calculus i jeopardy created fall 2002 by anne dudley glendale community college modified spring 2013...
TRANSCRIPT
![Page 1: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/1.jpg)
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
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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
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Limits $100Limits $100
What is
ANSWER
limx 0
sin xx
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Limits $200Limits $200
What is
ANSWER
2
lnlimx
x
x
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Limits $300Limits $300
What is
ANSWER
limx
3x3 4x2 7
5x2 6x3
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Limits $400Limits $400
What is
ANSWER
limx 0
(1 x)1x
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Derivatives $100Derivatives $100
What is the derivative of
Simplify your answer.
ANSWER
y cot(3x)
![Page 8: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/8.jpg)
Derivatives $200Derivatives $200
What
ANSWER
What is the derivative of
Simplify your answer.
y 9x2 4
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Derivatives $300Derivatives $300
What
ANSWER
What is the derivative of
Simplify your answer.
y x x ln x
![Page 10: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/10.jpg)
Derivatives $400Derivatives $400
What
ANSWER
What is the derivative of
Simplify your answer.
y2 2xy 5
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Applications $100Applications $100
For a function to have a minimum or a maximum, what has to happen to the derivative?
ANSWER
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Applications $200Applications $200
What is a place on a curve called where concavity switches?
ANSWER
![Page 13: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/13.jpg)
Applications $300Applications $300
What is the maximum area that can be enclosed with 100 feet of fencing, given the region below?
ANSWER
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Applications $400Applications $400
List three words that you might find in an application problem that would signal you to take the derivative.
ANSWER
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Integration $100Integration $100
What integral will measure the area shown below?
ANSWER
2 5
y = f(x)
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Integration $200Integration $200
Evaluate
ANSWER
sin(3 )x dx
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Integration $300Integration $300
Find and simplify:
ANSWER
ddx
tdt5
4 x
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Integration $400Integration $400
Evaluate.
ANSWER
ln xdx
x
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Algebra $100Algebra $100
Simplify completely:
ANSWER
36x2 18
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Algebra $200Algebra $200
Simplify completely:
ANSWER
2x 3
2
32
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Algebra $300Algebra $300
Simplify completely:
ANSWER
5 4 22 8
3
x x x
x
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Algebra $400Algebra $400
Factor completely:
ANSWER
x3(2x 3) 1
2 (2x 3)1
2 (3x2 )
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MISC $100MISC $100
Complete the square?
ANSWER
22 12 7x x
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MISC $200MISC $200
Evaluate:
ANSWER
1cos(sin (1/ 2))
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MISC $300MISC $300
Which is a better way to approximate an area, Trapezoid or Simpson’s Rule?
ANSWER
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MISC $400MISC $400
How many different families of integrals have we learned this semester?
ANSWER
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Limits $100Limits $100AnswerAnswer
Back to Jeopardy
limx 0
sin xx
1
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Limits $200Limits $200AnswerAnswer
Back to Jeopardy
2
lnlim 0x
x
x
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Limits $300Limits $300AnswerAnswer
Back to Jeopardy
limx
3x3 4x2 7
5x2 6x3 12
![Page 30: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/30.jpg)
Limits $400Limits $400AnswerAnswer
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limx 0
(1 x)1x e
![Page 31: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/31.jpg)
Derivatives $100Derivatives $100AnswerAnswer
The derivative is
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y 3csc2 (3x)
![Page 32: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/32.jpg)
Derivatives $200Derivatives $200AnswerAnswer
The derivative is
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9x
9x2 4
![Page 33: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/33.jpg)
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
![Page 35: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/35.jpg)
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
Back to Jeopardy
f(x)dx2
5
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Integration $200Integration $200AnswerAnswer
Back to Jeopardy
13 cos(3x)C
![Page 41: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/41.jpg)
Integration $300Integration $300AnswerAnswer
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8 x
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Integration $400Integration $400AnswerAnswer
Back to Jeopardy
2ln 1ln
2
xdx x C
x
![Page 43: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/43.jpg)
Algebra $100Algebra $100AnswerAnswer
Back to Jeopardy
36x2 18 3 4x2 2
![Page 44: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/44.jpg)
Algebra $200Algebra $200AnswerAnswer
Back to Jeopardy
43x x
OR 4
3x3
2
![Page 45: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/45.jpg)
Algebra $300Algebra $300AnswerAnswer
Back to Jeopardy
4 3 2 1712 2 6 19 573
x x x xx
![Page 46: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/46.jpg)
Algebra $400Algebra $400AnswerAnswer
Back to Jeopardy
2(7 9)
2 3
x x
x
![Page 47: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/47.jpg)
MISC $100MISC $100AnswerAnswer
Back to Jeopardy
22( 3) 25x
![Page 48: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/48.jpg)
MISC $200MISC $200AnswerAnswer
Back to Jeopardy
1 3cos(sin (1/ 2))
2
![Page 49: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/49.jpg)
MISC $300MISC $300AnswerAnswer
Simpson’s (a curve is better than straight lines)
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![Page 50: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/50.jpg)
MISC $400MISC $400AnswerAnswer
Five (power, exp, trig, ln, inverses)
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![Page 51: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/51.jpg)
Final Jeopardy QuestionFinal Jeopardy Question
2
2 5
2 2
xdx
x x
Evaluate:
Answer
![Page 52: Calculus I Jeopardy Created Fall 2002 By Anne Dudley Glendale Community College Modified Spring 2013 by Michael Holtfrerich](https://reader035.vdocument.in/reader035/viewer/2022070323/56649dc55503460f94ab95d4/html5/thumbnails/52.jpg)
Final Jeopardy AnswerFinal Jeopardy Answer
2 1ln 2 2 7 ( 1)x x Tan x C
The End
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