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Identify and graph the polar equation.

Question : Identify and graph the polar equation. : 2162209

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Identify and graph the polar equation.

1) r = 2 + 2cosθ

A)

cardioid

B)

cardioid

C)

cardioid

D)

cardioid

2) r = 3 + 2cosθ

A)

limacon without inner loop

B)

limacon with inner loop

C)

limacon with inner loop

D)

limacon without inner loop

3) r = 3 + 4sinθ

A)

limacon with inner loop

B)

limacon with inner loop

C)

limacon without inner loop

D)

limacon without inner loop

4) r = 4sin(2θ)

A)

rose with two petals

B)

rose with four petals

C)

circle

D)

lemniscate

5) r2 = 3sin(2θ)

A)

lemniscate

B)

rose with four petals

C)

lemniscate

D)

rose with four petals

6) r = 4θ

A)

logarithmic spiral

B)

logarithmic spiral

C)

logarithmic spiral

D)

logarithmic spiral

The polar equation of the graph is either r = a + bcosθ or r = a + bsinθ, a > 0, b > 0. Match the graph to one of the equations.

7)

A) r = 2 + 4sinθ

B) r = 4 + 2cosθ

C) r = 4 + 2sinθ

D) r = 2 + 4cosθ

8)

A) r = 4 + 3cosθ

B) r = 4 + 3sinθ

C) r = 3 + 4sinθ

D) r = 3 + 4cosθ

9)

A) r = 3 + 4sinθ

B) r = 4 + 3cosθ

C) r = 4 + 3sinθ

D) r = 3 + 4cosθ

10)

A) r = 4 + 3sinθ

B) r = 3 + 4cosθ

C) r = 3 + 4sinθ

D) r = 4 + 3cosθ

Graph the polar equation.

11) r = 1 - sinθ

A)

B)

C)

D)

12) r = 3/1 - cosθ

A)

B)

C)

D)

13) r = 2/1 - sinθ

A)

B)

C)

D)

14) r = 2/1 – 2sinθ

A)

B)

C)

D)

15) r = 4/4 – 2cosθ

A)

B)

C)

D)

16) r = 5/5 – 3sinθ

A)

B)

C)

D)

17) r = θ, θ ≥ 0

A)

B)

C)

D)

18) r = 2/θ

A)

B)

C)

D)

19) r = cscθ - 2, 0 < θ < π

A)

B)

C)

D)

20) r = sinθtanθ

A)

B)

C)

D)

21) r = tanθ, - p/2 < θ < p/2

A)

B)

C)

D)

Solution
5 (1 Ratings )

Solved
Mathematics 4 Months Ago 49 Views
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