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Math Help - finding (x,y)

  1. #1
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    finding (x,y)

    I'm trying to help a friend w/ calc but it's been a long time since i've done it. it's on partial derivatives. Any help is appreciated!!!:

    The function S(w, h) = (15.63w^0.425) * (h^.0725) gives the approximate surface area (in sq. inches) of a person h inches tall who weighs w pounds.

    1) At his full height of 5'9", he goes to the gym and bulks up. At what rate is his body surface increasing when he reaches 140 pounds?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by buckaroobill View Post
    I'm trying to help a friend w/ calc but it's been a long time since i've done it. it's on partial derivatives. Any help is appreciated!!!:

    The function S(w, h) = (15.63w^0.425) * (h^.0725) gives the approximate surface area (in sq. inches) of a person h inches tall who weighs w pounds.

    1) At his full height of 5'9", he goes to the gym and bulks up. At what rate is his body surface increasing when he reaches 140 pounds?
    For fixed height the rate of change of surface area is:

    D_w S(w,h) = (15.63)*(0.425)w^(0.425-1) * (h^.0725) sq in/pound

    where D_w denotes the partial differential with respect to w.

    RonL
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