Quiz about Polar Curves Review

Question 1

Describe the polar curve: r = 4cos(4 $$ heta$$ )

Accepted Answer

Rose curve with 8 petals

Answer

cardioid with length of 4

Answer

Rose curve with four petals

Answer

looped limacon

Question 2

Identify the type of polar curve: r = 3sin(3 $$ heta$$ )

Accepted Answer

Rose curve with three petals

Answer

cardioid with length of 3

Answer

Rose curve with 6 petals

Answer

looped limacon

Question 3

What is the nature of the polar curve: r = 5 + 5cos( $$ heta$$ )

Accepted Answer

cardioid

Answer

Rose curve with 5 petals

Answer

limacon with an inner loop

Answer

circle

Question 4

Determine the type of polar curve: r = 2 - 2sin( $$ heta$$ )

Accepted Answer

cardioid

Answer

Rose curve with 4 petals

Answer

limacon with an inner loop

Answer

spiral

Question 5

When a < b in the function $$r=a+b\sin\left( heta ight)$$ you will ALWAYS get a LOOP.

Accepted Answer

True

Answer

False

Question 6

In what quadrant would the following coordinate be plotted:

$$\left(-2,\ \frac{\pi}{3}\right)$$

Accepted Answer

3rd quadrant

Answer

1st quadrant

Answer

2nd quadrant

Answer

4th quadrant

Question 7

What is the location of the following polar coordinate:

$$\left(-3,\ \pi\right)$$

Accepted Answer

On the right side horizontal axis

Answer

On the left side horizontal axis

Answer

On the top vertical axis

Answer

On the bottom Vertical axis

Question 8

Choose all the correct statements for the following polar curve:

$$r=4+3\cos\left( heta ight)$$

Accepted Answer

Will NOT have a loop

Accepted Answer

Is called a Dented Limacon

Answer

Has loop with size of 1

Answer

Will intersect the Pole at some point

Question 9

Select ALL possible correct statements for the following polar curve:

$$r=4\cos\left(3 heta ight)$$

Accepted Answer

Petals have a length of 4

Accepted Answer

Has 3 petals

Answer

Has 6 petals

Answer

Has 8 petals

Question 10

What is the symmetry of the polar curve:

$$y=3+3\sin\left( heta ight)$$

Accepted Answer

Along the vertical axis

Answer

Along the horizontal axis

Answer

Has NO symmetry

Answer

Along BOTH axes

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