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Math 113 Exam 2 Review Full - Shared screen with speaker view
Brock Johnson
21:55
hello.
Hunter Pitchford
22:04
I've been wondering
Brock Johnson
22:15
wondering what?
Kylie Maag
22:29
haha me too....this is the right place for the review right?
Hunter Pitchford
22:37
I assume so
Max Christensen
22:37
Should be.
Merrill Redfearn
22:38
I believe so
Conner Kochevar
22:53
That’s what Im here for
Gideon Miller
23:03
This should be, there are 100 of us here
Heidi Hunter
23:13
Anybody have any amazing study tips?
Tanner Wahlquist
23:23
yeah
Tanner Wahlquist
23:25
study
Adam Rollins
23:26
We're doomed
Elizabeth Mohler
23:31
Pray
Jacob Pace
23:35
Do the practice test over until you feel confident with all of the problems!
Kylie Maag
23:37
memorize the table XD
Chance Robinson
23:38
if I did I wouldn't be here
Spencer Fairchild
23:42
hey drake
Caleb Jones
23:44
is there a key for the study guide?
Matthew Rowberry
23:45
hey if they don't come that means the exam is cancelled, right?
Drake Allen
23:49
Hey bud
Isaac Hales
23:52
Crying too much ruins the paper that you’re doing math on, so try to limit tears.
Adam Allinson
23:54
there is a review at the end of chapter 11, it helped a bunch
keatonfolsom
24:07
Dangit, its not canceled
Brock Johnson
24:15
hello. save us
Chandler Jensen
24:20
yes
Blake Folsom
24:28
haha wow there's a lot of Folsom's here
keatonfolsom
24:36
Hello cousins
pwillmot@byu.edu
24:40
everything
Logan Lawson
24:42
The glare might get in the way, so writing a little bigger would be appreciated :)
Chandler Jensen
24:55
determining which series test to use
Katie Wilson
25:08
Calculating error!
Jonathan Davis
25:15
soooooo everything pretty much
Sam Wright
25:16
so pretty much everything
Gideon Miller
25:19
Yep
Jacob Taylor
25:20
^^
Merrill Redfearn
25:22
^^
Heidi Folsom
25:23
Hah hey Folsom cousins
Blake Folsom
25:32
its a family reunion
Mitch Mcentire
26:16
A little bigger please
Kylie Maag
26:19
its just blurry
pwillmot@byu.edu
26:43
its the glare
Landon M
26:43
It also might help to turn the lights off in the room to eliminate the glare. Or close the blinds
Sophia Goodliffe
26:44
Do you have any darker markers
Brock Johnson
27:02
glare is there
keatonfolsom
27:24
If the camera was elevated the lights might not be reflected
Merrill Redfearn
27:37
^^^
Sarah Kharaka
27:41
It may just be better to screen share a notepad
keatonfolsom
28:00
Wow lets just bully her
Ben Woodland
28:07
Once you lifted the computer I could see it a lot better
Jared P
28:08
has she gone over any problems already, or is this the first one?
Sean Humpherys
28:16
We could just turn the lights out
Kylie Maag
28:18
the first
Sean Humpherys
28:18
lol
Logan Lawson
28:19
Yeah
Jared P
28:32
Have I missed anything?
Victoria Moreno
28:36
no
pwillmot@byu.edu
28:37
no
Sean Humpherys
28:37
No
Blake Doty
28:40
That’s good
Sophia Goodliffe
28:44
yeah
Blake Doty
28:45
We can see that
keatonfolsom
30:54
I see this is being recorded, so will this be posted somewhere afterwards?
Ally Christensen
31:07
The last one got posted on the Slack channel
Sean Humpherys
31:12
Yes
Sarah Kharaka
31:14
It will be but it usually takes them a few hours
keatonfolsom
31:40
Rip me
Jared P
31:46
how do you get the slack channel
Sean Humpherys
32:00
A few of you have your mikes still on I believe
Ally Christensen
32:02
The Math Lab website gives you instructions to get there
Benjamin Jack Taylor
33:22
how is the structure of this review set up?
