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I'd answer both of these just through logic.

I am interested in seeing an algebric way too.

Show me the algebraic way to do the max please VWoid.

For the second problem:

   24 | 5

   25 | 0, 1, 3, 8

   26 | 4, 7, 9

   27 | 3, 6

For the first problem: 

   0 | 3, 8

   1 | 2, 2, 4

   2 | 0, 1, 3, 6

   3 | 4

Thanks Heureka,

For this answer but also for all your wonderful answers.   

Oh I'm sorry I usually don't log on reguarly... I'm sorry I couldn't help you but I see that the problem got solved!

Haha maybe....

If you have a problem such as   a·cos(A) / b·cis(B)

you can solve it as:   (a/b)·cis(A - B)

For this problem  a = 12      and  b = 4·sqrt(6)  so  a/b  =  sqrt(6)/2

and                      A = 7pi/6  and  B = 3pi/4        so  A - B  =  5pi/12

Therefore, the answer is:  sqrt(6)/2·( cos(5pi/12) + i·sin(5pi/12) ) 

you deleted only one post

We can use the tangent to find 1/2  of the width of the roof  =  A

tan (24°)  =  3.5 / A      rearrange as

A =  3.5 /tan (24°) ≈  7.86 m

And the width is twice this  ≈ 15.7 m

I already answered this!

When you repost include the address of the original question and ask for it to be answered on the original.

Find dy/dx for ( lny = e sinx ) 

\(lny=esinx\\ y=e^{esinx}\\ \frac{dy}{dx}=ecosx*e^{esinx}\\ \frac{dy}{dx}=cosx*e^{(esinx)+1}\\\)

The 'solution' was deleted because it was total rubbish. A large chunk of text copied from Wikipedia I think. 

The question has not been answered yet.

How can I find the minimum with completing the square? Thats the part I dont understand.

See my answer, here  :

https://web2.0calc.com/questions/help-plz_76625

This is a writing problem from AOPS, so we cannot say if you got it correct or not. Have you tried putting numbers into the boxes to figure out if the maximum and minimum values make sense? Also, try using details from the maximum instead of using just logic. I am taking the course right now. Don't be afraid to use the message board ;).

y = Ln ( 3x)

y '   =   3  /  [ 3x ]    =     1  / x

We have  more  variables than equations....therefore.....there will be infinite answers for this

The positive integers that satisfy this are :

p = 34, q = 8, r = 31, s = 8

lol YES 

we can make a classical music/rock band. It'll be like Vivaldi's Winter just blasting the the background and then just rock music everywhere.

I can see it now. 

THIS WAS DEFINITLY FATE 

Which post? If you were not a guest I would know which post you are talking about.

No relevant post is hidden that I can see.

Yes classical music + Rock

= SUPER COOLNESSS

Hey....I play rock guitar.....maybe  we could jam sometime....LOL!!!!

Thank you!