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Suppose the Point (2,3)( 2,3 ) Is on a Curve CC Which Is a Level Curve of the Surface

Question 269

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Suppose the point (2,3)( 2,3 ) is on a curve CC which is a level curve of the surface z=x2+2yz = x ^ { 2 } + 2 y . Can it be concluded that the point (4,−3)( 4 , - 3 ) is also on CC ? Explain.

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Yes, given that blured image is a level cu...

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