I just finished a multivariable calculus course and went to check

File: Screen Shot 2016-05-03 at 7.42.27 PM.png (164KB, 1406x1138px) Image search: [Google]

164KB, 1406x1138px

>>8048474
It's a degenerate hyperbola

x^2 = y^2
=>
± x= ± y

That's both lines

>>8048488
Sorry, should really change
± x= ± y
into
x = ± y.

Same thing.

>>8048474
are you talking about the function [math]f(x,y)=cos(1/(y^{2}-x^{2}))[/math] ?

be more specific

>>8048495
Yes

>>8048554
You can't graph that, not by hand. Try putting it in wolfram alpha.

>>8048753
>you cant graph that

what are you talking about? you can't be serious...

you can take the first derivative to get an idea about the slopes, minima/maxima, second derivative to determine if mix/max, etc.

this is typical multivariate calculus material. did you even get past babby trigonometry? try to think about OPs problem next time before you choke on your own saliva

>>8048881
>doing multivariable calculus
>not jumping straight to analysis after learning algebra
>thinks drawing pictures has anything to do with understanding the problem
kek, enjoy your business degree math

>>8048889
i did my first real analysis course simultaneously with multivariate cal

i never said multivariate cal was taught well, just that plotting functions is a typical part of the curriculum

learn to read you stem sperglord

>>8048881
Then fucking graph it. Why type all that if it's so trivial?

>>8048932
it's forms an 'X' type depression in a plane corresponding to approx. z = 1 where the 'X' is the neighbourhood y = x and y = -x where we see the graph "explodes" in periodicity similar to a trigonometric function y = sin(1/x) as we approach x = 0.