I have the AP test tomorrow and I have absolutely no idea how to find the first omitted term. The Lagrange error makes perfect sense but that alternating series error bound is going to end me.
Can't tell if this is sarcasm or not...if not, it's literally just the first term that you don't use. So if the series is 1 - 1/2 + 1/4 - 1/8 +... and you approximate it with 1 then the max error is 1/2. If you approximate it with 1-1/2 then the error is 1/4; if you approximate with 1 - 1/2 + 1/4 then the error is 1/8. It's much more straight forward than Lagrange, which can take some work...but also kind of looks like the first term omitted, but you have to figure out M.
7:25 My calc BC exam is tomorrow (self-study) and I never learned about these errors :( Can someone explain as to why its (1/2)^5 / 7? Why to the power of 5 and where did the number 7 come from?
he didnt include the entire problem, the last term in the series was x^5/7, therefore the abs value of f(1/2)-p(1/2) must be less than x^5/7. he plugged x=1/2 and got (1/2)^5/7, which simplifies to 1/224
today i had the exam and I got a question really similar to this one at 11:50. is it okay if i choose the value less than 40, say uhm 20(from 0 to 1/4)? but it wasn't the max value as you descirbed. it was just a value between 0 and 1/4
as long as the value you pick is greater than or equal to the max on the interval and when you simplify your error is meets whatever criteria they tell you to compare it to, you would be fine.
The calc BC exam is tomorrow this is the only thing saving me from death. Thank you
What did you get?
@@KevinMitchellsubscribe You too huh?
taking the L's out of lagrange tomorrow for sure
dang the person who took that 2012 test could have gone through graduate school already and be settled down with a job and a wife
fr
it's the weirdest thing looking through turk's older videos and seeing comments from 2011. This course has been around for decades. . .
everything here so relevant thank you
No problem! Good luck on the exam!
im cooked
Earned my subscription! great stuff!
oh wow just noticed this is exactly 1 month before the day of ap calc bc exam. thanks man lol
mine is tomorrow amk
I have the AP test tomorrow and I have absolutely no idea how to find the first omitted term. The Lagrange error makes perfect sense but that alternating series error bound is going to end me.
Can't tell if this is sarcasm or not...if not, it's literally just the first term that you don't use. So if the series is 1 - 1/2 + 1/4 - 1/8 +... and you approximate it with 1 then the max error is 1/2. If you approximate it with 1-1/2 then the error is 1/4; if you approximate with 1 - 1/2 + 1/4 then the error is 1/8. It's much more straight forward than Lagrange, which can take some work...but also kind of looks like the first term omitted, but you have to figure out M.
@@turksvids Not sarcasm, not sure why but I fail to apply that thinking whenever doing it. Makes a lot of sense when I'm shown it though.
@William Han yo me too! tomorrow, right?
when do you know to use the equal to sign or to not use the equal to sign when writing your final answer?
7:25 My calc BC exam is tomorrow (self-study) and I never learned about these errors :( Can someone explain as to why its (1/2)^5 / 7? Why to the power of 5 and where did the number 7 come from?
he didnt include the entire problem, the last term in the series was x^5/7, therefore the abs value of f(1/2)-p(1/2) must be less than x^5/7. he plugged x=1/2 and got (1/2)^5/7, which simplifies to 1/224
today i had the exam and I got a question really similar to this one at 11:50. is it okay if i choose the value less than 40, say uhm 20(from 0 to 1/4)? but it wasn't the max value as you descirbed. it was just a value between 0 and 1/4
as long as the value you pick is greater than or equal to the max on the interval and when you simplify your error is meets whatever criteria they tell you to compare it to, you would be fine.
@@turksvids but i picked a value between the interval because the graph wasnt obvious😒
@@turksvidsso basically the question you solved on 11:50. would be the answer correct if you chose 20 and not 40? if yes then I dont have to worry😅😅
great video
dwag this was a life saver
its so over
I’m fried