Asked Feb 20, 2020

According to Kleiber’s Law, the metabolic rate P (in kilocalories per day) and body mass mm (in kilograms) of an animal are related by the three‑quarter‑power law P=73.3m^3/4. Use the derivative, P′(m), to estimate the increase in metabolic rate when the body mass increases from 103 to 104 kg.

(Use decimal notation. Give your answer to three decimal places.)

Metabolic rate increases by approximately kcal/day?

Expert Answer

Given Kleiber’s Law as below:

Calculus homework question answer, step 1, image 1

We find P′(m)

Calculus homework question answer, step 2, image 1

We find the percentage change as follows:

Calculus homework question answer, step 3, image 1


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