than you so much 😍

what if they show appocalyptic survival world bit more like kingdom of the planet of the apes

On the x coordinate you have an error you should multiply with y not x .Can you confirm that or it's on my side

Which software is she using for writing?

It is not easy to find such Sn(formula) for given arbitrary series.

thank's

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Thankyou so much mam

Thank you so much i was really very confused and now finally i got the real concept of these powers.

thank you so much!!! i found this video to be so helpful <3

what does the can look like with the minimized surface area with its original volume. How is it gonna be different from the original shape of the unoptimized can?

Please Replied to me i am very interest this coures

Sir i need this Cours so how can i contect if i want ti get the coures matetials.

Thank you

so what if the x component vector is not 0?

You are the best thank U❤

Wonderful though audio Coukd be louder

I've been looking ahead to differential equations, and this channel explains it so well! Hopefully another upload will come soon.

Good it 4 not 40

Omg, you made the soooo much easier to understand

Thank you so much. ❤❤ I understand division much better now.

f:=t -> i*t+k*e^(-i*t)

You sound sweet🙂

Thank you so much your are the best

This video was so helpful thanks so much. ❤

This is a particular case of the intermediate value theorem, called Bolzano's theorem. The intermediate value theorem says that for any real k, if f(a)<k<f(b), there is c=>f(c)= k.

thumbs absolutely up !

seeing this after I got a 5 on my ap calc test and I was literally never taught this

i loved your videos thanks

How y2+z2 come anyone please? 1:53

FIrstly, thanks for explaining this, Secondly, please what material did you share the surface pictures from or is part of your lesson note

bless up

Indians here 🇮🇳🇮🇳 👇

glad that i found your video, my exam is tomorrow 😭

Finally understood , before i was wondering why is it implict different like just shuffle the terms around u will reach it & it turns out u can do it but its very complicated to solve organise and would have bad accuracy & impossible in some cases. And the [f(x)] was simplest and best explaination

I love how you explained things so throughly, thank you, I wish I could’ve find you a week ago when I had my Cal 2 final; Still passed with a A tho 😁😁

Thank you. Nice explanation.

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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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.