Melody

\(y=\sqrt{x}\\ y=x^{0.5}\\\\ \frac{dy}{dx}=0.5x^{-0.5}\\\\ \frac{dy}{dx}=\frac{1}{2\sqrt{x}}\\\\ \)

Hi,

I am in Cornwall area in the South West of England.  The scenery is beautiful.  This is a photo that I took today.

View on the South side of Port Isaac

https://gyazo.com/b59c3191f07711c16f5a6075a3c618f3

View on the North side of Port Isaac

https://gyazo.com/5324959766bd5391d6e5321103c03920

Port Isaac is where the show Doc Martin is filmed.  I had fun trapsing all over the village trying to spot all the buildings etc used in the show.  I found, Doc Martins House and the school and of course the harbour.  It was fun.  I don't think many U.S. people know this show but it is very well known in England and Australia and probably in many other parts of the world. 

https://gyazo.com/9b4829441fc0c426fb7b013d9c577b93

Here is Port Isaac.  The roads are very steep and narrow.  

https://gyazo.com/f8f03f4f25c6acace7cdcd2001471acf

\((2s^8t^2)^7\\\\ =2^7s^{56}t^{14}\\\\ =128s^{56}t^{14}\\\\ \)

\(12\times 8 = 96\\\\ \mbox{so, divide both sides by 8} \\\\ 12=\frac{96}{8}\\\\ \)

The sum of 5x(squared)y, 4x(squared)y, 8x(squared)y is

You can add like terms and like terms are where all the letters are the same and each letter (pronumeral) is raised to the same power.

Each of these terms is  x squared y.  Which you could have written it as    x^2y    SO you can add them all together.

5 lots of x(squared)y  +    4  lots of   x(squared)y  +   8 lots of    x(squared)y 

= (5+4+8) lots of  x(squared)y 

= 17 lots of  x(squared)y 

= 17 x(squared)y 

= 17 x^2y

\(=17x^2y\)

Thanks Eloise,

I will maks sure I say hello to every member of your family LOL  :)

Hi DarkBlaze,

Yes i am having fun and I am very glad you changed your mind about deleting your account :)

There is no difference.  Thgeyt both mean inverse sine (or arc sine)  

They have to ba followed by a number between -1 and +1

I am still in London.  Here is another pic :)

The Palace of Westminster is the meeting place of the House of Commons and the House of Lords, the two houses of the Parliament of the United Kingdom.   The clock is called Big Ben.  (Wikipaedia)

https://gyazo.com/db6283c1de8cbf9980dfc7ee98076c9b

Thank you TR for filling in all the gory details :)

I arrived in London this afternoon.  We took the train from the airport to the heart of London.  We alighted at St. Pancras Station.  Our hotel is nearby, we walked,  it was raining of course.  England is famous for its rain.

Anyway I took this photo of the outside of the station this evening.  I like it because you an see the red double decker buses too :)

https://gyazo.com/a7c568d80fa51c2911b9e0c181097064