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Let f(x,y,z)=4x2y2z2f ( x , y , z ) = \sqrt { 4 - x ^ { 2 } - y ^ { 2 } - z ^ { 2 } }

Question 87

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Let f(x,y,z)=4x2y2z2f ( x , y , z ) = \sqrt { 4 - x ^ { 2 } - y ^ { 2 } - z ^ { 2 } } .(a) Evaluate f(1,1,1)f ( 1 , - 1,1 ) .(b) Sketch the domain of ff .(c) What is the range of the function ff ?

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