Cake Tin Extension Question: Continuation from other cake tin forums

[Micro_usb]

Hi all,

As spoken about in the other threads on this cake tin investigation i have reached the extension question where i have to use Calculus and the Quadratic formula to prove one or both of the conjectures found in part A or B of this investigation. Would anyone like to not answer the question, but to give me a little more understanding into what i should do? A conjecture i have formulated in Part A is that the value of x = l/6 (length/6) and that expression for x finds the max volume of the square in respect to x....would anyone know how to prove that using calculus and give me a guide? Thanks heaps

Also i have attached the document to the investigation so you guys can have a browse

 

[stapel]

Also i have attached the document to the investigation so you guys can have a browse

Most people with a basic grasp of Internet security are not going to open a file from an unknown source. :shock:

As spoken about in the other threads on this cake tin investigation...

Which other threads? Please provide links to these discussions.

...i have reached the extension question where i have to use Calculus and the Quadratic formula to prove one or both of the conjectures found in part A or B of this investigation.

Please reply with the full and exact text of "part A or B" of "this investigation". Thank you!

 

[Micro_usb]

Here are a few links i have discovered in other threads relating to the same investigation:

http://www.freemathhelp.com/forum/threads/97133-Optimisation-of-open-top-tin-problem?highlight=cake

http://www.freemathhelp.com/forum/t...llowing-rect-piece-of-tinplate?highlight=cake

I have attached images of the investigation instead of a file (Sorry :-()

-So i have highlighted where i need help on and that is in the further extension part- The question asks me to prove my conjectures that i have made in the other parts using my knowledge of calculus and quadratic formula(i understand that) but do i have to make an expression for x? An expression using calculus that finds the max volume of the tin when i substitute a value of l (length)

-I may have muddled up my conjectures in the other parts of the investigation where it asks me to describe the relationship between the length and of x (which is the square being cut out the corners)- can someone please describe what i do for a conjecture? do i make an expression for x to find the maximum volume or do i just make an conclusion based on my findings when i graph the volume? I just need a refresher on conjectures as they confuse me a bit

-I hope im being specific enough if not let me know

thanks heaps once again stapel for the reply!

 

[stapel]

Here are a few links i have discovered in other threads relating to the same investigation:

http://www.freemathhelp.com/forum/threads/97133-Optimisation-of-open-top-tin-problem?highlight=cake

http://www.freemathhelp.com/forum/t...llowing-rect-piece-of-tinplate?highlight=cake

These posts relate to another open-top exercise. But they are not "the same investigation", as their original sheet was rectangular ("r" by "s" units) and yours is square (illegible units).

I have attached images of the investigation instead of a file

The images are too small to be completely legible. Sorry.

do i have to make an expression for x?

According to the assignment, yes.

An expression using calculus that finds the max volume of the tin when i substitute a value of l (length)

Since the sides' lengths are fixed, how are you "differentiating" with respect to this constant? Please show your work.

I may have muddled up my conjectures in the other parts of the investigation where it asks me to describe the relationship between the length and of x...

A good step will be to do the first part "with respect to x", rather than to whatever is the length. Once you have followed the instructions for the first step and properly laid the necessary foundation, the next step will likely be a bit more plain.