Exer. The ancient Greeks gave geometric proofs of the factoring formulas for the differenc...

Exer. The ancient Greeks gave geometric proofs of the factoring formulas for the difference of two squares and the difference of two cubes. Establish the formula for the special case described.

Calorie requirements The basal energy requirement for an individual indicates the minimum number of calories necessary to maintain essential life-sustaining processes such as circulation, regulation of body temperature, and respiration. Given a person’s sex, weight w (in kilograms), height h (in centimeters), and age y (in years), we can estimate the basal energy requirement in calories using the following formulas, where Cf and Cm are the calories necessary for females and males, respectively:

(a) Determine the basal energy requirements first for a 25-year-old female weighing 59 kilograms who is 163 centimeters tall and then for a 55-year-old male weighing 75 kilograms who is 178 centimeters tall.

(b) Discuss why, in both formulas, the coefficient for y is negative but the other coefficients are positive.