PS2
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School
Simon Fraser University *
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Course
154
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
7
Uploaded by MajorSeal8312
PS2
Due Friday, January 26, 2024
Student Name:
Student #:
report all answers to 3 significant digits
Problem 1:
F
(
x
) =
e
2
x
,
x
2
[0
,
5]
(1)
A. Sketch the function
F
(
x
) on the Linear, Log-linear, log, and log-log plot, for the values of
x
indicated above. You may use whatever base you prefer (common logarithm, natural logarithm,
etc.), but indicate the one you use.
1. Linear Plot
2. Log Plot
3. Log-Linear Plot
4. Log-Log Plot
1
Lindy
Mobbs
301577452
Infx
2
In
f
2x
incy
yr
ins
2
54.598
3
403.429
j
I
7
5
I
4
2980.958
5
22026.466
Incx
Inca
incy
y
ing
A
ridian
E.it
i
In
feD
2xxfex
1ncx
In
fex
0
I
0
0
1
0
2
5
2
0.69
4
3
403
1
1
6
4
2981
1.4
8
5
22026
1.6
10
PS2
Due Friday, January 26, 2024
B. Which of the plots is most appropriate for this function? Justify your answer.
2
I
think
the
log
linear
plot
is
the
most
appropriate
for
this
function
PS2
Due Friday, January 26, 2024
Student Name:
Student #:
report all answers to 3 significant digits
Problem 2:
F
(
x
) =
x
1
/
2
,
x
2
[0
,
5]
(2)
A. Sketch the function
F
(
x
) on the Linear, Log-linear, log, and log-log plot, for the values of
x
indicated above. You may use whatever base you prefer (common logarithm, natural logarithm,
etc.), but indicate the one you use.
1. Linear Plot
2. Log Plot
3. Log-Linear Plot
4. Log-Log Plot
3
Lindy
Hobbs
301577452
logfex
flogx
fam
logy
logy
fit
I
Éi
i
logex
Afca
g
1109
2
of of of
c I
I
a
a3
i
a
4
ii
logo
fix
logx
log
fix
2
1.41
0.3
0.15
3
1.73
0.48
0.24
4
2
0.6
0.3
5
2.24
0.7
0.35
Your preview ends here
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PS2
Due Friday, January 26, 2024
B. Which of the plots is most appropriate for this function? Justify your answer.
4
I
think
the
log
plot
is
the
most
accurate
for
this
function
PS2
Due Friday, January 26, 2024
Student Name:
Student #:
report all answers to 3 significant digits
Problem 3:
F
(
x
) =
x,
x
2
[0
,
5]
(3)
A. Sketch the function
F
(
x
) on the Linear, Log-linear, log, and log-log plot, for the values of
x
indicated above. You may use whatever base you prefer (common logarithm, natural logarithm,
etc.), but indicate the one you use.
1. Linear Plot
2. Log Plot
3. Log-Linear Plot
4. Log-Log Plot
5
Lindy
Hobbs
301577452
fax
dogfx
it
I
13
4
15
i
Fx
4
9
of
t
To
do
d
6
dec
Ex
V
fex
logex
log
fx
o
o
o
0
I
1
0
0
2
2
03
C
3
3
3
0.5
0.5
4
4
0.6
0.6
5
5
0.7
0.7
PS2
Due Friday, January 26, 2024
B. Which of the plots is most appropriate for this function? Justify your answer.
6
I
think
the
linear
plot
is
the
most
appropriate
for
this
function
because
it
demonstrates
the
data
andis
easy
and
straight
forward
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PS2
Due Friday, January 26, 2024
Student Name:
Student #:
report all answers to 3 significant digits
Problem 4:
The use of pesticides have allowed agricultural production to increase without an increase in farmed
land.
Leaching of pesticides from fields into lakes, streams, and the local water table can have
detrimental environmental and health consequences.
To limit leaching environmental protection
regulations require that the half-life of pesticides must be less than 250 days.
A. You are hired to monitor the compliance of pesticides with environmental regulations.
You
obtain a pesticide sample with a concentration of 0.2M/L from a local farmer, and 25 days later
you measure the concentration again, finding it to be 0.19M/L. Is the pesticide in compliance
with the regulation?
B. A catalyst can be added to double the decay rate of the pesticide. What is the half-life with
the added catalyst?
7
Lindy
Hobbs
301577
452
N
t
Noe't
9
in
0251
If
r
1
5
203326
in
0
eamth.mg
a
I
F
664
it
1
125Day