The density of seeds at a distance x from a parent tree is observed to be D(x) = Doe where a > 0, Do > 0 are positive constants. Insects that eat these seeds tend to congregate near the tree so that the fraction of seeds that get eaten is F(x) = e where b > 0. The number of seeds that survive is S(x) = D(x)(1 – F(x)) If a = 33 and b = 44, determine the distance x from the tree at which the greatest number of seeds survive. Round your answer to two decimal places.
The density of seeds at a distance x from a parent tree is observed to be D(x) = Doe where a > 0, Do > 0 are positive constants. Insects that eat these seeds tend to congregate near the tree so that the fraction of seeds that get eaten is F(x) = e where b > 0. The number of seeds that survive is S(x) = D(x)(1 – F(x)) If a = 33 and b = 44, determine the distance x from the tree at which the greatest number of seeds survive. Round your answer to two decimal places.
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:The density of seeds at a distance x from a parent tree is observed to be
D(x) = Doe
where a > 0, Do > 0 are positive constants. Insects that eat these seeds tend to congregate near the tree so that
the fraction of seeds that get eaten is
F(x) = e
where b > 0.
The number of seeds that survive is
S(x) = D(x)(1'- F(x))
If a = 33 and b = 44, determine the distance x from the tree at which the greatest number of seeds survive. Round
your answer to two decimal places.
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 2 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,