Sean Humpherys
33:44
She'll go over a few things and then go over the practice test
Tessa Larsen
34:04
in that equation where it says (1-n) why isn't it (1-n+1)?
Sean Humpherys
34:25
it's 1/2-n+1
Tessa Larsen
34:44
ok got it. thqnks
Matthew Rowberry
34:47
I think the video might be better if she used her phone to zoom instead
Blake Elzinga
35:18
anyone having a hard time seeing what she is writing?
Matthew Rowberry
35:25
laptops webcams aren't very high quality
Sean Humpherys
36:26
Looks like the marker is dying
Sean Humpherys
36:34
nvm
Sean Humpherys
37:11
Binomial series always start with one right?
Drew Moss
37:19
yup
Blake Elzinga
37:38
unless you have x/(1-x)
Drew Moss
37:40
unless there is a constant multiplied to the whole thing
Sean Humpherys
38:01
well yeah that isn't really part of the series though
Matthew Rowberry
39:33
is anyone else in favor of having her try her phone for the zoom?
Sean Humpherys
39:52
All in favor manifest by the right hand
Benjamin Jack Taylor
40:01
right hand
Kent William Allen
40:15
That would take all the mystery out of it!
Sean Humpherys
40:18
Any opposed?
Gideon Miller
40:23
By the same side
Blake Elzinga
40:29
I cant see anything she is writing...
Sean Humpherys
40:30
same sign
Katie Wilson
40:36
*sign
Gideon Miller
40:49
If she writes on a piece of paper there probably won’t be any glare
Drake Allen
41:21
Why did she write out two terms then go back to series notation?
Matthew Rowberry
41:33
after she's done with this problem should I ask her if she'd be willing to try and switch?
Gideon Miller
41:45
@drake that’s how you do a binomial thing
Spencer Fairchild
41:48
Because the first two are the only ones that are different
Gideon Miller
41:54
^^^
Isaac Hales
41:55
No, I don’t think it’ll make a difference.
Spencer Fairchild
41:57
The rest follows a pattern easily
Chance Robinson
42:06
where did we get the 2^n in the denominator from?
Sean Humpherys
42:33
2^n comes from the denominator in the fractions
Sarah Kharaka
42:35
When calculating an integral, it’s the upper bound minus the lower bound when plugging the numbers in right?
Chance Robinson
42:42
oh I see it now, thanks
Gideon Miller
42:42
yup
Jacob Pace
43:17
Is it just as correct to only write the first term and then do the series notation starting from n=1?
Sean Humpherys
43:33
yes
Sean Humpherys
43:45
or at least it should be
Ryan Johnson
44:03
You could also start it at n=0
Katie Wilson
44:49
I believe so, although it would make it more difficult to get a nicer series
Ryan Johnson
44:52
Just depends on how you want to see it, the only difference is that the first term is positive one and the rest are being subtracted
Jared P
45:39
I am kinda lost rn
Mason Pilling
46:02
The test will be multiple choice and I guarantee that the answer will use n=2
Mason Pilling
46:14
So its probably better to learn it that way
Sean Humpherys
46:23
Charles Barkley right there with the guarantees
Gideon Miller
46:25
It might use n=3 or 1
Gideon Miller
46:37
On other test question
Janie Linford
47:00
The whole test is multiple choice?
Blake Elzinga
47:08
no
Jonathan Davis
47:09
no
Jared P
47:33
ayy that's terrible in Charles Barkley voice
Sean Humpherys
47:44
turrible
Mason Pilling
47:49
but this type of question will either give you an index to use for your answer, or will be multiple choice
Jonathan Davis
48:29
its like how on webassign it will give you the summation symbol with a given index already there, so you just have to double check that
Mason Pilling
48:39
^
Takun Purba
49:51
will n at 0 term always be 1?
Sean Humpherys
50:34
Holy crap this problem is taking a long time
Sean Humpherys
50:45
I didn't know it had been 30 min
Chance Robinson
51:11
speaking of that, how many questions will the test be? 14?
Sean Humpherys
51:24
Something like that I assume
Tessa Larsen
51:33
I think so @Takun
Takun Purba
51:40
thanks!
