EXAMPLE 5 Body mass index The body mass index (BMI) for an adult human is given by the function B(w, h) = = W w/h², where w is weight measured in kilograms and h is height measured in meters. a. Use differentials to approximate the change in the BMI when weight increases from 55 to 56.5 kg and height increases from 1.65 to 1.66 m. b. Which produces a greater percentage change in the BMI, a 1% change in the weight (at a constant height) or a 1% change in the height (at a constant weight)?

EXAMPLE 5 Body mass index The body mass index (BMI) for an adult human is given by the function B(w, h) = = W w/h², where w is weight measured in kilograms and h is height measured in meters. a. Use differentials to approximate the change in the BMI when weight increases from 55 to 56.5 kg and height increases from 1.65 to 1.66 m. b. Which produces a greater percentage change in the BMI, a 1% change in the weight (at a constant height) or a 1% change in the height (at a constant weight)?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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