- #1

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## Homework Statement

The surface is x^2/y*z=10. Put this into cylidrical coordinates. in the form r=f(theta,z)

## Homework Equations

No clue

## The Attempt at a Solution

No clue

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- Thread starter Colts
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- #1

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The surface is x^2/y*z=10. Put this into cylidrical coordinates. in the form r=f(theta,z)

No clue

No clue

- #2

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- #3

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I don't understand what r=f(theta,z) means and how to write my answer in that form

- #4

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[itex] x = \rho \cos \varphi [/itex]

[itex]y = \rho \sin \varphi [/itex]

[itex] \rho = \sqrt{x^{2}+y^{2}}[/itex] and

[itex] \varphi = \begin{cases} 0 & \mbox{if } x = 0 \mbox{ and } y = 0\\ \arcsin(\frac{y}{\rho}) & \mbox{if } x \geq 0 \\ -\arcsin(\frac{y}{\rho}) + \pi & \mbox{if } x < 0\\ \end{cases}

[/itex]

- #5

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I don't understand what r=f(theta,z) means and how to write my answer in that form

Substitute ##x=r\cos\theta,\, y=r\sin\theta## in the equation and solve it for ##r##.

- #6

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- #7

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##\theta## is given by \theta, not \phi.in this case theta is the angle [itex]\phi [/phi] in the equations above

- #8

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Got it. Thanks guys

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