Suppose you are dimbing a hil whose shape is given by the equation $z=1,800=0\mathrm{.}005x^2-0\mathrm{.}01r^2,$ where $x,y,$ and $z$ are measured in meters, and you are standing at a point with coordinates $(240,240,936).$ The positive $x-$axis points east and the positive $y-$axis points north.

$($a$)$ It you walk due south, will you start to atcend or descend?

ascend

descend

Well dene.

At what rate $($in vertical meters per horizontal meter$)?$

$$ vertical meters per horisontal meter

$($b$)$ Ef you walk northwest, will you start to ascend or escend?

ascend

descend

$$

Great jobl

At what rate $($in vertical meters per horisontal meter$)?($flownd your answer to two decimal places.$)$

$$ vertical meters per horizontal meter

$($c$)$ In which direction is the slope largest?

$$

What is the rate of accent $($in vertical meters per horisontal meter$)$ is that direction? $($Round your answer so two decimal places.$)$

$$ vertical meters per horizontal meter

At what angle $($in degrees$)$ above the horiabital does the path in that direction begin? $($Round your answer to two decimal places.$)$

$$