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Homework 3
Geog210a
Due: October 21, 2011
Text Problems
:
4.1.7, 4.1.13, 4.2.7, 4.2.15, 4.2.18, 4.3.3, 4.3.10, 4.3.11, 4.3.12, 4.3.15, 4.3.25, 4.4.10, 4.4.13, 4.4.14
(all 4.4.XX problems make a plot, use Newton’s method & check your answers with fzero.m)
Other Problems:
1. You are a consultant paid to figure out where to put a ski jump for the next Winter Olympics.
You
have made an elevation transect along the mountain slope and have derived an equation for elevation
as
h(x)
=
1075
+ 2 x
 6 x
2
+ 0.4 x
3
for
0 km
≤
x
≤
10 km
where x is in kilometers and h in meters above mean sea level.
This expressions holds only over the
range of the transect (from 0 to 10 km).
First, plot h(x) and the slope of h(x) out using Matlab.
Calculate the local and global maxima and minima for the function over the domain?
Find now where
the slope is the steepest.
How did you do this?
Since you're the expert, where would you put the top
and bottom of the ski run?
The top of the jump?
The heliport?
The viewing stands?
2. Help the lazy professor write your final.
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This note was uploaded on 12/28/2011 for the course GEOG 210a taught by Professor Davey during the Fall '09 term at UCSB.
 Fall '09
 Davey

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