Gideon Miller
51:41
Only 1 question. Pass or fail…
Daniel Ekpo
51:45
@Sean I just realized the same thing!
Kelly Vargas
51:46
@Sean Humpherys I hadn’t noticed either.
Spencer Jorgensen
52:21
would we need to continue simplifying or would that be sufficient?
Jared P
52:41
is it gonna be same format as the first midterm, in terms of being partially multiple choice and partially free response
Jared P
53:06
/fill in the blank
Jared P
53:56
gonna be crickets, that's nice
Gideon Miller
54:12
prolly
Eero Ward
54:45
Yeah
Luke Richards
55:05
But it isn’t alternating...
Matthew Rowberry
55:43
that's wholesome
Gabriel Reed
56:19
I got here late, is this a problem off the practice exam or a different one?
Sean Humpherys
56:26
different one
Jonathan Davis
57:01
isn't that just the alternating series sum?
Caden
57:34
I think they are just asking where the -1^n is
Luke Richards
58:15
Ok we should move to the next question then
Chandler Jensen
58:17
yes
Luke Richards
58:18
If it’s not on the test
Sean Humpherys
58:24
Not sure if 95% sure is sure enough
Jared P
01:01:17
what is the difference between Taylor and Maclaurin series again?
Meghan Wilson
01:01:27
and yet, we’re all here learning from her. Let’s be kind, friends.
McKenzie Leininger
01:01:29
Taylor isn’t centered at 1
Mitch Mcentire
01:01:32
Maclaurin is centered at zero
Lynden Wagner
01:01:32
Maclaurin is centered at 0
McKenzie Leininger
01:01:39
Sorry 0 haha
Caden
01:02:25
degree only referes to the powers above the x
Sean Humpherys
01:02:35
Degree refers to an exponent
Gideon Miller
01:02:42
Degree-1=term
Sean Humpherys
01:02:52
Not always
Mason Pilling
01:02:55
somtimes
Kylie Maag
01:02:59
^ you can have a degree four with only 3 terms, if one of those comes out to 0
Sean Humpherys
01:03:07
Depends on where you start
Mason Pilling
01:03:09
as long as you're dealing with x and not x^y
Ryan Johnson
01:04:00
fn(a)/n! * x^n
McKenzie Leininger
01:04:01
Google says degree is the exponent
McKenzie Leininger
01:04:05
So x^3 has degree 3
Tessa Larsen
01:04:14
You'll always use one term more than the given degree
Jonathan Davis
01:04:31
yeah I always look at the exponent
Kylie Maag
01:04:35
fourth degree goes to fourth derivative
Ryan Johnson
01:04:39
Fourth degree means going to x^4
Spencer Jorgensen
01:04:43
retweet blake
Tessa Larsen
01:04:46
because the degree is how many times you take the derivative and the original equation is included
Bryce Marshall
01:04:53
That was facts
Mason Pilling
01:05:44
preach
Andreas Lehmann
01:05:52
What did he say I missed it
Mason Pilling
01:06:27
because sometimes terms come out to 0, when it says go to a degree of 4 you go until you see an x^4, not until you have 4 terms
Andreas Lehmann
01:06:46
Sweet thanks
Eero Ward
01:07:20
So the 4th Degree is 5 terms, and 4 terms would be the 3rd degree?
Gideon Miller
01:07:33
yes
McKenzie Leininger
01:07:34
Ya
Jacob Gehrett
01:07:34
yes
Mason Pilling
01:07:35
it depends
McKenzie Leininger
01:07:44
Assuming you count 0s as terms
Sean Humpherys
01:07:46
How long is it expected for us to have to take the test?
Daniel Ekpo
01:07:49
I wouldn't think about it in terms of terms
Jacob Gehrett
01:07:55
if there's a zero just count it as a term, and yes
Daniel Ekpo
01:08:02
^^
racheldespain
01:08:15
If it says find a T4 you go until there’s an x^4 in the series
Gabriel Reed
01:08:26
@Eero just look at the x at the very end, you need to get the power to the right number
Gabriel Reed
01:08:29
Yeah like Rachel said
Ben Woodland
01:09:37
@brock you have to be careful when you use the mcclaurin series way because there is only three terms. I messed up the first time I did it cuz I did four terms instead of three
Brock Johnson
01:10:20
what changes? just each time you add the things?
