2nd year cardinals Has 1 female offspring each Does not lay eggs 90% survive to 2nd year 70% survive to 3rd year 1st year cardinals 3rd year cardinals Has 3 female offspring each None survive to 4th year
2nd year cardinals Has 1 female offspring each Does not lay eggs 90% survive to 2nd year 70% survive to 3rd year 1st year cardinals 3rd year cardinals Has 3 female offspring each None survive to 4th year
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
refer to image below and heres first part of question that nots everything in it An ornithologist is studying a population of female cardinals as it changes each year. They are assuming the following things about this bird population:
Matrix A is blank 3 *3 matrix enter all values in it which it last part of question so 2 pieces in there are not image
![1st year cardinals
Does not lay eggs
2nd year cardinals
Has 1 female offspring each
90% survive to 2nd year 70% survive to 3rd year
80
Suppose right now the distribution of cardinals in each age group is 70
60
1st year:
After 1 year, how many cardinals will be in each age group? [Round answers to the nearest whole number.]
2nd year:
3rd year:
1st year:
How many birds will be in each age group after 8 years? [Round answers to the nearest whole number.]
2nd year:
3rd year:
3rd year cardinals
Has 3 female offspring each
None survive to 4th year
If the vector b
x1
I2
AN
represents the distribution of birds, where x1 is the number in the 1st year, 2 is
x3
the number in the 2nd year and 3 is the number in the 3rd year, find the matrix A so that Ab is the
distribution of birds after 1 year.
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F181283bb-83dc-4f09-86f1-fac04e6d4723%2Fc6bd39c0-2a86-4a55-8e0a-c15727e659c2%2Fu916cyp.jpeg&w=3840&q=75)
Transcribed Image Text:1st year cardinals
Does not lay eggs
2nd year cardinals
Has 1 female offspring each
90% survive to 2nd year 70% survive to 3rd year
80
Suppose right now the distribution of cardinals in each age group is 70
60
1st year:
After 1 year, how many cardinals will be in each age group? [Round answers to the nearest whole number.]
2nd year:
3rd year:
1st year:
How many birds will be in each age group after 8 years? [Round answers to the nearest whole number.]
2nd year:
3rd year:
3rd year cardinals
Has 3 female offspring each
None survive to 4th year
If the vector b
x1
I2
AN
represents the distribution of birds, where x1 is the number in the 1st year, 2 is
x3
the number in the 2nd year and 3 is the number in the 3rd year, find the matrix A so that Ab is the
distribution of birds after 1 year.
3
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