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Error Bound Formulas for midpoint and trapezoid rules, sect7.7 

blackpenredpen
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Комментарии : 60   
@violabunnie
@violabunnie 4 года назад
I'm taking calc 2 for the second time, and of course, it's online which makes it even harder. My professor barely explains anything (like how to calculate the K value...) You have been an absolute saviour thus far!! I love how you always explain each step and explain very clearly. Thank you so much! I think I can pass the class this time:)
@blackpenredpen
@blackpenredpen 4 года назад
Best of luck! You can do it!!
@malikbodie475
@malikbodie475 3 года назад
i know im randomly asking but does someone know of a trick to log back into an instagram account? I was stupid lost the login password. I appreciate any tips you can offer me.
@ethanwild3301
@ethanwild3301 2 года назад
@@malikbodie475 they give you log in pins to make it easier
@Elliot.L87563
@Elliot.L87563 3 месяца назад
Mine explains everything but very fast, taking it during the summer in high school…..
@BITStudioCode
@BITStudioCode 9 дней назад
Bro u r the only tutor that teaches us step by step, my math teacher is like always skipping steps cuz apparently all my other classmates are geniuses and I'm just dumb. Thanks again man!!!
@maclancastermusic4757
@maclancastermusic4757 3 года назад
God I feel like youre the only calc tutor who explains every single step. I really appreciate you.
@markgross928
@markgross928 2 года назад
I'm taking Calc 2 and am preparing for my second test. Our text (probably the same one you use) has the answers you showed according to the book. I kept coming up with your answer (the more accurate way). I spent 5 hours trying to figure out what I was doing wrong. Then I found your video and now know I had the more correct answer all day! I have watched many of your videos and you do a great job. Thank you for making the videos. The videos have a timeless value. Even 5 years after making this one, it still works for students.
@blackpenredpen
@blackpenredpen 2 года назад
Thank you so much Mark! Wishing you the best in your calc class! 😃
@marygrant5168
@marygrant5168 5 лет назад
YOU ARE THE ABSOLUTE BEST!!!!!! I got the same answer you got and couldn't for the life of me figure out how the back of the book got their answer. you make this SO clear!!!! thank you so SO SO much!!!!!!!
@Alex-jf6kl
@Alex-jf6kl 7 лет назад
You are awesome brother! I read the chapter and I asked my teacher for help but he did a terrible job explaining !! You did it in 7 minutes .. you save me, thank you.
@worldsavior2543
@worldsavior2543 7 лет назад
Bless your soul, clear and concise.
@reqicide1189
@reqicide1189 7 лет назад
Thank you, your videos have helped me so much throughout Calc 2. You always have very clear and concise explanations. Wish you were my professor haha
@chovie
@chovie Год назад
Here I was doing this exact question thinking I was crazy for getting this answer again and again. Thank you for showing both ways to find K! What were they smoking when they wrote this chapter? It's easy to calculate without a graphing calculator, yes, but sooo wrong.
@TranquilSeaOfMath
@TranquilSeaOfMath 9 месяцев назад
Very nice. A helpful video. I like that you mention finding the maximal of the second derivative, it is so fast though, it is easy to miss.
@TyronTention
@TyronTention 7 лет назад
The book's way almost feels lazy, but the intuition behind it is pretty interesting since you don't have to use a calculator. This video was very helpful.
@kennethgee2004
@kennethgee2004 5 лет назад
seems like a recursion issue to me. Went from estimating cos x^2 to estimating some craziness just to get a k value for an estimation. One would need to estimate the maximal again and again, ad infinitum.
@sepidehabolfazli7611
@sepidehabolfazli7611 6 лет назад
what if we can't use a graphing calculator
@crowsmathclass
@crowsmathclass 5 лет назад
Check out this video. It works this problem without using a calculator. ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-O90pwKS2aoI.html
@maxpercer7119
@maxpercer7119 4 года назад
You can use triangle inequality theorem.
@robertosaucedo4347
@robertosaucedo4347 11 месяцев назад
Thank you!! You are amazing I was doing my homework and keep getting it wrong because I was using the none book way but thanks to you I was able to get my homework done❤
@spik330
@spik330 5 лет назад
where does the 12n^2 or the 24n^2 come from. My profs notes say that for midpoint on a single interval is (k/4x1-x0))*((x1-x0)/n)^2 and for composite (k/4x1-x0))*((x1-x0)/n)
@graoliveira6688
@graoliveira6688 3 года назад
Excellent explanation, thank you!
@blackpenredpen
@blackpenredpen 3 года назад
Happy to help 😃
@stgr7014
@stgr7014 6 лет назад
Hi, Thanks! This was great. What does 'n' represent? Is it number of steps?
