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Paul
August 7, 2018

Calculus II - Practice Problems
 Applications of Integrals Previous Chapter Next Chapter Series & Sequences Surface Area with Parametric Equations Previous Section Next Section Tangents with Polar Coordinates

## 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 . [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]

Problem Pane
 Surface Area with Parametric Equations Previous Section Next Section Tangents with Polar Coordinates Applications of Integrals Previous Chapter Next Chapter Series & Sequences

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