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Applied Calculus

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For the average person that is still growing, the rate of change in weight W (in pounds) with respect
to height h (in inches) is approximately dW/dh=0.0015h^2 pounds per inch. Suppose that the average
person that is 60 inches tall weighs 108 pounds. Find the weight of an average person that is 5 feet
10 inches tall.

  • Applied Calculus - ,

    dW/dh = .0015 h^2

    W = constant + .0005 h^3
    108 = c + .0005(60)^3
    108 = c + 108
    c = 0
    so
    W = .0005 h^3
    W(70) = .0005 (70)^3
    = 171.5

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