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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
 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
 one year ago

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satellite73Best ResponseYou've already chosen the best response.1
first 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 \(x\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
hope you are good from there, it is basically algebra from here on in
 one year ago

Sallyride666Best ResponseYou've already chosen the best response.0
is it a cubic or a quadratic?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
\(V(x)\) is cubic, \(V'(x)\) is degree 2
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
ooh damn damn damn i am way wrong!!!
 one year ago

Sallyride666Best ResponseYou've already chosen the best response.0
oh sorry forgot to take the derivitive. and should it be x(182x)(102x) bc you take the corner away from each side?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
sorry about that try \[V(x)=x(102x)(182x)\] thats better
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
yes, you are right, i am way off
 one year ago

Sallyride666Best ResponseYou've already chosen the best response.0
dont worry about it your the genius
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
obviously 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
 one year ago

Sallyride666Best ResponseYou've already chosen the best response.0
thanks. 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
 one year ago
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