Melody

You can adjust that yourself.

Thanks for answering 

however

Please can you stop posting your answers in boldface. 

It makes them harder to read.

You are getting a lot of practice posting pic, learn to do them the right way around!

If it comes out the wrong way, delete it, and try again. (rotate your file on your computer or phone)

You might as well learn something by posting here!

I do not know intersecting cord theorum.

I was just going to use distance XB=distance XE and solve the equation for k

X(1,k)  k is the radius.

At least post it the right way around!

I do not think that is correct asinus.  

My image is below.

I was going to give you teaching instruction but CPhill is answering so I am sure he will give you the whole lot.

I hope you have the sense to learn from it.

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.

Thanks Heureka,

For this answer but also for all your wonderful answers.   

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 ) 

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