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

Calculus II - Assignment Problems

 Polar Coordinates

 

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 .

 

2. 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 .

 

3. The polar coordinates of a point are .  Determine the Cartesian coordinates for the point.

 

4. The polar coordinates of a point are .  Determine the Cartesian coordinates for the point.

 

5. The Cartesian coordinate of a point are .  Determine a set of polar coordinates for the point.

 

6. The Cartesian coordinate of a point are .  Determine a set of polar coordinates for the point.

 

7. The Cartesian coordinate of a point are .  Determine a set of polar coordinates for the point.

 

For problems 8 and 9 convert the given equation into an equation in terms of polar coordinates.

 

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For problems 10  13 convert the given equation into an equation in terms of Cartesian coordinates.

 

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For problems 14  27 sketch the graph of the given polar equation.

 

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

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