I dont quite understand, i understand in the sense of the chain rule. And i can physically solve them but i dont get mentally. If your original function is implicit and you substitute y for f(x), well thats not possible right? Because implicit means it cannot be expressed as a function without loss of detail. So how does this work in general, in this case i could assume its because a circle is symmetric.

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/pcvx'' < r2''xt frch u vfr < 8''~tmp mrch vk(Tpach) abv 4''r2''xt frch + 8''r2''xt frch < srchkn/ /id pcv at srchkn~tmp Dulles coil vn + newporch staachon beach laundererx/ /krch pxwv' u vfr vx'' < PAC i.e. WST POINTX < bac abv vfr 4''r2''xt frch vk'' chutx/

Can't get why we have to use the theorem to prove. If it's possible to change to polar isn't it better than getting confused with all that inequalities? In most examples I've seen u get either 0 meaning limit exists or some function with θ and because it varies u say the limit does not exist. Is that enough to prove not continuity? I'm too confused

If the z parameter is dropped we have the area over a line in the x-y plane under a surface f(x,y) which should be greater than the area between the surface defined and the integral of the differential of arc length of the line from (0,0,0) to (1,2,3). If f(x,y) is the plane z=2 and x=t, y=t, (t goes from 0 to 1) we get the rectangle ( made of two triangles) with area 2√2. But if the z parameter =2t and x=t and y=t, then the area between the surface f(x,y) =2 and the parametrized line would seem to be the triangle of area√2 or one half of the total rectangular area. Formally correct but we seem to be in an extra dimension.

Why is r included with dr dtheta

thank you ❤

thanks for helping me graduate uni!!

You don't even know how wonderful art of work you have done for the students even after a decade..❤❤

I do not allow my students to use this method.

This approach takes a shortcut by making z1 = 0, would have been nice to see the more general solution where z1 != 0 and substituting z^2 = x^2 + y^2 is not as straightforward as the video makes it seem

Thanks sister

your captions are ontop fo the math.

Came here because of chemistry

Very good job. But you have too many d's . And you can not pull out a negative 2. Negative 2 is not available to pull out in the end.

That was fab. Great job

I don't like the term approches +_ infinity. Better say goes to +- infinity. However I would say approaches to anumber. No one can approach infinity.

When the bigger cousin converges so does the younger.

I just found this video today. Extremely helpful! thank you!!

how do you have all the answers thanks so much

Hi Krista. Any chance you'll eventually offer a class in Discrete Math? Is that on your roadmap?

i have exam within 3 hours 🥲🥲

What Krista King doesn't understand in her videos is "Consistency." To keep all teachings and ALL concepts consistent throughout her videos, so that confusion is eliminated as MUCH as possible, considering everyone for the most part on this whole planet knows that modern math is useless and time waste beyond an attempt to pass a required exam. After which, we all just move on with our lives and not care about any of it. I have noticed that she tends to ramble in her videos, and run around in circles, only to come back to explaining the same concept that she had previously taught, only with a lot more confusion...An example would be video 170 'Water Levels in a Tank" on Udemy. Keep your videos consistent...Math is useless enough already.

I pay 25000 dollars to school, only to come learn better on youtube. Gotta be kidding me.

what the fuck is this

that bye bye at the end

youre great

thank you for the visualization teach

I wish i was born 12 years sooner, or maybe more? idk its 4am

So helpful <33 Thank you so much

This was way more helpful than a 2 hour lecture ]

Just discovered you 3 hours before my exam, wow I wouldn't have written anything if it wasn't for you

Calculus is fake you don’t need anything more voodoolicious than basic counting and arithmetic

Please don't sleep on this tutor she's too good!

Why is that the other tutor ....takes the 0 into the right side like this 12×+12=0

i love you

wonderful 😘😊 lecture short clear and convincing thanks 🙏 to you

We gonna top chemistry and physics exam with this one 🗣️ 🗣️🗣️🗣️

THANKS!!

What if the points three triple points

What if the points three triple points

FROM MOROCCO THANK YOU

You are making maths fun. From Pakistan

Your video is highly underrated. I am watching from Pakistan.

did not expect an absolute baddie at the end of the video

i know this was posted a long time ago but thank you so much!! life saver

Why is it so similar to Rolle's theorem

For real

I have achieved a positive changes