buddhababe

Woahhhh

You can puncture a torus?

@KasmirKhaan noooope

i studied a lil' hamiltonian

@Daminark Thank you for understanding, haha

Does anyone know how to find the area of a given region?

Insight is hard!

Haha. Okay.

I'm looking to learn about Darboux/Riemann!

Hiiii

nevermind

hola :)

Prove that a subset S of R^n with Jordan content 0 has an empty interior.

Any help would be appreciated.

Let $\textbf{F}(x,y,z) = (xyz, x^{2} + yz)$ for $(x,y,z) \in \mathbb{R}^{3}.$ Find the first-order \hphantom{stuff}approximation of $\textbf{F}(x,y,z)$ near the point $(1,2,3).$

Nevermind! Got it!

But how do you make a vector arrow in share latex? haha

Nevermind!

Help the buddha out?

FML

Damn. I'm still stuck on this proof. I've literally tried 5 different methods.

hahahaha

Would anyone be able to work on this easy proof?

Hola!

Oh, okay. That helps.

Oh, okay.

lower/upper not even on the paper haha

integrate the function, evaluate

so if the professor was non-specific about lower/upper

okay, yeah

Do I just integrate?

Yep! :)

are the subintervals

2, 4, 6, 8

so from 0 to 8 there are 4 rectangles

Oh, okay.

I know the function and the interval?

Haha. Sorry for sounding sassy...

I'm just trying to find the area under the given curve!

n(n+1)^2 - 4(n(n+1)) + 6

So then n(n +1)

Oh, okay.

Do you know if I can evaluate it as simply n^2 -4n + 6 as n approaches infinity?

Yeah. I'm so confused.

What is $M_i$?

Yes, so I'm looking for the Darboux lower sum.

I believe the professor would like the area of the Riemann sum of the four rectangles under the curve.

I know that $\triangle x = 2$ and I get that the area is 12.