Concept explainers
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.
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
Calculus: Early Transcendentals (2nd Edition)
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus
Calculus & Its Applications (14th Edition)
Calculus and Its Applications (11th Edition)
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning