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?
-4x^2 - 4y^2 + z^2 = 1
-----------
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!
-4r^2 + z^2 = 1
==> z^2 = 1 + 4r^2
==> z = ±√(1 + 4r^2).
I hope this helps!