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Calculus 2 : Graphing Polar Form

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Example Questions

Example Question #21 : Graphing Polar Form

In which quadrant does the polar coordinate terminate?

(3,70^o)

Possible Answers:

III

Correct answer:

Explanation:

The coordinate (3,70^o) goes to the right units from the origin and is rotated 70^o counter-clockwise, terminating in

$Quadrant \,I$

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Example Question #22 : Graphing Polar Form

In which quadrant does the polar coordinate terminate?

(4,460^o)

Possible Answers:

III

Correct answer:

Explanation:

The coordinate (4,460^o) goes to the right units from the origin and is rotated 460^o counter-clockwise, terminating in

$Quadrant \,II$

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Example Question #23 : Graphing Polar Form

In which quadrant does the polar coordinate terminate?

(-2,45^o)

Possible Answers:

III

Correct answer:

III

Explanation:

The coordinate (-2,45^o) goes to the left units from the origin and is rotated 45^o counter-clockwise, terminating in

$Quadrant \,III$

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Example Question #24 : Graphing Polar Form

In which quadrant is the polar coordinate located?

(-3, 30^o)

Possible Answers:

III

Correct answer:

III

Explanation:

The polar coordinate

(-3, 30^o)

is graphed by moving units to the left of the origin and rotating 30^o counter-clockwise, resulting in

$Quadrant\,III$

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Example Question #25 : Graphing Polar Form

In which quadrant is the polar coordinate located?

(2, 45^o)

Possible Answers:

III

Correct answer:

Explanation:

The polar coordinate

(2, 45^o)

is graphed by moving units to the right of the origin and rotating 45^o counter-clockwise, resulting in

$Quadrant\,I$

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Example Question #26 : Graphing Polar Form

In which quadrant is the polar coordinate located?

(4, 100^o)

Possible Answers:

III

Correct answer:

Explanation:

The polar coordinate

(4, 100^o)

is graphed by moving units to the right of the origin and rotating 100^o counter-clockwise, resulting in

$Quadrant\,II$

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Example Question #27 : Graphing Polar Form

In which quadrant is the polar coordinate located?

(1,315^o)

Possible Answers:

III

Correct answer:

Explanation:

The polar coordinate

(1, 315^o)

is graphed by moving unit to the right of the origin and rotating 315^o counter-clockwise, resulting in

$Quadrant\,IV$

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Example Question #28 : Graphing Polar Form

Graph the following relationship in polar coordinates for $0\leq \theta\leq\pi/2$ :

$r(\theta)=2\sin{4\theta}$ ;

In which quadrants does the graph appear?

Possible Answers:

I and II

III and IV

II and IV

I and IV

I and III

Correct answer:

I and III

Explanation:

Looking at the graph of

$r(\theta)=2\sin{4\theta}$

with polar coordinates

$0\leq \theta\leq\pi/2$

Screen shot 2016 02 18 at 8.58.38 am

It is seen that the graph lies in quadrant one and three.

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Calculus 2 : Graphing Polar Form

Study concepts, example questions & explanations for Calculus 2

All Calculus 2 Resources

Example Questions

Example Question #21 : Graphing Polar Form

Example Question #22 : Graphing Polar Form

Example Question #23 : Graphing Polar Form

Example Question #24 : Graphing Polar Form

Example Question #25 : Graphing Polar Form

Example Question #26 : Graphing Polar Form

Example Question #27 : Graphing Polar Form

Example Question #28 : Graphing Polar Form

All Calculus 2 Resources

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