4. The number of deer on the George Reserve t years after introduction is given by : 6.21 N = 0.035 +0.45t a. How many deer were introduced into the deer reserve? b. Calculate N(4) and explain the meaning of the number you have calculated. C. Find the carrying capacity for the deer in the reserve. d. Explain how the population varies with time. Include in your explanation the average rate of increase over each 2-year period for the first eight years.
4. The number of deer on the George Reserve t years after introduction is given by : 6.21 N = 0.035 +0.45t a. How many deer were introduced into the deer reserve? b. Calculate N(4) and explain the meaning of the number you have calculated. C. Find the carrying capacity for the deer in the reserve. d. Explain how the population varies with time. Include in your explanation the average rate of increase over each 2-year period for the first eight years.
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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![**Deer Population Dynamics on the George Reserve**
The number of deer on the George Reserve, \( t \) years after their introduction, is modeled by the equation:
\[ N = \frac{6.21}{0.035 + 0.45^t} \]
**Exercises:**
a. **Initial Introduction**: Determine how many deer were introduced into the reserve.
b. **Population Evaluation**: Calculate \( N(4) \) and explain the significance of this value.
c. **Carrying Capacity**: Identify the carrying capacity for the deer in the reserve.
d. **Population Variation Explanation**: Discuss how the deer population changes over time, specifically computing the average rate of increase over each 2-year interval during the first eight years.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F945ccdd9-1885-4692-8d52-6c875909fac9%2F8559a3d5-88de-4a39-8937-a7ec9e87463b%2Fsizohom_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Deer Population Dynamics on the George Reserve**
The number of deer on the George Reserve, \( t \) years after their introduction, is modeled by the equation:
\[ N = \frac{6.21}{0.035 + 0.45^t} \]
**Exercises:**
a. **Initial Introduction**: Determine how many deer were introduced into the reserve.
b. **Population Evaluation**: Calculate \( N(4) \) and explain the significance of this value.
c. **Carrying Capacity**: Identify the carrying capacity for the deer in the reserve.
d. **Population Variation Explanation**: Discuss how the deer population changes over time, specifically computing the average rate of increase over each 2-year interval during the first eight years.
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