Question 1

Imagine a hill whose elevation z above sea-level (in meters) at position (2,y) is given by -f(z,y), where

f(x,y)-1000-9²-4². A hiker, starting at position (10,5, 0), walks up the hill in a south-westerly

direction (the positive g-axis points northwards). Find the maximum elevation reached by the hiker.

a. Is the hiker walking along cross sections or level curves? [1 point]

O cross sections

O level curves

b. Find the equation of the line along which the hiker is walking. [2 points]

You must enter the line equation in the slope-intercept formy-mz+b

in()

c. Determine the equation of the cross section that the hiker will climb. [2 points]

f(x)=

a

D

(4)

c. Determine the equation of the cross section that the hiker will climb. [2 points]

f(x)=

a 12/nc. Determine the equation of the cross section that the hiker will climb. [2 points]

f(x)=

c. Determine the equation of the cross section that the hiker will climb. [2 points]

f(x)=

d. Find the maximum elevation reached by the hiker. Report your answer in number of meters (do NOT

include "m") accurate to at least 2 decimal places. [3 points]

m