The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y = f(x)=0.01x0.88, where x is the animal's weight in grams. a. Find the energy for the following animals swimming at the surface of the water. i. A muskrat weighing 200 g ii. A sea otter weighing 50,000 g b. Suppose the animal's weight is given in kilograms rather than grams. Given that 1 kg = 1000 g, find a function x = g(z) giving the animal's weight in grams if z is the animal's weight in kilograms. c. Write the energy expenditure as a function of the weight in kilograms in the form yaz by calculating f(g(z)).

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y=f(x)=0.01x0.88, where x is
the animal's weight in grams.
a. Find the energy for the following animals swimming at the surface of the water.
i. A muskrat weighing 200 g
ii. A sea otter weighing 50,000 g
b. Suppose the animal's weight is given in kilograms rather than grams. Given that 1 kg = 1000 g, find a function x = g(z) giving
the animal's weight in grams if z is the animal's weight in kilograms.
c. Write the energy expenditure as a function of the weight in kilograms in the form y = az by calculating f(g(z)).
Transcribed Image Text:The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y=f(x)=0.01x0.88, where x is the animal's weight in grams. a. Find the energy for the following animals swimming at the surface of the water. i. A muskrat weighing 200 g ii. A sea otter weighing 50,000 g b. Suppose the animal's weight is given in kilograms rather than grams. Given that 1 kg = 1000 g, find a function x = g(z) giving the animal's weight in grams if z is the animal's weight in kilograms. c. Write the energy expenditure as a function of the weight in kilograms in the form y = az by calculating f(g(z)).
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