PS4
pdf
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School
Simon Fraser University *
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Course
154
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
3
Uploaded by MajorSeal8312
PS4
Due Friday, February 9, 2024
Student Name:
Student #:
report all answers to 3 significant digits
Problem 1:
Formulating climate change projects with tangent lines
Lake Mead in Nevada provides important ecosystem services including irrigation for agriculture,
habitat for biodiversity, and recreation. Repeated droughts in the south west have lead to precipitous
drops in the water level of the lake as shown in blue in the figure below. Fitting the water level
with an exponential function the water level in year
t
is approximately given by:
W
(
t
) = 1080 + 127
e
-
0
.
161
t
A. Use derivatives to calculate the rate of water level drop (in ft/year) in the year 2010 and the
year 2020.
1
Lindy
Hobbs
301577452
W
t
127e
o.ro
t
20.4e
arot
W
a
4.1
W
1207 0.81
PS4
Due Friday, February 9, 2024
B. Tangent lines can be a useful tool in formulating climate change projections. Find the equation
for the tangent line to the
W
(
t
) at
t
= 20 (i.e. in the year 2020). Sketch this tangent line on
the plot above.
C. Use the tangent line you found in part B to make a projection for the water level in the lake
in the year 2030.
2
slope
0.817
intercept
20
0.817
7
0.817
t
1102
To
1098
30
9
81730
1102
PS4
Due Friday, February 9, 2024
Problem 2:
Step 1:
Download
Computer_Assignment_3.ipynb
and
ActionPotential2.csv
.
Step 2:
Upload
both
Computer_Assignment_3.ipynb
and
ActionPotential2.csv
to the
sfu.
syzygy
server.
Step 3:
Follow the instructions there to complete this part of the assignment.
Step 4:
Download your revised notebook
AS A PDF
Go to:
file>Downloadas>PDF
Rename the downloaded pdf as
Computer_Assignment_3_[StudentNumber].pdf
3
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