Calculus III: Cylindrical Coordinates
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Calculus III: Cylindrical Coordinates

[From: ] [author: ] [Date: 13-03-06] [Hit: ]
.. Should I just use x = rcos(theta), y = rsin(theta) and square it?==> z = ±√(1 + 4r^2).I hope this helps!......
Write the equation into cylindrical coordinates.

-4x^2 - 4y^2 + z^2 = 1

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I thought the answer was z = sqrt(1 + 4r^2) but apparently that's wrong according to my online assignment... Should I just use x = rcos(theta), y = rsin(theta) and square it?

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In cylindrical coordinates:
-4r^2 + z^2 = 1
==> z^2 = 1 + 4r^2
==> z = ±√(1 + 4r^2).

I hope this helps!
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keywords: Cylindrical,III,Calculus,Coordinates,Calculus III: Cylindrical Coordinates
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