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Calculus II (Practice Problems) / Parametric Equations and Polar Coordinates / Polar Coordinates   [Notes] [Practice Problems] [Assignment Problems]

Calculus II - Practice Problems

 

1. For the point with polar coordinates  determine three different sets of coordinates for the same point all of which have angles different from  and are in the range . [Solution]

 

2. The polar coordinates of a point are .  Determine the Cartesian coordinates for the point. [Solution]

 

3. The Cartesian coordinate of a point are .  Determine a set of polar coordinates for the point. [Solution]

 

4. The Cartesian coordinate of a point are .  Determine a set of polar coordinates for the point. [Solution]

 

For problems 5 and 6 convert the given equation into an equation in terms of polar coordinates.

 

5.   [Solution]

 

6.   [Solution]

 

For problems 7 and 8 convert the given equation into an equation in terms of Cartesian coordinates.

 

7.   [Solution]

 

8.   [Solution]

 

For problems 9  16 sketch the graph of the given polar equation.

 

9.   [Solution]

 

10.   [Solution]

 

11.   [Solution]

 

12.   [Solution]

 

13.   [Solution]

 

14.   [Solution]

 

15.   [Solution]

 

16.  [Solution]

 

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Calculus II (Practice Problems) / Parametric Equations and Polar Coordinates / Polar Coordinates    [Notes] [Practice Problems] [Assignment Problems]

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