Determine the slope you would encounter

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Reference no: EM131005469

Assume that the positive x-axis points East and the positive y-axis points North. Suppose you arc hiking on a terrain modeled by z = x²-+y² - y. You are at the point (1, 2, 3).

Determine the slope you would encounter if you headed due East from your position. What angle of inclination docs that correspond to?

Determine the slope you would encounter if you headed due North from your position. What angle of inclination does that correspond to?

Determine the slope you would encounter if you headed due North-East from your position. What angle of inclination does that correspond to?

Determine the steepest slope you could encounter from your position.

Reference no: EM131005469

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