In a study of a marine tubeworm, scientists developed a model for the time T (measured in years) required for the tubeworm to reach a length of L meters. On the basis of their model, they estimate that 170 to 250 years are required for the organism to reach a length of 2 meters, making this tubeworm the longest-lived noncolonial marine invertebrate known. The model is given below. 20ebl - 28 T = Here b is a positive constant that requires estimation. What is the value of b if an estimate of 180 years to reach a length of 2 meters is correct? (Round your answer to tvo decimal places.) What is the value of b if an estimate of 245 years to reach a length of 2 meters is correct? (Round your answer to two decimal places.)

In a study of a marine tubeworm, scientists developed a model for the time T (measured in years) required for the tubeworm to reach a length of L meters. On the basis of their model, they estimate that 170 to 250 years are required for the organism to reach a length of 2 meters, making this tubeworm the longest-lived noncolonial marine invertebrate known. The model is given below. 20ebl - 28 T = Here b is a positive constant that requires estimation. What is the value of b if an estimate of 180 years to reach a length of 2 meters is correct? (Round your answer to tvo decimal places.) What is the value of b if an estimate of 245 years to reach a length of 2 meters is correct? (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

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

In a study of a marine tubevorm, scientists developed a model for the time T (measured in years) required for the tubeworm to reach a length of L meters. On the basis of
their model, they estimate that 170 to 250 years are required for the organism to reach a length of 2 meters, making this tubeworm the longest-lived noncolonial marine
invertebrate known. The model is given below.
20ebl - 28
T=
Here b is a positive constant that requires estimation. What is the value of b if an estimate of 180 years to reach a length of 2 meters is correct? (Round your answer to two
decimal places.)
b =
What is the value of b if an estimate of 245 years to reach a length of 2 meters is correct? (Round your answer to two decimal places.)

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