Melody

you are getting good at this   

Amplitudes have to be positive.  The answer is just 1

Did you graph it?  You should try to do a rough graph on paper every time and then you should check your graph using Desmos.

Now:

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What you have discovered its this

y=sinx   

Goes through (0,0),  And then goes up first.

it has a wavelength of 2pi.

It has a midline of y=0

 If you tack a number on, I mean add or subtract a number, then the graph stays the same shape it just moves vertially up or down by the tacked on number.

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Now graph y=sinx

and

y=3 sinx

and

y=4 sinx

All on the same desmos graph.   (note there is an invisable times sign between the number and sin)

What happens to the graph?

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So for y=10sinx

what will be

a) midline

b) y intercept

c) wavelength

d) amplitude

Thanks Geno

That is what I thought too.

You cannot say one infinity is equal to another infinity.

I still do not claim to understand properly  though.

Not sure I am convinced on all that.  But yes I think cilia are for moving.  So I would have put the same answer as you.

Yes it is very interesting.  I'd love for someone to explain the error to us both. 

I like EPs logic.

I just watched a video on them

Did you find this by yourself, or did you see it somewhere.  It is quite clever :)

I do not claim to well understand this either but I think it does not work because

the sum of  9+18+27.....  is a bigger infinity than the sum of 1+2+3 ....

Scratch that, I do not know.  I have never accepted Ramanujan's summation, though as with yours, I could not see the logic fault.

I have not seen the fault in your logic yet either.

It is very hard for you PC becasue you are missing so many of the basic concepts.

Put most of your effort into basic concepts and if you are lucky the other will clink into place afterwards.

Yes that is great EXCEPT

The midline is   y=6       you cannot say that it is just 6

I think you are starting to get the hang of these.

How about 

y=sinx   - 5

what effect do you think the -5 will have?

so for y=sinx -5  what would be

a) the y intercept

b) the midline

c) the wavelength

d) the amplitude.

See if you can graph it by hand and then check it with Desmos graphing calculator.

Practice graphing y=sinx   you must know what these very basic parent graphs look like.

Hi and thanks Geno.

Geno's answer is not queite right because Geno made a careless error.   The denominators must reduce.

It is without replacement.