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12. The diameter of a tree, measured in feet, can be 14 modeled by the function d(t) 1+0.5e04(1-8.5) where t is in years. (a) According to the model, what is the initial diameter of the tree? (b) What is the diameter of the tree when the tree is 3 vears old? (c) After how many vears will the tree

12. The diameter of a tree, measured in feet, can be 14 modeled by the function d(t) 1+0.5e04(1-8.5) where t is in years. (a) According to the model, what is the initial diameter of the tree? (b) What is the diameter of the tree when the tree is 3 vears old? (c) After how many vears will the tree

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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12. The diameter of a tree, measured in feet, can be 14 modeled by the function d(t) = 1+ 0.5e 0.4(1-8.5) where t is in years. (a) According to the model, what is the initial diameter of the tree? (b) What is the diameter of the tree when the tree is 3 years old? (c) After how many years will the tree be approximately 6 feet in diameter? (d) What diameter will the tree eventually approach as its age becomes arbitrarily old?
Transcribed Image Text:12. The diameter of a tree, measured in feet, can be 14 modeled by the function d(t) = 1+ 0.5e 0.4(1-8.5) where t is in years. (a) According to the model, what is the initial diameter of the tree? (b) What is the diameter of the tree when the tree is 3 years old? (c) After how many years will the tree be approximately 6 feet in diameter? (d) What diameter will the tree eventually approach as its age becomes arbitrarily old?
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