Let f(x,y,z) = y² + 4z² – 2.ry – 2xz – 4yz + 1 be a function on the domain D where D = {(x,y,z) E R³ : 2x² + 3y² + 62² < 1}. - a) Why has f has a maximal and minimal value on D? (Motivate your answer.) (Ch. 13.2) b) Find the maximal and minimal value of f on D. (Ch. 13.1-3)

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