Ben Woodland
01:11:17
It just naturally ignores the terms that equal zero, so to get the three terms you plug in 0,1, and 2 to the series. So that’s what is different
Brock Johnson
01:11:51
so with three terms, should you do 0,1,2,3 or just 0,1,2?
Ben Woodland
01:12:29
Just 0, 1, and 2
Ben Woodland
01:12:34
Im pretty sure
Mason Pilling
01:12:37
0 counts as a term
Gideon Miller
01:12:38
yeah
Mason Pilling
01:12:39
so yes
Brock Johnson
01:12:40
mm. good to know
Brielle Anderson
01:12:54
problem 13 on practice exam
Sean Humpherys
01:13:14
m is greater than that
Lynden Wagner
01:13:25
^^
McKenzie Leininger
01:13:52
Anyone else hear the occasional random tapping sound? Or is my computer freaking out?
Lynden Wagner
01:13:58
yes!!
Jacob Gehrett
01:14:03
I hear it
Katie Wilson
01:14:03
I hear it too
Matthew Kennedy
01:14:04
I hear it too
Sean Humpherys
01:14:04
same
Jillian Maw
01:14:05
yeah, I hear it
McKenzie Leininger
01:14:05
Ok good haha
Benjamin Orr
01:14:05
No I hear it too
racheldespain
01:14:06
I heard it
Heidi Folsom
01:14:06
^^ yes it’s driving me crazy haha
Caleb Jones
01:14:11
Im kinda digging it
Jacob Hunsaker
01:14:13
It’s slack
Gabriel Reed
01:14:15
It’s the slack notification sound
keatonfolsom
01:14:17
Somebody needs to mute
McKenzie Leininger
01:14:27
Gotcha
Mason Pilling
01:14:36
Pretty sure its some dude in the corner of the room playing wood blocks
Kate Freeman
01:14:41
LOL
keatonfolsom
01:14:58
Unless whoever the culprit was, it might be her because everybody else is muted
Sean Humpherys
01:15:03
That sign is flipped
Lucas Bons
01:18:42
Is this still for 13, or is she explaining something related?
Jaron Hamblin
01:19:09
what was the average for the first exam?
Sean Humpherys
01:19:09
related I believe
Micky Macdonald
01:19:12
She’s explaining what it would look like if this problem included Taylor inequality
Lucas Bons
01:19:18
Ok, thanks
Sean Humpherys
01:19:27
It was 99% Jaron
Sean Humpherys
01:19:29
lol
Jaron Hamblin
01:19:43
I hope not
Jonathan Davis
01:19:46
66 for my class @Jaron
Sean Humpherys
01:19:55
It was definitely not
Andreas Lehmann
01:19:57
70% in mine
Jaron Hamblin
01:20:01
i mean that's good but that means i did really bad
Gabriel Reed
01:20:01
My class was 68%
Sean Humpherys
01:20:19
65-70% probably
Jaron Hamblin
01:20:20
im gonna fail
Brock Johnson
01:20:27
^^
Gideon Miller
01:20:30
^^
Adam Rollins
01:20:40
Student: "is there a curve on the tests/final?"
Blake Elzinga
01:20:46
yeah they made it pretty hard
Adam Rollins
01:20:52
Teacher: gives cryptic anser
Gabriel Reed
01:21:01
Nick said they would curve the final grade once everything was all done
racheldespain
01:21:02
I talked to Nick the other day and he said that the curve will help a lot of Ds become Cs. There’s still hope
Brock Johnson
01:21:20
what about Zs?
Jaron Hamblin
01:22:07
I've lost hope, maybe ill just drop the class and take it next semester
Kelly Vargas
01:22:10
Unit 3 is looking better and better every day.
