Suppose that you are climbing a hill whose shape is given by 2360 0.01122 - 0.009y2 where z is the elevation of the hill and , y, and z are measured in meters. You are standing at a point with coordinates axis points east and the positive y axis points north. P(20, 180, 2064) where the positive ax (a) From the point P(20, 180, 2064) you walk in the direction of 2, - 3) what is rate of change in elevation? Round your answer to three decimals. (b) Find a unit vector in the direction of maximum increase of z at point P(20, 180, 2064) Round your value(s) to three decimals (c) What is the maximum rate of change of z at the point P(20, 180, 2064) Round your answer to three decimals.

Question
Suppose that you are climbing a hill whose shape is given by
2360 0.01122 - 0.009y2
where z is the elevation of the hill and , y, and z are measured in meters. You are standing at a point with coordinates
axis points east and the positive y axis points north.
P(20, 180, 2064) where the positive ax
(a) From the point P(20, 180, 2064) you walk in the direction of 2, - 3) what is rate of change in elevation?
Round your answer to three decimals.
(b) Find a unit vector in the direction of maximum increase of z at point P(20, 180, 2064)
Round your value(s) to three decimals
(c) What is the maximum rate of change of z at the point P(20, 180, 2064)
Round your answer to three decimals.
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Transcribed Image Text

Suppose that you are climbing a hill whose shape is given by 2360 0.01122 - 0.009y2 where z is the elevation of the hill and , y, and z are measured in meters. You are standing at a point with coordinates axis points east and the positive y axis points north. P(20, 180, 2064) where the positive ax (a) From the point P(20, 180, 2064) you walk in the direction of 2, - 3) what is rate of change in elevation? Round your answer to three decimals. (b) Find a unit vector in the direction of maximum increase of z at point P(20, 180, 2064) Round your value(s) to three decimals (c) What is the maximum rate of change of z at the point P(20, 180, 2064) Round your answer to three decimals.

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