look at this curve:defined by this :$\displaystyle x^4+y^4=1$ how can we calculate the number of its vertexs , and length of its arc , the area that its surround. and how can we paramelize it. thanks very much
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Originally Posted by Xingyuan look at this curve:defined by this :$\displaystyle x^4+y^4=1$ how can we calculate the number of its vertexs , and length of its arc , the area that its surround.And how can we paramelize it. thanks very much You can parametrize it by $\displaystyle x = \sqrt{\sin t}$ and $\displaystyle y = \sqrt{\cos t}$
Originally Posted by Xingyuan look at this curve:defined by this :$\displaystyle x^4+y^4=1$ how can we calculate the number of its vertexs , and length of its arc , the area that its surround. and how can we paramelize it. thanks very much It is an example of a super ellipse, see here RonL
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