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Describe the Level Surfaces k=1k = 1 k=0k = 0 k=−1k = - 1

Question 226

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Describe the level surfaces k=1k = 1 , k=0k = 0 , k=−1k = - 1 for the function f(x,y,z)=1−x2−12y2−13z2f ( x , y , z ) = 1 - x ^ { 2 } - \frac { 1 } { 2 } y ^ { 2 } - \frac { 1 } { 3 } z ^ { 2 } .

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