thank you sir i realy appreciate your efforts i passed the mid term because of you i started from the beginning of the playlist and until now every thing clear for me thanks a lot

For question 12 you don't really need trig. as i was able to solve it using similar triangles but requires more algebra

why choose such a hard deritive for the first problem?

Thank you for this whole series! It's been a big help in getting through this class

thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Very good explanation 👍🏾

Instead of the VFW giving you, Dave Heffernan from Nikon Rama, who’s selling the weed since I’ve been here before it was legal and I can’t get my prescriptions so I only have one person to go to and he’s got a contract with his school, but I but I can’t have a contract with my school and immigration is still involved in the contract and job recruiting process because it’s a collective culture Dave Heffron. Dave had his share of drugs virgins rock ‘n’ roll. Whatever instead of they blacklisted me according to Dave, he had a hard time with the Covid vaccine. Also, they forced the vaccine on everybody here in order to be able to work. I want to see Dave for some weed while I was in grad school cyber class and I think that kind of freaked him out a little bit and then after Cabool, I thought the colonel was calling me down to a building using telekinesis like we do now and con Rama Corot and I went down there and I stood in the parking lot The building with the big sheriff badge on the top of it as you get close to the bridge, I think it used to be a cobra gold hideout as an embassy was hacking my computer the entire time I could feel that they were trying to tell me to go somewhere and do something so I went there and took pictures of myself there and sent them to the colonel I never got a response because he was expecting the VFW to understand how to do an online application. #POW.

At 13:32, why did we change it from e^(-t^2) to e^-t ?

Quite a nice way you have explained Asymptotes using the concepts of calculus, aka limits, which, surprisingly covers Asymptotes beyond the usual and more simpler Rational Functions. In the last example, finding 'm'' can be done WITHOUT multiplying the conjugate, as the numerator and denominator both have 'x' as the common factor, that cancel our, and then taking the limit as x--->- infinity gets the same answer. One last question - what will be the Slant Asymptote when the degree of the numerator differs from that of the denominator Polynomial function by say 2. The 'asyptote' if you can still call that, will be a parabola. Can you make a video with such a case?

at 5:11 ithink the factoring was wrong , beacause (-3) + 1 doesnt equal 5

A good one!

🎉🎉

For example 4, can you choose to get rid of the fraction by muktiplying each term by (x-2) and go on from there? i did that and it seemed so much easier, however, the answers would be different from yours. am i wrong?

You forgot to add where F'(x) DNE, which is at 0. The point at which x=0 is the actual local minimum!

great video except for that blue color

THANKS

Thanks you! I’m enjoying these videos very much!

Ex 1 is interesting … you could calculate the area from t=0 to t=pi using the same formula, but multiplying by 2, as this only calculates the area of the top half of the ellipse. Or, calculate the area of the bottom half of the ellipse between t=pi to t=2pi, and doubling that result. Then, x values increase from negative to positive, so you don’t need the negative sign outside the integral. However, the area would be negative because it’s in the negative (y<0) half of the coordinate system. So, the provided formula works for an entire revolution of t, with the negative sign applying correctly for all values of t! I hope I have that right!

watch three times but still understand nothing about the last example hope i dont get that kind of question on my exam🥲🥲🥲🥲🥲🥲🥲🥲🥲🥲🥲🥲🥲

For example 4, the direction of the curve wasn’t shown. I think, as t increases, the logarithm increases, so the curve should be marked as moving in the positive x direction, yes?

What a teacher , u r the goattt ❤

golden channel decent proof

In Example 4, I see a possible very minor simplification : (-1)^(n-6) can be expressed as (-1)^n , as the alternation between -1 and 1 remains the same. Sorry for these little points; I’m greatly enjoying this refresher for me, just encountering your terrific videos years after they were published!

A minor correction (I think) with example 3: you stated that 1/(1+x^2) = 1/(1-[-x]^2) . I think that should read 1/(1+x^2) = 1/(1-[-(x^2)])

Thanks for these videos! For example 2, can we tidy up the final result by changing the summation terms by starting at n=1 (instead of n=0), thereby changing each of the powers from (n+1) to just n?

Professor Math for Thought, thank you for the Calculus Two final exam review, however, part of your Playlist goes into Calculus Three problem selection. I have tutored Calculus Two and students struggle with Calculus Two. Instead of Calculus Three problems, there are many more topics in Calculus Two that could be covered in your lengthy Playlist.

Example 3, 21:35 first line should have a positive 3/4

13:20 why use squeeze theorem and not (sinx)/x = 1 law. I multiply top and bottom by (1/x) and get that the limit is 1

Thank you .. really helpful ❤

Sharp!!!!

why did we take the test values for the quadratic at minute 20:07 , but not for the quadratic at minute 5:24?

In Ex 2, you mentioned cos(n) > 0. I thought “why can’t cos^2(n) = 0 as well, in which case we should say that n/( n^2 - n ) is >= n/(n^2) , not > . However, I realised this is because n is a natural number and cos^2(x) is zero only when x is a multiple of pi.

love you my guy... thank you

How come in example two when you are dividing by theta cubed, why can u not split it into theta squared / theta squared and multiply that by sin(6 theta ) / theta? I tried it and i got a different answer so why would it be different(unless i just did the question wrong asw)?

Who is here in 2024

you make these concepts easy for normal people to understand. god bless dude you've got crazy talent

thank you so much. l've been searching for a simple way to understand this

This video is so well put together, and the examples done are perfect to show how induction can be used with sequences. Thank you very much

Thank you! It's my first year in university, the algebra professor started the first class with this and I couldn't understand anything 🫶🏽

Wow. You made this so much easy. Thank you

Thank you so much for the great explanation

36:55 why is it not In subscript 2(n-1)? because in the previous step the exponent was 2n-2.

Amazing video, clear and consistent

Your explanatios are very clear,thank you for those gems <3

Awesome video.... love the way you took time to ezplain each step you took.. I Didn't understand anything (i'm relatively new to calculus but have an exam that might cover this in 6 days) but i hope to understand it as much as you someday ❤

nice

He never finished linear algebra 😢

I don't know if I commented before, but this video is terrible. Too much yapping on, and not very clear in parts. For example, why bring up the mystery of the formulae for simple shapes just to go straight on to say the FTOC shows how differentiation and manipulation are related? I would recommend scripting this. You obviously enjoy this, and it seems you have a good understanding, that's just wasted ig your video is messy - especially given all the other material on KZbin. I appreciate the upload, however 👍🏻

i really want to thank you because you greatly helped my studies and if your seeing this THE VIDEOS YOU PROVIDE ARE SIMPLE AND A LOT HELPFUL than any modules and teachers I've ever met. Please continue uploading and you have got yourself a loyal subscriber. Thanks a lot

In example 1, isn't (-2x^3 / 3) + (6x / 3) = (-2x^3 + 6x) / 3 ?