@josephhoneychuck4213
@josephhoneychuck4213 6 лет назад
St Gr n is the number of trapezoidal or rectangles you make when estimating the area under the curve
@stgr7014
@stgr7014 6 лет назад
Thanks!
@erniez7259
@erniez7259 6 лет назад
Is there a way to find k w/o graphing calc.?
@crowsmathclass
@crowsmathclass 5 лет назад
ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-O90pwKS2aoI.html
@curtishunt1277
@curtishunt1277 4 года назад
I love this man
@grantnielson9881
@grantnielson9881 3 года назад
You're the best!
@hung89341
@hung89341 5 лет назад
What if the question asked to find min number of subintervals of int of (x)dx,x from 1 to 2 for error from true value to be less than 10^-4? Using either Simpson or trapezoid rule.
@ruizhu5899
@ruizhu5899 5 лет назад
... what should we do to get the max? if we are not allow to use calculator during test and requires to find the K..
@alvelymondragon33
@alvelymondragon33 5 лет назад
i guess just go based off the last bit that he explained 9:43 (how it's solved in the textbook)
@ruizhu5899
@ruizhu5899 5 лет назад
okok thank you very much@@alvelymondragon33
@9MAS91
@9MAS91 7 лет назад
Nice job
@snowmankiller4222
@snowmankiller4222 Год назад
much more clear than my porfessor
@DanT-iu6oc
@DanT-iu6oc 5 лет назад
im starting to love your videos. godDAMN you are GOOD
@SAYHOP
@SAYHOP 2 года назад
Thankyou!!
@blackpenredpen
@blackpenredpen 2 года назад
😃
@Jadevhn
@Jadevhn 6 лет назад
Thank you so so much
@Theassociate06
@Theassociate06 Год назад
your calculator is crazy do u charge it 😅
@bugsbunny278
@bugsbunny278 6 лет назад
What calculator are you using ??!
@claytonhouser7578
@claytonhouser7578 8 месяцев назад
The calculator way didnt work for me. It just have me some much smaller value
@googleuser3323
@googleuser3323 4 года назад
Can the error bound be negative? I’m doing some question and it ended up becoming negative... so I’m confused
@aggffdgubfff
@aggffdgubfff 4 года назад
it can be yes!
@shisirbaral4453
@shisirbaral4453 3 года назад
But why does this formula work at all ?!
@pighast974
@pighast974 4 года назад
how do you find the bounds when your function's second derivative's max value over the interval is 0?
@manuelalbertoromero9528
@manuelalbertoromero9528 3 года назад
Yeah, I have that problem as well.
@DigaDupSuck
@DigaDupSuck 3 года назад
make sure you're taking the absolute value of the second derivative
@Echoechostar
@Echoechostar 4 года назад
what happens if your second derivative is 0? i was given the function 2x-1 and the second derivative = 0, so does that mean K is just 0?
@theendurance
@theendurance 4 года назад
yes, it means there is no error bound and the rule will calculate the exact integral
@Echoechostar
@Echoechostar 4 года назад
Mohammad Mahmud wish u replied 4 months ago when I commented this 😂✌🏼😭
@theendurance
@theendurance 4 года назад
i just learned that today, had to flex a lil 😂😂😂
@andythung
@andythung 5 лет назад
Book WAY , Sin 1 is not equal to 1, it is 0.01745 ......... k value should be 4 + 2 (0.01745)
@nikheetisnotcool2951
@nikheetisnotcool2951 Год назад
He is literally him
@holyshit922
@holyshit922 6 лет назад
uses crt; type TFunc=function(x:real):real; function f(x:real):real; begin f:=cos(sqr(x)); end; function trapezoid(f:TFunc;a,b:real;n:longint):real; var i:longint; h,s:real; begin h:=(b-a)/n; s:=f(a)+f(b); for i:=1 to n-1 do s:=s+2*f(a+i*h); trapezoid:=h*s/2; end; var esc:char; a,b:real; n:longint; begin clrscr; repeat writeln('Podaj przedzial calkowania'); readln(a,b); writeln('Podaj liczbe iteracji'); readln(n); writeln(trapezoid(@f,a,b,n):1:10); (* In some versions of fpc we dont need at operator and function call will look like this writeln(trapezoid(f,a,b,n):1:10); *) writeln; esc:=readkey; until esc=#27; end.
@cheeng95engineering52
@cheeng95engineering52 3 года назад
Mmmmmm... The error bound approach it''s ok ...but a better approach is to use truncation error as shown in this video ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-dYN-ZbJwRjE.html ? For me, it makes more sense the use the truncation error in order to estimate the N value for the trapezoidal/Simpsons rules instead of the error bound. Would you agree ? Thanks.
@CS-bh4ur
@CS-bh4ur 4 года назад
Uhhhh wait a sec English lol jk man but you are talking faster than the speed of sound
@2222yzy
@2222yzy 4 года назад
i love this man
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