Deck 8: Polar Coordinates; Vectors

Question 1

Plot the point given in polar coordinates.

Answer 1

C

Question 2

Match the point in polar coordinates with either A, B, C, or D on the graph.

A) A
B) B
C) C
D) D

Answer 2

B

Question 3

Plot the point given in polar coordinates.

Answer 3

D

Question 4

Plot the point given in polar coordinates.

Question 5

Plot the point given in polar coordinates.

Question 6

Plot the point given in polar coordinates.

Question 7

Plot the point given in polar coordinates.

Question 8

Match the point in polar coordinates with either A, B, C, or D on the graph.

A) A
B) B
C) C
D) D

Question 9

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.

Question 10

Plot the point given in polar coordinates.

Question 11

Plot the point given in polar coordinates.

Question 12

Plot the point given in polar coordinates.

Question 13

Match the point in polar coordinates with either A, B, C, or D on the graph.

A) A
B) B
C) C
D) D

Question 14

Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.

Question 15

Plot the point given in polar coordinates.

Question 16

Plot the point given in polar coordinates.

Question 17

Plot the point given in polar coordinates.

Question 18

Plot the point given in polar coordinates.

Question 19

Plot the point given in polar coordinates.

Question 20

Plot the point given in polar coordinates.

Question 21

Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.

Question 22

Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.

Question 23

Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.

- $r=6 \cos \theta$

A)

$( x - 3 ) ^ { 2 } + y ^ { 2 } = 9 ;$ circle, radius 3 ,
center at $( 3,0 )$ in rectangular coordinates

B)


$x ^ { 2 } + ( y + 3 ) ^ { 2 } = 9 ;$ circle, radius 3,
center at $( 0 , - 3 )$ in rectangular coordinates

C)

$( x + 3 ) ^ { 2 } + y ^ { 2 } = 9$ ; circle, radius 3
center at $( - 3,0 )$ in rectangular coordinates

D)


$$x ^ { 2 } + ( y - 3 ) ^ { 2 } = 9 \text {; circle, radius } 3 \text {, }$$

center at $( 0,3 )$ in rectangular coordinates

$( x + 3 ) ^ { 2 } + y ^ { 2 } = 9$ ; circle, radius 3 $\quad$$\quad$$\quad$$\quad$$\quad$$x ^ { 2 } + ( y - 3 ) ^ { 2 } = 9 \text {; circle, radius } 3 \text {, }$
center at $( - 3,0 )$ in rectangular coordinates $\quad$$\quad$$\quad$ center at $( 0,3 )$ in rectangular coordinates

Question 24

Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.

Question 25

The rectangular coordinates of a point are given. Find polar coordinates for the point.

Question 26

Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.

Question 27

The rectangular coordinates of a point are given. Find polar coordinates for the point.

Question 28

Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.

- $$r = 6 \sin \theta$$

A)

$$x^{2}+(y-3)^{2}=9 \text {; circle, radius } 3$$
center at $(0,3)$ in rectangular coordinates
B)

$(x+3)^{2}+y^{2}=9$ ; circle, radius 3 center at $(-3,0)$ in rectangular coordinates


C)

$$(x-3)^{2}+y^{2}=9 \text {; circle, radius } 3$$
center at $(3,0)$ in rectangular coordinates



D)

$$x^{2}+(y+3)^{2}=9 \text {; circle, radius } 3 \text {, }$$
center at $(0,-3)$ in rectangular coordinates

$( x - 3 ) ^ { 2 } + y ^ { 2 } = 9 ;$ circle, radius 3 $\quad$$\quad$$\quad$$\quad$$x ^ { 2 } + ( y + 3 ) ^ { 2 } = 9$ ; circle, radius 3 ,
center at $( 3,0 )$ in rectangular coordinates $\quad$$\quad$$\quad$ center at $( 0 , - 3 )$ in rectangular coordinates

Question 29

Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.

Question 30

Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.

Question 31

Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.

Question 32

Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.

Question 33

The rectangular coordinates of a point are given. Find polar coordinates for the point.

Question 34

The rectangular coordinates of a point are given. Find polar coordinates for the point.

Question 35

Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.

Question 36

The rectangular coordinates of a point are given. Find polar coordinates for the point.

Question 37

The rectangular coordinates of a point are given. Find polar coordinates for the point.

Question 38

The rectangular coordinates of a point are given. Find polar coordinates for the point.

Question 39

Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.

Question 40

Choose the one alternative that best completes the statement or answers the question.
The polar coordinates of a point are given. Find the rectangular coordinates of the point.

Question 41

Test the equation for symmetry with respect to the given axis, line, or pole.

Question 42

Test the equation for symmetry with respect to the given axis, line, or pole.

Question 43

Test the equation for symmetry with respect to the given axis, line, or pole.

Question 44

Match the graph to one of the polar equations.

Question 45

Test the equation for symmetry with respect to the given axis, line, or pole.

Question 46

Test the equation for symmetry with respect to the given axis, line, or pole.

Question 47

Match the graph to one of the polar equations.

Question 48

Test the equation for symmetry with respect to the given axis, line, or pole.

Question 49

Match the graph to one of the polar equations.

Question 50

Test the equation for symmetry with respect to the given axis, line, or pole.

Question 51

Match the graph to one of the polar equations.

Question 52

Identify and graph the polar equation.

Question 53

Match the graph to one of the polar equations.

Question 54

Test the equation for symmetry with respect to the given axis, line, or pole.

Question 55

Identify and graph the polar equation.

Question 56

Match the graph to one of the polar equations.

Question 57

Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.

Question 58

Test the equation for symmetry with respect to the given axis, line, or pole.

Question 59

Identify and graph the polar equation.

Question 60

Test the equation for symmetry with respect to the given axis, line, or pole.

Question 61

Identify and graph the polar equation.

Question 62

Graph the polar equation.

Question 63

Graph the polar equation.

Question 64

Plot the complex number in the complex plane.

Question 65

Graph the polar equation.

Question 66

Plot the complex number in the complex plane.

Question 67

Plot the complex number in the complex plane.

Question 68

Plot the complex number in the complex plane.

Question 69

Graph the polar equation.

Question 70

Graph the polar equation.

Question 71

Plot the complex number in the complex plane.

Question 72

Identify and graph the polar equation.

Question 73

Graph the polar equation.

Question 74

Graph the polar equation.

Question 75

Graph the polar equation.

Question 76

Write the complex number in rectangular form.

Question 77

Graph the polar equation.

Question 78

Identify and graph the polar equation.

Question 79

Graph the polar equation.

Question 80

Graph the polar equation.