True or False: The three-dimensional surface given by (x^2)/4 + (z^2)/3 = y^2 is a cylinder ?

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True or False: The three-dimensional surface given by (x^2)/4 + (z^2)/3 = y^2 is a cylinder ?

2007-06-11 08:31:16 · 2 answers · asked by Doug 2 in Science & Mathematics ➔ Mathematics

2 answers

No, its not

If you cut it with the plan x = 1, then you get y^2 - z^2 = 1, which is an hyperbola.

You tell me how would you get an hiperbola cutting a cylinder.

Ana

2007-06-11 11:45:42 · answer #1 · answered by MathTutor 6 · 0⤊ 0⤋

False.

Doug

2007-06-11 15:44:44 · answer #2 · answered by doug_donaghue 7 · 0⤊ 0⤋