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Find the Equation of the Tangent Plane to the Surface 3xyz+x3+y3+z3=153 x y z + x ^ { 3 } + y ^ { 3 } + z ^ { 3 } = 15

Question 32

Multiple Choice

Find the equation of the tangent plane to the surface 3xyz+x3+y3+z3=153 x y z + x ^ { 3 } + y ^ { 3 } + z ^ { 3 } = 15 at (1, -3, 2) .


A) 15x+33y+3z=108- 15 x + 33 y + 3 z = - 108
B) 15x+33y+3z=108- 15 x + 33 y + 3 z = 108
C) 15x+33y+3z=10815 x + 33 y + 3 z = - 108
D) 15x33y+3z=108- 15 x - 33 y + 3 z = - 108

Correct Answer:

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