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On a certain mountain, the elevation z above a point (r, y) in an ry-plane at sea level is z = 2000 – 0.02.a² - 0.04y2, where x, y, and z are in meters. The positive r-axis points east, and the positive y-axis north. Stephie is at the point (20,5, 1991). (a) If she 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 (see photo below) should the climber begin walking to travel a level (flat) path? NW NE www ENE w WSw ESE SSw Sse SW SE

On a certain mountain, the elevation z above a point (r, y) in an ry-plane at sea level is z = 2000 – 0.02.a² - 0.04y2, where x, y, and z are in meters. The positive r-axis points east, and the positive y-axis north. Stephie is at the point (20,5, 1991). (a) If she 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 (see photo below) should the climber begin walking to travel a level (flat) path? NW NE www ENE w WSw ESE SSw Sse SW SE

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On a certain mountain, the elevation z above a point (r, y) in an ry-plane at sea level is z = 2000 – 0.02.² – 0.04y², where x, y, and z are in meters. The positive r-axis points east, and the positive y-axis north. Stephie is at the point (20, 5, 1991). (a) If she 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 (see photo below) should the climber begin walking to travel a level (flat) path? N NW NE NNW NNE www ENE E Wsw ESE SSw SSE sw SE
Transcribed Image Text:On a certain mountain, the elevation z above a point (r, y) in an ry-plane at sea level is z = 2000 – 0.02.² – 0.04y², where x, y, and z are in meters. The positive r-axis points east, and the positive y-axis north. Stephie is at the point (20, 5, 1991). (a) If she 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 (see photo below) should the climber begin walking to travel a level (flat) path? N NW NE NNW NNE www ENE E Wsw ESE SSw SSE sw SE
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Can you elaborate the part a? What ve stands for? 

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