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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.
 one year ago
 one year 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.
 one year ago
 one year ago

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mskyegBest ResponseYou've already chosen the best response.0
@Hero left and i really need to get this done do you think you can help?
 one year ago

MertsjBest ResponseYou've already chosen the best response.0
This function will have a maximum when h^218x + 80 is a maximum.
 one year ago

freewilly922Best ResponseYou've already chosen the best response.0
\[h^2 18x +80\] is an open up parabola so doesn't have a max. Is this problem the type they will let you use graphing calculators on the assessment?
 one year ago

mskyegBest ResponseYou've already chosen the best response.0
thankfully yes so do i just enter that equation into a calculator
 one year ago

MertsjBest ResponseYou've already chosen the best response.0
But it does have a local maximum on the interval from 0 to 10
 one year ago

freewilly922Best ResponseYou've already chosen the best response.0
If you can graph the function on the calculator there is usually a root finder or a point finder. Use this. @Mertsj, yes, but the local maximum of the function you gave \[h^218x +80\] will then be at 0 or 10 since it is an open up parabola. If you graph the cubic the local max they are looking for is between 0 and 8 since dw:1352080536936:dw
 one year ago

freewilly922Best ResponseYou've already chosen the best response.0
Unless you meant the local min of the parabola?
 one year ago

mskyegBest ResponseYou've already chosen the best response.0
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
 one year ago

freewilly922Best ResponseYou've already chosen the best response.0
Ok, if you can graph the function \[v(h) = h(h8)(h8)\] most calculators can find the points t they graphed, so you need to find the point that they ask for.... the maximum volume for the domain. Then ask yourself what is this. This is the height that gives you the maximum volume for that domain. You need the volume associated with it to choose an answer. They give you a function that gives you a volume when you plug into it a height. The trick is using your calculator to find the max.
 one year ago

mskyegBest ResponseYou've already chosen the best response.0
I tried plugging it into the calculator and it says that its not valid
 one year ago
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