7. The snowshoe hare population in a newly created conservation area can be (t) = 50 + 2500t² 25+12, predicted over time by the model p where p represents the population size and t is the time in years since the opening of the conservation area. The graph of p(t) is shown below: 2000- 1000- 10 15 20 25 a) Determine the average rate of change in the interval from 2 years to 5 years. b) Determine the instantaneous rate of change at 3 years.
7. The snowshoe hare population in a newly created conservation area can be (t) = 50 + 2500t² 25+12, predicted over time by the model p where p represents the population size and t is the time in years since the opening of the conservation area. The graph of p(t) is shown below: 2000- 1000- 10 15 20 25 a) Determine the average rate of change in the interval from 2 years to 5 years. b) Determine the instantaneous rate of change at 3 years.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:7. The snowshoe hare population in a newly created conservation area can be
p(t)
50 +
predicted over time by the model p
=
2500t²
25+12,
where p represents
the population size and t is the time in years since the opening of the conservation
area. The graph of p(t) is shown below:
2000-
1000-
10
15
20
25
a) Determine the average rate of change in the interval from 2 years to 5 years.
b) Determine the instantaneous rate of change at 3 years.
c) Use the graph to discuss how the population of snowshoe hares changes as
time increases.
d) Use the graph to discuss how the rate of the population of snowshoe hares
changes as time increases.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
