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An Equation of the Tangent Plane to the Surface zx2xy2yz2=18z x ^ { 2 } - x y ^ { 2 } - y z ^ { 2 } = 18

Question 10

Multiple Choice

An equation of the tangent plane to the surface zx2xy2yz2=18z x ^ { 2 } - x y ^ { 2 } - y z ^ { 2 } = 18 at (0, -2, 3) is


A) 4x9y+12z=544 x - 9 y + 12 z = 54
B) 4x9y12z=544 x - 9 y - 12 z = 54
C) 4x+9y+12z=54- 4 x + 9 y + 12 z = 54
D) 4x9y12z=54- 4 x - 9 y - 12 z = 54
E) 4x9y+12z=54- 4 x - 9 y + 12 z = 54

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