2. [Sec 11.1] Consider the function w(x, y, z) = x y + z. Describe...

 

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2. [Sec 11.1] Consider the function w(x, y, z) = x² − y² + z². Describe the level surfaces corresponding to w = -24, 0, and 12 on the domain {(x, y, z) ≤ R³ | −10 ≤ x ≤ 10, −10 ≤ y ≤ 10, −10 ≤ z ≤ 10}. Identify each of these level surfaces and describe their orientations. 2. [Sec 11.1] Consider the function w(x, y, z) = x² − y² + z². Describe the level surfaces corresponding to w = -24, 0, and 12 on the domain {(x, y, z) ≤ R³ | −10 ≤ x ≤ 10, −10 ≤ y ≤ 10, −10 ≤ z ≤ 10}. Identify each of these level surfaces and describe their orientations.

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