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In this question i know the answer is an elliptic parabolid. My question is when doing the traces
yielding the ellipse is it the coefficient of 4 that makes it an ellipse?
Solution
yes and no. The fact that the coefficient is different for the y and z terms is why it is
an elliptic parabaloid. If they were the same, then it would be a circular parabaloid.

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In this question i know the answer is an elliptic parabolid. My ques.pdf

  • 1. In this question i know the answer is an elliptic parabolid. My question is when doing the traces yielding the ellipse is it the coefficient of 4 that makes it an ellipse? Solution yes and no. The fact that the coefficient is different for the y and z terms is why it is an elliptic parabaloid. If they were the same, then it would be a circular parabaloid.