Calculus 2 : Polar Form

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #81 : Polar Form

Convert the following cartesian coordinates into polar form:

Possible Answers:

Correct answer:

Explanation:

Cartesian coordinates have  and , represented as . Polar coordinates have 

 is the hypotenuse, and  is the angle.

Solution:

 

 

Example Question #82 : Polar Form

Convert the following cartesian coordinates into polar form:

Possible Answers:

Correct answer:

Explanation:

Cartesian coordinates have  and , represented as . Polar coordinates have 

 is the hypotenuse, and  is the angle.

Solution:

 

Example Question #251 : Parametric, Polar, And Vector

Convert the following cartesian coordinates into polar form:

Possible Answers:

Correct answer:

Explanation:

Cartesian coordinates have  and , represented as . Polar coordinates have 

 is the hypotenuse, and  is the angle.

Solution:

 

Example Question #252 : Parametric, Polar, And Vector

Given  calculate  in polar form if x=9

Possible Answers:

Correct answer:

Explanation:

You need to calculate theta. Before you do so, first find  and . You are given  and a function , so plug in  into .

After you have  and , use the trig function .

Solution:

Example Question #253 : Parametric, Polar, And Vector

Given

 calculate  in polar form if 

Possible Answers:

Correct answer:

Explanation:

You need to calculate . Before you do so, first find  and . You are given  and a function , so plug in  into .

After you have  and , use the trig function .

Solution:

Example Question #254 : Parametric, Polar, And Vector

Given  calculate  in polar form if 

Possible Answers:

Correct answer:

Explanation:

You need to calculate . Before you do so, first find  and . You are given  and a function , so plug in  into .

After you have  and , use the trig function .

Solution:

Example Question #81 : Polar Form

Given  calculate  in polar form if 

Possible Answers:

Correct answer:

Explanation:

You need to calculate . Before you do so, first find  and . You are given  and a function , so plug in  into .

After you have  and , use the trig function .

Solution:

Example Question #256 : Parametric, Polar, And Vector

Calculate the polar form hypotenuse of the following cartesian equation:

Possible Answers:

Correct answer:

Explanation:

In a cartesian form, the primary parameters are  and . In polar form, they are  and 

 is the hypotenuse, and  is the angle created by .

2 things to know when converting from Cartesian to polar.

You want to calculate the hypotenuse, 

Solution:

 

Example Question #257 : Parametric, Polar, And Vector

Calculate the polar form hypotenuse of the following cartesian equation:

Possible Answers:

Correct answer:

Explanation:

In a cartesian form, the primary parameters are  and . In polar form, they are  and 

 is the hypotenuse, and  is the angle created by .

2 things to know when converting from Cartesian to polar.

You want to calculate the hypotenuse, 

Solution:

 

 

Example Question #258 : Parametric, Polar, And Vector

Calculate the polar form hypotenuse of the following cartesian equation:

Possible Answers:

Correct answer:

Explanation:

In a cartesian form, the primary parameters are  and . In polar form, they are  and 

 is the hypotenuse, and  is the angle created by .

2 things to know when converting from Cartesian to polar.

You want to calculate the hypotenuse, 

Solution:

 

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