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Mar
5
comment Describing The Graph Of A Function In Two Variables
Thank you so very much for you help!
Mar
5
asked Finding The Domain of $f(x,y) = \sqrt{4-x^2-y^2}$.
Mar
5
accepted Describing The Graph Of A Function In Two Variables
Mar
5
comment Describing The Graph Of A Function In Two Variables
Oh, I see. An ordered pair has to satisfy that inequality, and if it can, then it will be in the domain?
Mar
5
comment Describing The Graph Of A Function In Two Variables
Well, then what did you mean by, "No, it is ordered pairs?" And how about the sentence "A function $f$ of two variables is a relation that assigns to every ordered pair of input values $(x,y)$ in a set called the domain a unique output value denoted by $f(x,y)$?" This comes from the article: math.ucsd.edu/~barnold/math4c/4C%20Lessons/…
Mar
4
comment Describing The Graph Of A Function In Two Variables
So, the domain is the values a function can take on, the function involving x's and y's?
Mar
4
comment Describing The Graph Of A Function In Two Variables
So, the domain is x and y values, which we just so happen to represent by ordered-pairs, and and not the ordered-pairs themselves?
Mar
4
asked Describing The Graph Of A Function In Two Variables
Mar
4
accepted Definition Of Symmetric Difference
Mar
4
comment Definition Of Symmetric Difference
So, if I wanted to prove that $A⊕B=(A−B)∪(B−A)$ is true, I could state that, by definition, it is true; and then give a little rationale on why it is true?
Mar
4
comment Definition Of Symmetric Difference
Oh, yes. I see the mistake, now.
Mar
4
comment Definition Of Symmetric Difference
Really, that's one way of defining it? It seems odd that the book wants me to prove that $A⊕B=(A−B)∪(B−A)$, seeing as it is the definition...
Mar
4
revised Definition Of Symmetric Difference
deleted 9 characters in body
Mar
4
asked Definition Of Symmetric Difference
Mar
4
accepted Differentiating piecewise functions.
Mar
3
comment Differentiating piecewise functions.
Well, the domain is expressed using intervals, so yes.
Mar
3
asked Differentiating piecewise functions.
Mar
2
accepted Determining Whether A Vector-Valued Functions Lies On A Cone
Mar
1
accepted Erroneous Answer Key?
Mar
1
comment Erroneous Answer Key?
I am terribly sorry for the mistakes on my part. Thank you for informing me.