LIFESCIENC 30B
LIFESCIENC 30B
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Homework 5 Solutions University of California, Los Angeles LIFESCIENC 30B
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---18februari 20232022/2023A+
- Homework 5 Solutions 
Next State Contribution from 
Cn 
Contribution from 
Sn 
Contribution from 
An 
Cn+1 
0 (Since cubs only 
remain cubs for a 
year, none of the cubs 
from the current year 
will remain as cubs for 
the next year) 
0 (Since no subadult 
from the current year 
will become cubs for 
the next year) 
0.5 (Since on average, 
adults give birth to 
0.5 female cubs each 
year) 
Sn+1 
0.83 (Since cubs only 
remain cubs for a 
year, all of the cubs 
from the current year 
will become t...
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Solutions to Homework 6 LS30B-2 University of California, Los Angeles LIFESCIENC 30B
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---21februari 20232022/2023A+
- Solutions to Homework 6 
LS30B-2 
Due February 27, 2017 
6.2 FE 5 
Carry out the following matrix multiplications. For each problem, say what the function 
represented by each matrix does to the standard basis vectors and what the product of the two 
matrices would do to these vectors. 
a. = 
b. = 
c. = 
Multiplying any matrix in 2-D by vector [1,0] gives the first column of the matrix and 
multiplying it by a vector [0,1] g
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LS 30B MIDTERM SOLUTIONS University of California, Los Angeles LIFESCIENC 30B
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--19februari 20232022/2023A+
- LS 30B: MATHEMATICS FOR LIFE SCIENTISTS 
WINTER 2018 - LECTURE 2 
Jukka Keranen 
MIDTERM SOLUTIONS 
Your Name 
The Last Six Digits of Your Student ID number 
Your TA Section 
By signing below, you confirm that you did not cheat on this exam. No exam booklet without a signature will be graded. 
INSTRUCTIONS 
• Please do not open this booklet until you are told to do so. 
• Your cell phone must be turned off completely and stowed away where you cannot see it. 
• In addition to basic writing ...
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LS 30B Homework 4 Solutions _ University of California, Los Angeles LIFESCIENC 30B
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---8januari 20232022/2023A+
- Solutions: 
5.1.2: Choose an initial value for X and use values of r that are less than, greater than, and equal 
to one to test the above statements by computing two values of X for each value of r. 
Solution: Choose X0 = 1, 
r = 1: 
X1 = 1 ∗ 1 = 1, X2 = 1 ∗ X1 = 1 ∗ 1 = 1. 
r = 2: 
X1 = 2 ∗ 1 = 2, X2 = 2 ∗ 2 = 4. 
r = 1/2: 
X1 = 
1 
2 
∗ 1 = 
1 
2 
, X2 = 
1 
2 
1 
2 
= 
1 
4 
. 
5.1.3: An inedible alga is growing on a pond in a city park. Only a small part of the pond is now 
cove...
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Homework 2 Solutions - University of California, Los Angeles LIFESCIENC 30B
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---9januari 20232022/2023A+
- Homework 2 Solutions 
Exercise 4.2.FE 1 Some people have difficulty maintaining a stable weight. Instead, they 
gain a lot of weight, go on a diet, lose the weight, but then gain it back. This pattern is 
sometimes referred to as yo-yo dieting. 
a) What kind of feedback loop is involved in this situation? 
b) Use your understanding of feedback loops and oscillations to suggest what might help 
such a person to stabilize their weight. 
Part a: 
Negative Feedback Loop (since a gain in weight will ...
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Homework 2 Solutions _ LIFESCIENC 30B mathematics for life science
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---11januari 20232022/2023A+
- Homework 2 Solutions 
 
Rubric 
4 problems were graded in the following scale for a total of 10 points. 
4.1.Exercise 7: (2 points) 
• 2 points: Have 3 graphs (Trajectory + Time Series for both V and X) AND a description of 
the trend of the graph as the value of a changes 
• 1 point: Either the description is missing or one of the graphs is missing 
• 0 point: Blank answer 
4.1.Further Exercise 2: (2 points) 
• 2 points: Able to state that the trajectory will never reach the limit cycle...
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