Sally Is on a Day Hike at Mt

question 62

Essay

Sally is on a day hike at Mt.Baker.From 9 to 11:00 a.m.she zig-zags up z = f(x, y)where x is the number of miles due east of her starting position, y is the number of miles due north of her starting position, and z is her elevation in miles above sea level.Feeling tired, she decides to continue walking, but in such a way that her altitude remains constant from 11 a.m.to noon to settle her stomach for lunch.At 11:30 a.m., she will be passing through (2, -1, 5)where f_x(2, -1)= 3 and f_y(2, -1)= -2.
What is the slope of her "path" in the x, y plane at this instant? (This "path" is among the level curves in the plane.)

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Definitions:

Degrees Fahrenheit

A scale of temperature on which water freezes at 32 degrees and boils at 212 degrees under standard conditions.

Neutralize

To render something inactive by exerting a contrary force or influence, commonly utilized in the realms of chemistry and electricity.

Battery Posts

The positive and negative protruding terminals on a battery through which electrical power is provided to or received from a vehicle's or device's electrical system.

Baking Soda

A common household sodium bicarbonate powder used for baking, cleaning, and odor neutralizing.