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In: Math

The amount of skin covering a person's body (in square feet) depends on the person's height...

The amount of skin covering a person's body (in square feet) depends on the person's height and weight. One model for estimating this skin surface area is

A(w, h) = 0.6416w0.425h0.725 square feet

for a person weighing w pounds who is h feet tall. If a person 5 feet 11 inches tall who weighs 130 pounds grows 3 inches in height, by approximately how much must this person's weight change if the skin surface area is to remain the same? (Round your answer to two decimal places.)

Solutions

Expert Solution

Let us list the given values,

The given surface area is,

find the partial derivatives,

plugin w, h values,

The change in surface area A is given by,

plugin the values,

rounding off to 2 decimals,


I hope this answer helps,
Thanks,
Keep posting questions.

milcah answered 2 years ago
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