Let h(x, y) = x² + 3xy - 6y. In what direction does h increase most rapidly at the point (3, 2)? (a) The x-direction. (b) The direction of the vector (3,2). (c) The direction of the vector (-12, –3). (d) The direction of the vector (12, 3).

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
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' Let h(x, y) = x² + 3xy – 6y. In what direction does h increase most
rapidly at the point (3, 2)?
(a) The x-direction.
(b) The direction of the vector (3,2).
(c) The direction of the vector (-12, –3). (d) The direction of the vector (12, 3).
Transcribed Image Text:' Let h(x, y) = x² + 3xy – 6y. In what direction does h increase most rapidly at the point (3, 2)? (a) The x-direction. (b) The direction of the vector (3,2). (c) The direction of the vector (-12, –3). (d) The direction of the vector (12, 3).
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