Question

On a certain mountain, the elevation $z$ in miles above a point $(x, y)$ in an $x y$ -plane at sea level is $z=2000-2 x^{2}-4 y^{2}$ ft. The positive $x$ -axis points east, and the positive y-axis north. A climber is at the point (-20,5,1100) (a) If the climber uses a compass reading to walk due west, will she begin to ascend or descend? (b) If the climber uses a compass reading to walk northeast, will she ascend or descend? At what rate? (c) In what compass direction should the climber begin walking to travel a level path (two answers)?

          On a certain mountain, the elevation $z$ in miles above a point $(x, y)$ in an $x y$ -plane at sea level is $z=2000-2 x^{2}-4 y^{2}$ ft. The positive $x$ -axis points east, and the positive y-axis north. A climber is at the point (-20,5,1100)
(a) If the climber uses a compass reading to walk due west, will she begin to ascend or descend?
(b) If the climber uses a compass reading to walk northeast, will she ascend or descend? At what rate?
(c) In what compass direction should the climber begin walking to travel a level path (two answers)?

Added by Samuel W.

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