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 one year ago
if you have a rectangle that is 10 by 18 and you cut out the corners equally to make it a box how do you maximize the volume and what is the volume?
 one year ago
if you have a rectangle that is 10 by 18 and you cut out the corners equally to make it a box how do you maximize the volume and what is the volume?

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satellite73
 one year ago
Best ResponseYou've already chosen the best response.1first the expression that gives you the volume of the box \[V(x)=x(10x)(18x)\] domain will be \((0,5)\) expand, take the derivative, which will be a quadratic, find the critical points by setting it equal so zero and solve for \(x\)

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1hope you are good from there, it is basically algebra from here on in

Sallyride666
 one year ago
Best ResponseYou've already chosen the best response.0is it a cubic or a quadratic?

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1\(V(x)\) is cubic, \(V'(x)\) is degree 2

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1ooh damn damn damn i am way wrong!!!

Sallyride666
 one year ago
Best ResponseYou've already chosen the best response.0oh sorry forgot to take the derivitive. and should it be x(182x)(102x) bc you take the corner away from each side?

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1sorry about that try \[V(x)=x(102x)(182x)\] thats better

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1yes, you are right, i am way off

Sallyride666
 one year ago
Best ResponseYou've already chosen the best response.0dont worry about it your the genius

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1obviously not but in any case algebra gives you \[V(x)=4 x^356 x^2+180 x\] and then it should be more or less routine

Sallyride666
 one year ago
Best ResponseYou've already chosen the best response.0thanks. if you have a box and the lenghth is 12cm and the width is 5cm and the width is increasing at 2 cm/sec and the length is decreasing at 2 cm/sec what is the DA/dt for the area perimeter and diagonal
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