Mason Pilling
01:22:22
^^
Jacob Gehrett
01:22:23
Jaron no shame in that, this is my second attempt :)
Brock Johnson
01:22:26
it’s possible to withdraw and audit the class
Mason Pilling
01:22:29
Class today was so nice
Brock Johnson
01:22:36
so you can learn the material
Jaron Hamblin
01:23:01
ever since we started series ive been so lost
Mason Pilling
01:23:29
*take my calculator*
Brock Johnson
01:23:32
yeah this last month
Mason Pilling
01:23:34
mm must be nice
Jared P
01:23:40
which professor do y'alls have?
Andreas Lehmann
01:23:45
hughes
McKenzie Leininger
01:24:02
Hughes
Kelly Vargas
01:24:05
Professor: You’re not allowed to use the calculator on the exam.
Jared P
01:24:14
the screen looks out of focus with the glare, so I can't copy the notes very well
Gideon Miller
01:24:19
Professor: all the homework requires a calculator
Kelly Vargas
01:24:22
Also Professor: Now take out your calculators to solve this problem.
Mason Pilling
01:24:37
My calc experience ^^
Jacob Gehrett
01:24:39
Also Professor: doesn't use proctorio
Jacob Gehrett
01:24:49
haha jk don't report me lol
keatonfolsom
01:24:51
They’re just preparing you for the real world where calculators don’t exist
keatonfolsom
01:24:52
/s
Sean Humpherys
01:24:56
They don't let you have a calculator because you can take derivatives and integrals I assume
Sean Humpherys
01:25:11
It's still kinda dumb though.
Jaron Hamblin
01:25:12
I think its probably better to withdrawl the class and take it again next semester than to bomb my gpa with my first semester
Gideon Miller
01:25:20
TRUTH
Max Merrell
01:25:34
Divergence test
Jared P
01:25:36
Why is that bad to not use proctorio? I feel like most people are fine with that
Jillian Maw
01:25:46
the withdraw still affects your gpa
Sean Humpherys
01:25:51
That's the easiest name to remember for me at least
Brock Johnson
01:26:06
I heard the withdrawal doesn’t effect your gpa
Brock Johnson
01:26:12
better than an f
Jaron Hamblin
01:26:14
I thought if you withdrawl the grade doesn't matter
Mason Pilling
01:26:20
There's a deadline I think?
Daniel Ekpo
01:26:22
Withdrawing doesn't affect youw GPA. You just get a W
Brock Johnson
01:26:23
yeah I’m pretty sure it doesn’t
Jacob Gehrett
01:26:28
withdraw doesn't affect gpa
Jaron Hamblin
01:26:30
yea its like Nov 9th
Jacob Gehrett
01:26:32
just gives a W
Brock Johnson
01:26:32
the deadline is nov 7th or smthn
Mason Pilling
01:26:35
If you withdraw after the deadline it shows up on your transcript
Gideon Miller
01:26:49
Transcript W vs transcript F
Jacob Gehrett
01:26:50
which does basically nothing unless you withdraw from a ton of different classes
Brock Johnson
01:26:55
also p series test
Mason Pilling
01:27:06
Which really just looks bad for grad school and that's about it
Gideon Miller
01:27:08
Though, if we get enough people who fail maybe they’ll give us a real good curve
Sean Humpherys
01:27:09
two comparison tests too
Sean Humpherys
01:27:12
direct and limit
Jaron Hamblin
01:27:20
I'll see how this test goes, if I fail like the last one I will probably Withdrawl
Caleb Jones
01:27:43
Is there an answer key to the practice test?
Blake Folsom
01:27:47
Everyone do bad!
Spencer Jorgensen
01:27:48
what are all the tests
Sean Humpherys
01:27:50
yes
Caleb Jones
01:28:01
Can I get a link?
Mason Pilling
01:28:03
I believe in you @Jaron
McKenzie Leininger
01:28:04
Yeah could we adjust the camera so it’s focused on the board more?
keatonfolsom
01:28:06
I just hate how schools make it seem like C has to be the average. I feel like they always have to have some failures. Why can’t everybody succeed in life?
