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- 1. Multiple Choice
Match the correct polar equation with the following graph:r=1+cosθrsinθ=2r=1-2sinθr=2 - 2. Multiple ChoiceIdentify the polar equation:
r=1+sinθcardioidcirclelimacon with inner loopspiral - 3. Multiple ChoiceWhich point represents (2, π/6)FEBA
- 4. Multiple Choice
Which of the following could be the equation for...
r = 6 + 6 sin θ
r = 12 sin θ
r = 6 - 6 sin θ
r = 6 + 6 cos θ
- 5. Multiple ChoiceChoose a correct equation for the red circle.r = -3r = -3sinΘr = -3cosΘx² + y² = 3
- 6. Multiple ChoiceChoose a correct equation for the blue circle.r = 2r = 4r = 2sinΘx² + y² = 2
- 7. Multiple ChoiceChoose the correct equation.r = 3 + 2 cosθr = 2 + 3 cosθr = 2 + 2cosθr = 3cosθ
- 8. Multiple Choice
What is the equation?
Θ = π/4
Θ = -5π/4
Θ = -3π/4
Θ = 5π/4
- 9. Multiple ChoiceIdentify the polar equation:
r=4sin(5θ)roselemniscatespiralcircle - 10. Multiple ChoiceWhich point represents (5, π)FEBA
- 11. Multiple Choice
Describe the curve.
Rose with 4 leaves, Length 4
Rose with 8 leaves, Length 4
Cardioid with length 3
Inner loop limacon with lengths 3 and 4
- 12. Multiple Choice
Describe the curve.
Circle facing up with length 3
Circle facing down with length 3
Cardioid facing up with length 3
Cardioid facing down with length 3
- 13. Multiple ChoiceDetermine the polar equation of the given graph.r² = -9sin(2θ)r² = 9cos(2θ)r² = -9cos(2θ)r² = 9sin(2θ)
- 14. Multiple ChoiceDescribe the curveCircleCardioidRose with 5 leavesRose with 9 leaves
- 15. Multiple Choice
The graph is an example of
Spiral of Archimedes
Logarithmic Spiral
Spiral of Antiquity
Limax Spiral
- 16. Multiple Choice
What is the equation for this graph?
r2 = 9cos2θ
r2 = 9sin2θ
r2 = 3cosθ
r2 = 3sinθ
- 17. Multiple Choice
How do you write an ordered pair in polar coordinates?
(X, Y)
(θ, r)
(r,θ)
(Y_Y)
- 18. Multiple ChoiceWhich of these is an equation for this dimpled limaçon?r = 3 + 2 cosθr = 2 + 3 cosθr = 2 + 2cosθr = 2 - 3cosθ
- 19. Multiple ChoiceIdentify the polar equation:
r=1-3cosθLimacon with inner loopLimacon without inner looprosespiral - 20. Multiple ChoiceIdentify the polar equation:
r=1-3cosθLimacon with inner loopLimacon without inner looprosespiral - 21. Multiple Choice
What is the equation?
r = 4
r = 8
r = 4sin(Θ)
r = 8sin(Θ)
- 22. Multiple Choice
What is the equation?
r = 4sin(Θ)
r = -2sin(Θ)
r = 2cos(Θ)
r = -4cos(Θ)
- 23. Multiple Choice
The graph of r = 3 - 5cos(Θ) is a limacon with an inner loop. What is the diameter of the outer and inner loops?
Outer Loop: 8, Inner Loop: 2
Outer Loop: 4, Inner Loop: 1
Outer Loop: 16, Inner Loop: 4
Outer Loop: 15, Inner Loop: 2
- 24. Multiple Choice
What kind of graph will you get from r = 2 + 6cos(Θ)?
A limacon with an inner loop
A dimpled limacon
A cardiod (heart)
A circle
- 25. Multiple Choice
What kind of graph will you get from r = 2 + 6cos(Θ)?
A limacon with an inner loop
A dimpled limacon
A cardiod (heart)
A circle
- 26. Multiple Choice
What kind of graph will you get from the equation r = 6 + 2cos(Θ)?
A limacon with an inner loop
A dimpled limacon
A cardiod
A line
- 27. Multiple Choice
What kind of graph will you get from the equation r = 2 + 2cos(Θ)?
A limacon with an inner loop
A dimpled limacon
A cardiod
A flower
- 28. Multiple Choice
What is the difference between the polar graphs of r = 2 + 6cos(Θ) and
r = 2 - 6cos(Θ)?
Both are on the x-axis, but one faces right while the other faces left
Both are on the y-axis, but one faces up while the other faces down
One is on the x-axis while the other is on the y-axis
They are the same!
- 29. Multiple Choice
This particular equation generates what graph
- 30. Multiple ChoiceWhich equation represents the polar graph?r = sin 4θr = 6 sin 2θr = 6 cos 4θr = cos 4θ
- 31. Multiple Choice
Choose a correct equation for this rose curve.
r = sin(7θ)
r = 7sin(2θ)
r = 2sin(7θ)
r = 2sin(14θ)
- 32. Multiple Choice
Identify the polar equation:
r = 4sin(5θ)
rose
lemniscate
spiral
circle
- 33. Multiple Choice
Identify the polar equation:
r² = 9cos(2θ)
lemniscate
limacon with inner loop
cardioid
rose
- 34. Multiple ChoiceDescribe the curveCardioidCircleInner loop limaconRose with 6 leaves
- 35. Multiple Choice
The following equation would graph what shape?
3 leaf rose
6 leaf rose
2 leaf rose
4 leaf rose
- 36. Multiple Choice
Which equation below generates this particular graph?
- 37. Multiple ChoiceDetermine the polar equation of the given graph.r² = -9sin(2θ)r² = 9cos(2θ)r² = -9cos(2θ)r² = 9sin(2θ)
- 38. Multiple ChoiceThe polar coordinate system is based on a point, called the ______ and a ray, called the _______ axis.pole, polarradius, xpole, xradias, polar
- 39. Multiple Choice
Which of the following are the coordinates of the point.
- 40. Multiple Choice
Which of the following are the coordinates of the point.
- 41. Multiple Choice
Which of the following are the coordinates of the point.
- Answer choicesTagsAnswer choicesTags