009A Sample Midterm 2, Problem 4

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To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters squared) using the formula:

where    is the height in centimeters and    is the mass in kilograms. Calculate the rate of change of BSA with respect to height for a person of a constant mass of    What is the rate at    and    Express your results in the correct units. Does the BSA increase more rapidly with respect to height at lower or higher heights?


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