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The density of seeds at a distance x from a parent tree is observed to be -x2 = Doe a2 %3D where a > 0, Do > 0 are positive constants. Insects that eat these seeds tend to congre raction of seeds that get eaten is

The density of seeds at a distance x from a parent tree is observed to be -x2 = Doe a2 %3D where a > 0, Do > 0 are positive constants. Insects that eat these seeds tend to congre raction of seeds that get eaten is

Advanced Engineering Mathematics
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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The density of seeds at a distance x from a parent tree is observed to be -x2 D(x) = Doe a 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 -x2 F(x) = e where b > 0. The number of seeds that survive is S(x) = D(x)(1 - F(x)) If a = 35 and b = 33, determine the distance x from the tree at which the greatest number of seeds survive. Round your answer to two decimal places. Answer:
Transcribed Image Text:The density of seeds at a distance x from a parent tree is observed to be -x2 D(x) = Doe a 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 -x2 F(x) = e where b > 0. The number of seeds that survive is S(x) = D(x)(1 - F(x)) If a = 35 and b = 33, determine the distance x from the tree at which the greatest number of seeds survive. Round your answer to two decimal places. Answer:
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