(II) A two-component model used to determine percent body fat in a human body assumes that a fraction f (< 1) of the body's total mass m is composed of fat with a density of 0.90 g/cm³, and that the remaining mass of the body is composed of fat-free tissue with a density of 1.10 g/cm³. If the specific gravity of the entire body's density is X, show that the percent body fat (= † × 100) is given by 495 %Body fat = X 450. -

Advanced Engineering Mathematics
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Accompany the problem with a free body diagram as well.

36. (II) A two-component model used to determine percent body fat
in a human body assumes that a fraction f (< 1) of the body's
total mass m is composed of fat with a density of 0.90 g/cm³,
and that the remaining mass of the body is composed of fat-free
tissue with a density of 1.10 g/cm. If the specific gravity of the
entire body's density is X, show that the percent body fat (= † ×
100) is given by
495
%Body fat
- 450.
Transcribed Image Text:36. (II) A two-component model used to determine percent body fat in a human body assumes that a fraction f (< 1) of the body's total mass m is composed of fat with a density of 0.90 g/cm³, and that the remaining mass of the body is composed of fat-free tissue with a density of 1.10 g/cm. If the specific gravity of the entire body's density is X, show that the percent body fat (= † × 100) is given by 495 %Body fat - 450.
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