Brain weight B as a function of body weight W in fish has been modeled by the power function B = 0.007W^(2/3), where B and W are measured in grams. A model for body weight as a function of body length L (measured in centimeters) is W = 0.12L^(2.53). If, over 10 million years, the average length of a certain species of fish evolved from 16 cm to 23 cm at a constant rate, how fast(g/yr) was this species' brain growing when the average length was 18 cm? (Round your answer to four significant figures.)
Brain weight B as a function of body weight W in fish has been modeled by the power function B = 0.007W^(2/3), where B and W are measured in grams. A model for body weight as a function of body length L (measured in centimeters) is W = 0.12L^(2.53). If, over 10 million years, the average length of a certain species of fish evolved from 16 cm to 23 cm at a constant rate, how fast(g/yr) was this species' brain growing when the average length was 18 cm? (Round your answer to four significant figures.)
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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Brain weight B as a function of body weight W in fish has been modeled by the power function B = 0.007W^(2/3), where B and W are measured in grams. A model for body weight as a function of body length L (measured in centimeters) is W = 0.12L^(2.53). If, over 10 million years, the average length of a certain species of fish evolved from 16 cm to 23 cm at a constant rate, how fast(g/yr) was this species' brain growing when the average length was 18 cm? (Round your answer to four significant figures.)
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