswer
The derivative is
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9x
9x2 4
Derivatives $300Derivatives $300AnswerAnswer
The derivative is
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ln(x)
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Derivatives $400Derivatives $400AnswerAnswer
The derivative is
yy
y x
Applications $100Applications $100AnswerAnswer
The derivative must equal ZERO or possibly undefined.
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Applications $200Applications $200AnswerAnswer
A place on the curve where concavity switched is called an INFLECTION POINT.
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Applications $300Applications $300AnswerAnswer
Area is 1250/3 square feet.
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Applications $400Applications $400AnswerAnswer
Some possibilities are:
Minimize, Maximize, Optimize,
Velocity, Acceleration,
Rate of Change, Slope of Tangent line
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Integration $100Integration $100AnswerAnswer
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f(x)dx2
5
Integration $200Integration $200AnswerAnswer
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13 cos(3x)C
Integration $300Integration $300AnswerAnswer
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8 x
Integration $400Integration $400AnswerAnswer
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2ln 1ln
2
xdx x C
x
Algebra $100Algebra $100AnswerAnswer
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36x2 18 3 4x2 2
Algebra $200Algebra $200AnswerAnswer
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43x x
OR 4
3x3
2
Algebra $300Algebra $300AnswerAnswer
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4 3 2 1712 2 6 19 573
x x x xx
Algebra $400Algebra $400AnswerAnswer
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2(7 9)
2 3
x x
x
MISC $100MISC $100AnswerAnswer
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22( 3) 25x
MISC $200MISC $200AnswerAnswer
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1 3cos(sin (1/ 2))
2
MISC $300MISC $300AnswerAnswer
Simpson’s (a curve is better than straight lines)
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MISC $400MISC $400AnswerAnswer
Five (power, exp, trig, ln, inverses)
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Final Jeopardy QuestionFinal Jeopardy Question
2
2 5
2 2
xdx
x x
Evaluate:
Answer
Final Jeopardy AnswerFinal Jeopardy Answer
2 1ln 2 2 7 ( 1)x x Tan x C
The End
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