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Answer :
Final answer:
The Haycock approximation is applied to estimate the surface area of a person, and involves calculating first and second partial derivatives with respect to Height and Weight, treating each as independent variables.
Explanation:
To estimate the surface area of a person using the Haycock approximation, one applies the formula: BSA = 0.024265 × Height(cm)^0.3964 × Weight(kg)^0.5378. Plugging in the values, we get:
BSA = 0.024265 × 165^0.3964 × 80^0.5378.
However, the question also asks for the first and second partial derivatives of this function, which means we need to treat the Height and Weight as independent variables and compute derivatives with respect to each one.
The first partial derivative with respect to Height is obtained by treating Weight as a constant and differentiating with respect to Height, and similarly for Weight.
Therefore:
- First partial derivative with respect to Height: ∂BSA/∂Height
- First partial derivative with respect to Weight: ∂BSA/∂Weight
- Second partial derivatives would be the derivatives of each of the first partials again with respect to their respective variables.
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