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Compare the Minimum Value Of ZZ And Sketch a Portion of the Graph Of

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Compare the minimum value of ZZ and sketch a portion of the graph of z=3x2+6x+2y28yz = 3 x ^ { 2 } + 6 x + 2 y ^ { 2 } - 8 y near its lowest point.  Compare the minimum value of  Z  and sketch a portion of the graph of  z = 3 x ^ { 2 } + 6 x + 2 y ^ { 2 } - 8 y  near its lowest point.

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