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In: Advanced Math
Exercise 3. (22 pts.) (Rabbits vs. Sheep) a)For each of the following ”rabbits vs. sheep” problems...
Exercise 3. (22 pts.) (Rabbits vs. Sheep) a)For each of the following ”rabbits vs. sheep” problems with x, y ≥ 0. Find the fixed points, classify them (type and stability), and find the eigenvalues and eigenvectors. Then sketch (by hand) a plausible phase portrait indicating nullclines, all relevant trajectories, and indicate all the different basins of attraction. Finally interpret the behavior of the population of the rabbits and sheep for the different systems (compare the three systems)
• x˙ = x(3 − 2x − y), ˙y = y(2 − x − y)
Solutions
Colby Messinger answered 4 months agoRelated Solutions
(22 pts) Find the experimental probability of rolling each sum. Fill out the following table: Sum...
(22 pts) Find the experimental probability of rolling each sum.
Fill out the following table:
Sum of the dice
Number of times each sum occurred
Probability of occurrence for each sum out of your 108
total rolls (record your probabilities to threedecimal
places)
1
2
3
4
5
6
7
8
9
10
11
Exercise 3: Erikson's Autonomy vs Shame and Doubt and Initiative vs Guilt Stages - This assignment...
Exercise 3: Erikson's Autonomy vs Shame and Doubt and
Initiative vs Guilt Stages - This assignment is designed
to help students brainstorm strategies for positive psychosocial
development in two of Erikson's stages, both in classroom and home
settings.
Complete the document by describing what happens in both
Erikson's Autonomy vs Shame and Doubt and Initiative vs Guilt
stages. Additionally, describe one strategy teachers can use in the
classroom setting to encourage Autonomy and Initiative, and one
strategy parents/caregivers can use...
(10 pts) Draw the result of hashing 11, 22, 3, and 43 into a table using...
(10 pts) Draw the result of hashing 11, 22, 3, and 43 into a
table using the following hash function, using separate
chaining:
h(x) = x % 4
0
1
2
3
(10 pts) Draw the result of hashing 11, 22, 3, and 43 into a
table using the following hash function, using open
addressing with linear probing:
h(x) = x % 4
0
1
2
3
4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 +...
4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 +
10? − 3 answer the following:
a. [2 pts] Determine whether the function represents a
polynomial. Justify your answer.
b. [4 pts] Determine whether the function satisfies the
Intermediate Value Theorem on the interval [0, 5]. Justify your
answer.
c. [2 pts] Determine the number (quantity) of complex zeros that
the function has, provided the each zero is counted by its
multiplicity.
d. [4...
Correct the following sentences to make them true (3 pts/each): (type the correct sentence in the...
Correct the following sentences to make them true (3 pts/each):
(type the correct sentence in the box)
11. Bacteria organize their ribosomes on one or more linear
chromosomes.
12. A commensal organism will damage the host while the organism
benefits.
13. Bacteriocidal drugs prevent the growth of bacteria but do
not kill them.
14. The human microbiome only includes viruses and bacteria.
15. Short runs and long tumbles will help move a bacterial cells
toward a target.
1. Explain how discrimination affects firm profits in each of the following cases. (3 pts) a....
1. Explain how discrimination affects firm profits in each of
the following cases. (3 pts)
a. A firm that is discriminating against women because the owner
is sexist.
b. A firm that is discriminating against women because the
customers are sexist.
c. A firm that is discriminating against women because on
average they are less productive than men in this industry.
Here are four problems (5 pts each) involving the calculation of DG°' for metabolic reactions we...
Here are four problems (5 pts each) involving the calculation of
DG°' for metabolic reactions we have discussed, based on
experimentally determined redox potentials. Calculate the
DG°' for each reaction using the equation DG°' =
-nFDE0' and the values for
E0' given in Table 1. Show
your work and circle your answer.
Table 1. Reduction potentials for reduction
half reactions:
1/2 O2 + 2H+ + 2e- ®
H2O
E0' = +0.82 V
fumarate + 2H+ + 2e- ®
succinate
E0'...
Here are four problems (5 pts each) involving the calculation of DG°' for metabolic reactions we...
Here are four problems (5 pts each) involving the calculation of
DG°' for metabolic reactions we have discussed, based on
experimentally determined redox potentials. Calculate the
DG°' for each reaction using the equation DG°' =
-nFDE0' and the values for
E0' given in Table 1. Show
your work and circle your answer.
Table 1. Reduction potentials for reduction
half reactions:
1/2 O2 + 2H+ + 2e- ®
H2O
E0' = +0.82 V
fumarate + 2H+ + 2e- ®
succinate
E0'...
(3 pts) Consider a June 2020 Put option contract on CC Co. with an exercise price...
(3 pts) Consider a June 2020 Put
option contract on CC Co. with an
exercise price of $40 and a premium of $3.30.
If on the third Friday of June the price of CC is as follows,
fill in the chart below as is relates to the buyer of the
contract.
Price in
June Value
of Option
Contract Profit/Loss
for Buyer
$30 ______________ _______________
$39 ______________ _______________
$48 ______________ _______________
(3 pts) Consider a June 2020 Put
option contract on DD Co. with an
exercise price of $50...
From the following data, construct 3 graphs: [A] vs t, ln[A] vs t, and 1/[A] vs...
From the following data, construct 3 graphs: [A] vs t, ln[A] vs
t, and 1/[A] vs t
a) determine the order of the reaction from the graphs.
b) from the one graph that is linear, determine the rate
constant, k.
You do not need to calculate the slopes of the nonlinear
graphs.
time in seconds
[A] in (M)
0
1
25
0.914
50
0.829
75
0.744
100
0.659
125
0.573
150
0.488
175
0.403
200
0.318
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