An ornithologist is studying a population of female starlings as it changes each year. They are assuming the following things about this bird population: 1st year starlings Does not lay eggs 50% survive to 2nd year 2nd year starlings Has 3 female offspring each 70% survive to 3rd year 3rd year starlings Has 1 female offspring each None survive to 4th year 80 Suppose right now the distribution of starlings in each age group is 100 30 After 1 year, how many starlings will be in each age group? [Round answers to the nearest whole number.] 1st year: 2nd year: 3rd year: How many birds will be in each age group after 6 years? [Round answers to the nearest whole number.] 1st year: 2nd year: 3rd year: Q Search H 2:04 PM 4/11/2024 PRE If the vector b= 12 x3 represents the distribution of birds, where a₁ is the number in the 1st year, 2 is 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. A
An ornithologist is studying a population of female starlings as it changes each year. They are assuming the following things about this bird population: 1st year starlings Does not lay eggs 50% survive to 2nd year 2nd year starlings Has 3 female offspring each 70% survive to 3rd year 3rd year starlings Has 1 female offspring each None survive to 4th year 80 Suppose right now the distribution of starlings in each age group is 100 30 After 1 year, how many starlings will be in each age group? [Round answers to the nearest whole number.] 1st year: 2nd year: 3rd year: How many birds will be in each age group after 6 years? [Round answers to the nearest whole number.] 1st year: 2nd year: 3rd year: Q Search H 2:04 PM 4/11/2024 PRE If the vector b= 12 x3 represents the distribution of birds, where a₁ is the number in the 1st year, 2 is 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. A
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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![An ornithologist is studying a population of female starlings as it changes each year. They are assuming the
following things about this bird population:
1st year starlings
Does not lay eggs
50% survive to 2nd year
2nd year starlings
Has 3 female offspring each
70% survive to 3rd year
3rd year starlings
Has 1 female offspring each
None survive to 4th year
80
Suppose right now the distribution of starlings in each age group is
100
30
After 1 year, how many starlings will be in each age group? [Round answers to the nearest whole number.]
1st year:
2nd year:
3rd year:
How many birds will be in each age group after 6 years? [Round answers to the nearest whole number.]
1st year:
2nd year:
3rd year:
Q Search
H
2:04 PM
4/11/2024
PRE](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98337755-f419-4018-8a3a-c5059548b7a8%2F983fa349-d1b4-4253-96f0-5a0f4e349313%2F6zgxokb_processed.png&w=3840&q=75)
Transcribed Image Text:An ornithologist is studying a population of female starlings as it changes each year. They are assuming the
following things about this bird population:
1st year starlings
Does not lay eggs
50% survive to 2nd year
2nd year starlings
Has 3 female offspring each
70% survive to 3rd year
3rd year starlings
Has 1 female offspring each
None survive to 4th year
80
Suppose right now the distribution of starlings in each age group is
100
30
After 1 year, how many starlings will be in each age group? [Round answers to the nearest whole number.]
1st year:
2nd year:
3rd year:
How many birds will be in each age group after 6 years? [Round answers to the nearest whole number.]
1st year:
2nd year:
3rd year:
Q Search
H
2:04 PM
4/11/2024
PRE
Transcribed Image Text:If the vector b=
12
x3
represents the distribution of birds, where a₁ is the number in the 1st year, 2 is
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.
A
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