Optimization Question - Corner Cut to form a Box
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- čas přidán 27. 08. 2024
- We have a piece of cardboard that is 14 inches by 10 inches and we are going to cut out the corners and fold up the sides to form a box. Determine the height of the box and calculate the box’s maximum volume.
I have been puzzled by this question until I saw your exemplary explanation, thanks a million..
The penmanship ❤️
Thanks!
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How would you work out how the volume changes if x were to increase or decrease?
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More to come!
thank you@@mr.premsta6200
why do we expect that x is between 0 and 5? how do we get it?
Fold it by half so since the width of the rectangle is 10, half of 10 is 5. X can't go over 5 as it wouldn't make any sense yk?
Basically x is the length of the corner, so x can't be greater than 10. Since we are folding the box, it can't be like a folded up like a folder so the max is 5
Where did the 96x come from when you did dv/dx
Derivative of -48x^2 is -96x
why would it be between 2 and 5??
If x were 1, can I just write it as A=L-2 * W-2?
how did he get 16??
Hi sir, how -35/3 + 16 become 13/3? Thank you
addition of improper fractions
@@mr.premsta6200 Ahh right! Thnk you, Sir!
How did you get the equation in 5:44 ? T-T
he found the derivative of the previous equation
where did you get (x - 4)^2 in 7:50 plss
x2 - 8x + 16 is a perfect square
sir how can i expand i don't understand
How did you ger the-48x thank u
Expand the brackets & collect the like terms
Kati ramaro wow