Body mass index The body mass index (BMI) for an adult human is given by the function B = w/h 2 , where w is the weight measured in kilograms and h is the height measured in meters. (The BMI for units of pounds and inches is B = 703 w/h 2 . ) a. Find the rate of change of the BMI with respect to weight at a constant height. b. For fixed h , is the BMI an increasing or decreasing function of w ? Explain. c. Find the rate of change of the BMI with respect to height at a constant weight. d. For fixed w , is the BMI an increasing or decreasing function of h ? Explain.
Body mass index The body mass index (BMI) for an adult human is given by the function B = w/h 2 , where w is the weight measured in kilograms and h is the height measured in meters. (The BMI for units of pounds and inches is B = 703 w/h 2 . ) a. Find the rate of change of the BMI with respect to weight at a constant height. b. For fixed h , is the BMI an increasing or decreasing function of w ? Explain. c. Find the rate of change of the BMI with respect to height at a constant weight. d. For fixed w , is the BMI an increasing or decreasing function of h ? Explain.
Body mass index The body mass index (BMI) for an adult human is given by the function B = w/h2, where w is the weight measured in kilograms and h is the height measured in meters. (The BMI for units of pounds and inches is B = 703 w/h2.)
a. Find the rate of change of the BMI with respect to weight at a constant height.
b. For fixed h, is the BMI an increasing or decreasing function of w? Explain.
c. Find the rate of change of the BMI with respect to height at a constant weight.
d. For fixed w, is the BMI an increasing or decreasing function of h? Explain.
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