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mskyeg

  • 2 years ago

Miguel is designing shipping boxes that are rectangular prisms. The shape of one box, with height h in feet, has a volume defined by the function V(h) = h(h – 10)(h – 8). What is the maximum volume for the domain 0 < h < 10? Round to the nearest cubic foot.

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  1. mskyeg
    • 2 years ago
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    These are the possibl answers how do i answer the question and find out which one it is 10 ft^3 107 ft^3 105 ft^3 110 ft^3

  2. Jusaquikie
    • 2 years ago
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    I'm not sure what class this is for but if it's calculus, take the derivative of your function and you will get \[3h^2 -36x+80\] set it to zero and solve for h which i needed a calculator for but it is 2.94495 and 9.05505. Those are the points where the slope is zero and are your minimum and maximum points in the domain. if you plug in 2.94 in your function you will get 105.028 which is the maximum value that your area can be in the domain given.

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