Textbook Problem

In Exercise 14.1.39 and Example 14.3.3, the body mass index of a person was defined as B(m, h) = m/h², where m is the mass in kilograms and h is the height in meters.

(a) What is the linear approximation of B(m, h) for a child with mass 23 kg and height 1.10 m?

(b) If the child’s mass increases by 1 kg and height by 3 cm, use the linear approximation to estimate the new BMI. Compare with the actual new BMI.