The body mass index of a person is defined as B(m,h) = m/h^2 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 15 kg and height of 100 cm?
b) If the child’s mass increases by 1 kg and the height by 2 cm, use the linear approximation from part (a) to estimate the new BMI. Compare with the actual new BMI. (Note: You will have two answer here- the approximation of the BMI and the actual BMI.)