Graphs of Polar Equations Answers…

1

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Determine which equation is belongs to the graph of the limacon curve below. [-5,5] by [-5,5]

A

r = 3 - 2 cos

B

r = 3 - sin

C

r = 3 - cos

D

r = 2 - 2 cos

2

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Find the length of each petal of the polar curve r = 6 - 4 sin4. Note that this means the distance from the pole to the farthest point on the petal, not the arc length.

A

10

B

2

C

6

D

4

3

Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no asymptotes.

Answer not available

4

For what values of (0) do maximum r-values occur on the graph the polar equation r = 4 - 3 sin3? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.a.c.b.d.

A

B

C

D

5

For what values of (0) do maximum r-values occur on the graph the polar equationr = 4 + 3 sin3? Note that the maximum r-value occurs at a point that is the maximum distance from the pole.a.c.b.d.

A

B

C

D

6

The graph of r = 2 cos5 is symmetric about the __________.

A

y-axis only

B

x-axis only

C

Origin only

D

No symmetry

7

Which is the graph of the rose curve r = 4 cos2, 0?

A

[-4,4] by [-4,4]

B

[-4,4] by [-4,4]

C

[-4,4] by [-4,4]

D

[-4,4] by [-4,4]

8

Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no asymptotes.

Answer not available

9

Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no asymptotes.

Answer not available

10

Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no asymptotes.

Answer not available

Graphs of Polar Equations Answers

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