What is the answer to problem #1 in the pi

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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What is the answer to problem #1 in the picture? 

Discussion - Week 14
6 6
All Sections
Choose ONE of the questions for this week's Discussion. Clearly show the model (equation) used and what each variable or constant
represents. Do NOT just plug and chug - explain your reasoning for every step.
1. Suppose there are 330 million people in the US. If the annual birth rate is 3.2% and the annual death rate is 2.6%, what is the relative
annual growth rate (r) of the US Population?
a) What will the projected US Population be in 2030 based on an exponential growth model (base e)? Give the model and explain what each
part represents.
b) What will the projected US Population be in 2050?
c) What will the projected US Population be in 2100?
d) What would happen if birth and death rates were reversed? Clearly explain what type of model this becomes and how the graph changes.
2. The half-life of a radioactive substance is 1800 years.
a) What does the model look like if we use an exponential decay model (base e)? Explain what each part of the model represents.
b) If we start with 100 mg of the substance, how much of it will still be radioactive in 2000 years. Does your answer make sense?
口 )
1:35 PM
4/20/2021
6.
...
Transcribed Image Text:Discussion - Week 14 6 6 All Sections Choose ONE of the questions for this week's Discussion. Clearly show the model (equation) used and what each variable or constant represents. Do NOT just plug and chug - explain your reasoning for every step. 1. Suppose there are 330 million people in the US. If the annual birth rate is 3.2% and the annual death rate is 2.6%, what is the relative annual growth rate (r) of the US Population? a) What will the projected US Population be in 2030 based on an exponential growth model (base e)? Give the model and explain what each part represents. b) What will the projected US Population be in 2050? c) What will the projected US Population be in 2100? d) What would happen if birth and death rates were reversed? Clearly explain what type of model this becomes and how the graph changes. 2. The half-life of a radioactive substance is 1800 years. a) What does the model look like if we use an exponential decay model (base e)? Explain what each part of the model represents. b) If we start with 100 mg of the substance, how much of it will still be radioactive in 2000 years. Does your answer make sense? 口 ) 1:35 PM 4/20/2021 6. ...
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