Differentiate $x \sqrt{1+y}+y \sqrt{1+x}=0$
If $x\sqrt{1+y}+y\sqrt{1+x}=0$ find $y'$
Does Windows 7 allow auto-login with a stored password, like TweakUI did? Can an infectious diseases come from a plant? Coronavirus, HIV, 1918 Flu, etc. They all come from animals. Do any infectious diseases (in humans) come from plants? More specifically, are there viruses that infect plants that can mutate to infect humans? What is the product of the empty set? Give:  $fn(S)=\prod_{x\in S}x$  what is:  $fn(\emptyset)$  I can see reason that it would be defined as 1 or 0.    Note: I thought about restricting the domain of $S$ but that would make the problem less general. If there is no general answer then answers for restricted domains would be valid. How prove this $\frac{a}{(bc-a^2)^2}+\frac{b}{(ca-b^2)^2}+\frac{c}{(ab-c^2)^2}=0$ The following code works as expected in both Python 2.5 and 3.0:  a, b, c = (1, 2, 3)  print(a, b, c)  def test():     print(a)     print(b)     print(c)    # (A)     #c+=1       # (B) test()   However, when I uncomment line (B), I get an UnboundLocalError: 'c' not assigned at line (A). The values of a and b are printed correctly. This has me completely baffled for two reasons:   Why is there a runtime error thrown at line (A) because of a later statement on line (B)? Why are variables a and b printed as expected, while c raises an error?   The only explanation I can come up with is that a local variable c is created by the assignment c+=1, which takes precedent over the "global" variable c even before the local variable is created. Of course, it doesn't make sense for a variable to "steal" scope before it exists.  Could someone please explain this behavior? dotted line with appropriate length for answering a question? Kindly have a look at this code   \documentclass{article} \usepackage{fontspec} \defaultfontfeatures{Ligatures=TeX} \usepackage[small,sf,bf]{titlesec}  \setromanfont{Georgia} \usepackage{amssymb}  \newcommand{\checkbox}{$\square$} \begin{document}  If appropriate \checkbox  . Why appropriate, specify? ........... If inappropriate \checkbox . Why inappropriate, specify? .............. If appropriate \checkbox . Why appropriate, specify? ...........\\ If inappropriate \checkbox . Why inappropriate, specify? ...........  \end{document}   How can I make a dotted like, of appropriate length so that it is depressed, fainter, has consistent length so that it occupies the remaining white space in the  line or has specified length. I have a shapefile with a "id" field in which some non-unique ID numbers exist (don't ask).  When I try to import this to a PostGIS database using QGIS' DB Manager, it tries to re-use those IDs are unique primary key and fails.  The "Primary key" option is not ticked. "id" is shown in grey next to it.   How can I make DB Manager ignore an existing "id" column and just create a new SERIAL field or something like that?  QGIS 2.18. What is a word for getting an award in a competition or being one of the top three? I am writing about a competition I won in which I got third place. I want to say that I am the first out of my school to get an award in this competition, with a third place award but that sounds a little bulky. What would be a short phrase or word to describe this. I am thinking maybe I can say "I placed in the competition" but I am not sure that will work. What functionality do 'marks' offer in the El Capitan Terminal? Since upgrading to OS X El Capitan, I've noticed a change in the Terminal: Executed lines show an opening bracket on the left, and a closing bracket on the right, as shown in this screenshot:    Similar questions have been asked here:          Some of the questions are referring to these brackets as marks, and the Terminal's Edit menu has a couple of entries related to marks, for example:   Edit > Marks > Mark as Prompt and Send Return Edit > Clear to Previous Mark Edit > Navigate > Jump to Previous Mark     Is there a summary of what these marks can be used for? I have not seen any reference to this new feature in any of the El Capitan feature overviews. "OpenID 2.0 for Google Accounts is going away"; will this affect Stack Exchange? Alternative version of the Final Value theorem for Laplace Transform Does anyone know the location of this login hotmail background? List of apps ever downloaded Custom related list button is not working in partner portal I have created custom button called "New Employee" on employee object and it is related with both account and contact objects via lookup relation. If i click on "New Employee" button on employee related list under Account detail page, working fine in both salesforce classic and lightning experience but not in partner portal.  /a03/e?CF00N342300009cAB8={!Account.Name}&amp;CF00N342300009cAB8_lkid={!Account.Id}&amp;CF00N90000009cUVB={!Contact.Name}&amp;CF00N90000009cUVB_lkid={!Contact.Id}&amp;retURL={!Account.Id}   Any help on this. $\mathbb{Z}[X]/(X^2-1)$ is not isomorphic with $\mathbb{Z}\times \mathbb{Z}$ given a polynomial $p(x,y)$ from $\mathbb Z[x,y]$. I want to substitute $x=1$ leaving $y$ as it is. The command Value(p,[1,y]) does not work. Can you give me a hint?  After that it gets a little more complicated. Let  $$p(x,y)=x^6+y^6$$ After substituting $x=1$ we have $p(1,y)=1+y^6$. Given a natural number $j$. I want to find all expressions $y^j$ in $p$ and substitute these $y^j$ by $1$ and the others by $0$. In this case (and for $j=6$) we would get $1+1=2$. If $$p(x,y)=x^4y^2+x^2y^6$$ we should get $0+1=1$. Is there any way to do this?  Thanks for reading! edit: Well, it turns out I used the function Value wrong. The right code for my problem would be Value(p,[x,y],[1,y]). So my first question is solved. jQuery: Check if image exists Are The Lazarus Effect and Dune in the same universe? There are similar aspects between Dune, and the technology in The Lazarus Effect.   Noticeable similarities:   Lasguns - this weapon exists in both of the books, and has similar architecture in both books.   Merman and Ixians - are both technologically sophisticated in similar ways. Rely on mechanical technology as opposed to organics or similar.   Is this merely Herbert sticking to his original style? How precisely do I need to post close to 7:00 (somewhere) to get hero of time? Timezones... are complicated. We have full hour offsets, half hour offsets...  And time keeping isn't always accurate. So does the Hero Of Time hat assume full or half hour offsets (or literally any timezone) and how close to 7:00 at somewhere do I have to post for my hat? Evalute $ \lim_{n\rightarrow \infty}\sum^{n}_{k=0}\frac{\binom{n}{k}}{n^k(k+3)} $