Brain weight b as a function of body weight w in fish has been modeled by the power function b = 0.007w2/3, 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 = 0.12l2.53. 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 was this species' brain growing when the average length was 17 cm? (round your answer to four significant figures.) g

nanogram/year

Explanation:

The given equation for body weight as a function of length

Differentiating both sides of the equation with respect to length , we get -

------Equation (A)

As we know -

substituting the value of in equation (A), we get -

----Equation (C)

On differentiating both side of under given equation, we get -

-----Equation (D),

Substituting the value of W wrt t in Equation (D), we get -

nanogram/year

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