jeopardy! for the classroom. real numbers complex numbers polar equations polar graphs operations w/...
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![Page 1: Jeopardy! for the Classroom. Real Numbers Complex Numbers Polar Equations Polar Graphs Operations w/ Complex Numbers C & V 100 200 300 400 500](https://reader035.vdocument.in/reader035/viewer/2022062409/5697c01f1a28abf838cd1e64/html5/thumbnails/1.jpg)
Jeopardy!for the Classroom
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RealNumbers
ComplexNumbers
PolarEquations
PolarGraphs
Operations w/
ComplexNumbers
C & V
100 100 100 100 100 100
200 200 200 200 200 200
300 300 300 300 300 300
400 400 400 400 400 400
500 500 500 500 500 500
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The polar form of(-3,0)
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What is (3, π) or (3, 180°)?
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The rectangular form of (-2, 3π/2)
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What is (0, 2)?
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The exactrectangular form of
(4, -5π/6)
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What is (-2√3, -2)?
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The exact polar form of
(-3, 3)
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What is (3√2, 135°)?
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The rectangular form of (-5, π/10)
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What is (-4.76, -1.55)?
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The exact polar form of 1 - i
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What is√2(cos 315°+ i sin 315°)?
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The exact polar form of -1 + √3i
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What is2(cos 120° + i sin 120°)?
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The exact rectangular form of
6(cos 4π/3 + i sin 4π/3)
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What is (-3, -3√3)?
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The rectangular form of 5(cos 3π/5 + i sin 3π/5)
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What is (-1.55, 4.76)?
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The polar form of -4
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What is 4(cos π + i sin π)?
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The rectangular form of
r cos Θ = 2
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What is x = 2?
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The polar form of x2 + y2 = 9
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What is r = 3?
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The rectangular form of r = - 7 sin Θ
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What is x2 + y2 = -7y?
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The polar form of y = -√3 x
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What is Θ = 2π/3?
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The rectangular form of r sec Θ = 3
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What is x2 + y2 = 3x?
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The center and radius of
r = -2 sin Θ
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What are(0, -1) and 1?
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The position ofthe first petal of
r = 3 sin 3Θ
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What is 30°?
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The shape of the graph of r = 4 – 4 sin Θ
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What is a cardioid?
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The number of petals on the graph ofr2 = 4 sin 2Θ
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What is two?
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The shape of the graph of r = 3 – 4 cos Θ
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What is a limaçon with a loop?
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The number of complex roots of
-32i1/5
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What is five?
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z·w ifz = 2(cos 50°+ i sin 50°)
w = 3(cos 160° + i sin 160°)
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What is 6(cos 210° + i sin 210°)?
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Daily Double
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The standard form a + bi of
[5(cos 2π/3 + i sin 2π/3)]3
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What is 125?
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z/w in rectangular form ifz = 3(cos 40°+ i sin 40°)
w = 6(cos 160° + i sin 160°)
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What is -1/4 - √3/4 i?
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The complex cube roots of -2 – 2i
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What are√2(cos 75° + i sin 75°)
√2(cos 195° + i sin 195°) √2(cos 315° + i sin 315°)?
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The letters used to represent polar
coordinates
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What are r and Θ?
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The name of the origin in polar coordinates
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What is the pole?
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The name of the graph that is shaped like a
propeller
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What is a lemniscate?
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The name of the distance from the origin to the point representing a
complex number
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What is the magnitude or modulus?
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The theorem that is used to raise a complex
number to a power
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What is DeMoivre’s?
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Final Jeopardy!
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Concepts and Vocabulary
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The difference between
rectangular and polar
coordinates
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What is measuring a horizontal and vertical
distance from the origin vs. measuring an angle
made with the polar axis and a distance from
the pole?