Please provide a thorough solving. I jus t need to understand this. ON a mountain, the elevation z above a point (x, y) in an xy-plane at sea level is z = 2000 − 0.02x2 − 0.04y2, where x, y, and z are in meters. The positive x-axis points east, and the positive y-axis north. A climber is at the point (20, 5, 1991). (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)?

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Please provide a thorough solving. I jus t need to understand this. ON a mountain, the elevation z above a point (x, y)
in an xy-plane at sea level is z = 2000 − 0.02x2 − 0.04y2,
where x, y, and z are in meters. The positive x-axis points
east, and the positive y-axis north. A climber is at the point
(20, 5, 1991).
(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)? 

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