Calculus 3 : Cylindrical Coordinates

Study concepts, example questions & explanations for Calculus 3

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Example Questions

Example Question #241 : Cylindrical Coordinates

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Example Question #241 : Cylindrical Coordinates

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Example Question #241 : Cylindrical Coordinates

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Example Question #244 : Cylindrical Coordinates

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Example Question #245 : Cylindrical Coordinates

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Example Question #331 : 3 Dimensional Space

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Example Question #332 : 3 Dimensional Space

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Example Question #248 : Cylindrical Coordinates

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Example Question #249 : Cylindrical Coordinates

Find a parametric representation of the circle .

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We can begin by rewriting the equation for a circle as

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This directly tells us that .  This allows us to write our final expression for the parametric representation as

Example Question #241 : Cylindrical Coordinates

Convert the following vector in Cartesian coordinates into cylindrical coordinates.

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The conversion from Cartesian to cylindrical coordinates is as follows:

The three components of the vector then become:

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