Difference between revisions of "Gabriel's Horn"
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(Created page with "''Not to be confused with Gideon's Trumpet.'' '''Gabriel's horn''' is the surface obtained by revolving the graph of <math>y = 1/x</math> for <math>x \geq 1</math> a...") |
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| − | + | '''Gabriel's horn''' is the [[surface]] obtained by revolving the [[graph]] of <math>y = 1/x</math> for <math>x \geq 1</math> about the <math>x</math>-axis. It has [[infinity|infinite]] [[area]], but encloses a [[finite]] [[volume]] of pi <math>\mathrm{units}^3</math>. | |
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| − | '''Gabriel's horn''' is the [[surface]] obtained by revolving the [[graph]] of <math>y = 1/x</math> for <math>x \geq 1</math> about the <math>x</math>-axis. It has [[infinity|infinite]] [[area]], but encloses a [[finite]] [[volume]] of | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
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