The body mass index B of a person of mass m kg and height h meters is given by the formula B(m,h)=m/h^(2). One child increased his previous height of 1.2 meters by 3 centimeters, and his mass increased from 29 kg to 32 kg. Use the differential to estimate how much the child's body mass index has changed.

Human Anatomy & Physiology (11th Edition)
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The body mass index B of a person of mass m kg and height h meters is given by the formula B(m,h)=m/h^(2).
One child increased his previous height of 1.2 meters by 3 centimeters, and his mass increased from 29 kg to 32 kg. Use the differential to estimate how much the child's body mass index has changed.

Expert Solution
Body mass index:-

Formulla Of BMI = (mass in kg) ÷ (height in meter)2

So initial BMI Of child = 29/(1.2)2 = 20.14

And final BMI  of child = 32/(1.23)2 = 21.15

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