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Consider the Function g(x,y,z)=x2+y2+z2g ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 }

Question 84

Essay

Consider the function g(x,y,z)=x2+y2+z2g ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } (a)Describe the level set g = 16.
(b)Find a vector perpendicular to the tangent plane to the level set g = 16 at the point (-1, 2, 2).

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(a)Sphere of radius 4 centered...

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