The body mass index (BMI) is a number that can be calculated for any individual by using the equation BMI = 703w where w is weight in pounds andh is height in inches. For 200-pound individuals, this formula become 703(200) 140,600 f(h) = h2 (a) Find f'(h), the rate of change of BMI with respect to height for 200-pound individuals. (b) Would you expect f'(h) to be positive or negative? Why? (c) Find f'(61). (a) f'(h) =I

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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703w
The body mass index (BMI) is a number that can be calculated for any individual by using the equation BMI
where w is weight in pounds and h is height in inches. For 200-pound individuals, this formula become
12
703(200)
f(h) =
h2
140,600
h2
(a) Find f'(h), the rate of change of BMI with respect to height for 200-pound individuals.
(b) Would you expect f'(h) to be positive or negative? Why?
(c) Find f' (61).
(a) f'(h) =
Transcribed Image Text:703w The body mass index (BMI) is a number that can be calculated for any individual by using the equation BMI where w is weight in pounds and h is height in inches. For 200-pound individuals, this formula become 12 703(200) f(h) = h2 140,600 h2 (a) Find f'(h), the rate of change of BMI with respect to height for 200-pound individuals. (b) Would you expect f'(h) to be positive or negative? Why? (c) Find f' (61). (a) f'(h) =
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