LIFE SCIENCE APPLICATIONS Swimming Energy The energy expenditure (in kcal / km ) for animals swimming at the surface of the water is given by y = f ( x ) = 0.01 x 0.88 , Where x is the animal's weight in grams. Source: Wildlife Feeding and Nutrition. a. Find the energy for the following animals swimming at the surface of the water. i . A muskrat weighing 800 g ii . A sea otter weighing 20 , 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 = a z b calculating f ( g ( z ) ) .
LIFE SCIENCE APPLICATIONS Swimming Energy The energy expenditure (in kcal / km ) for animals swimming at the surface of the water is given by y = f ( x ) = 0.01 x 0.88 , Where x is the animal's weight in grams. Source: Wildlife Feeding and Nutrition. a. Find the energy for the following animals swimming at the surface of the water. i . A muskrat weighing 800 g ii . A sea otter weighing 20 , 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 = a z b calculating f ( g ( z ) ) .
Solution Summary: The author calculates the energy expenditure for the muskrat and sea otter, based on a function that assigns to each element exactly on element from another set.
Swimming Energy The energy expenditure (in
kcal
/
km
) for animals swimming at the surface of the water is given by
y
=
f
(
x
)
=
0.01
x
0.88
,
Where
x
is the animal's weight in grams. Source: Wildlife Feeding and Nutrition.
a. Find the energy for the following animals swimming at the surface of the water.
i. A muskrat weighing
800
g
ii. A sea otter weighing
20
,
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
=
a
z
b
calculating
f
(
g
(
z
)
)
.
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