Sean Humpherys
01:28:12
Blake: "everyone do bad so my score is the best"
Sean Humpherys
01:28:18
prolly not but still
Blake Folsom
01:28:35
haha
Brock Johnson
01:28:52
how do people get As in calc?
Gabriel Reed
01:28:53
@Caleb the solutions to the practice test are in canvas for today
Spencer Jorgensen
01:29:13
comp test ratio test root test alt series test limit comp test integral test
Sean Humpherys
01:29:18
@Brock I took BC in HS so this is all review
Sean Humpherys
01:29:22
that helps a lot
Gideon Miller
01:29:28
@Sean, teach us your ways
Jaron Hamblin
01:29:30
Calc in high school was so much easier than this, we just go so crazy fast
Sean Humpherys
01:29:42
It's just quicker
Kelly Vargas
01:30:11
@Brock Johnson with perseverance and spite.
Sean Humpherys
01:30:16
@Gideon I didn't do so good I tested out
Gideon Miller
01:30:20
How to get an A in college calc: Get an F in high school calc
Ryan Johnson
01:30:38
lol
Mason Pilling
01:30:40
Or sell your soul
Sean Humpherys
01:30:45
I still got a 4 on the AP
Jared P
01:31:01
did y'alls take AB or BC Calc in high school?
Adam Rollins
01:31:03
I nvr took cacl in HS, all of this is new to me
Jaron Hamblin
01:31:10
i got a 5 in AB
Katie Wilson
01:31:17
I took a 4 in both
Sophia Goodliffe
01:31:22
BC and this was my least favorite unit and for good reason
Sean Humpherys
01:31:23
I took both
Mitch Mcentire
01:31:25
I got 5 in ab and a 4 in bc but this is still hard for me
Spencer Jorgensen
01:31:25
can we focus the chat on questions.
keatonfolsom
01:31:35
Probably not but we can try
Blake Elzinga
01:31:35
pls^
Gabriel Reed
01:31:38
^^
Mason Pilling
01:31:58
Is the integral test ever useful?
keatonfolsom
01:32:02
yes
Nicolas Onstott
01:32:04
All the time
Sean Humpherys
01:32:14
Occasionally. It's my least favorite
keatonfolsom
01:32:34
I’m pretty sure it works a lot of the time, but it’s probably the longest one to do
Mason Pilling
01:32:39
It feels like a less good version of the comparison test?
Chandler Jensen
01:33:24
now that she's gone lets talk about her
Andreas Lehmann
01:33:32
Do ratio test my guy
Sean Humpherys
01:33:33
No we expect you to not go to the bathroom. Hold it for 50 minutes lol
Nicolas Onstott
01:33:56
but n^n is way bigger than 2^n
Jared P
01:34:13
Hey, is anyone else having a hard time copying the notes, cause of the glare and the faded markers?
Ryan Johnson
01:34:22
This one converges
keatonfolsom
01:34:25
I can see it well enough to right everything down
McKenzie Leininger
01:34:29
Me @Jared
keatonfolsom
01:34:30
*write
Nicolas Onstott
01:34:31
I don't know if that is true
keatonfolsom
01:34:34
Its been a long day
Jacob Gehrett
01:34:36
Yes Jared, it's tough.
Nicolas Onstott
01:34:50
Plugging it into a graphing website its convergent
keatonfolsom
01:35:12
Because n^n is a power tower, grows way faster than the top
Blake Folsom
01:35:14
wait so it does converge?
keatonfolsom
01:35:17
yes
Blake Elzinga
01:35:27
is this review confusing to anyone?
Sean Humpherys
01:35:29
Which number is this one?
Andrew Skoy
01:35:38
behold I say unto thee, it convergeth
Ryan Johnson
01:35:40
n^n will win out, so the whole thing will converge, even with the cosine
Camilla McKinnon
01:35:42
Its 2 part iii
Jared P
01:35:42
yeah lol
Blake Folsom
01:35:59
ohh ok
keatonfolsom
01:36:13
Because cosine is never greater than 1
Mason Pilling
01:36:18
pretend cos doesn't exist, (2/n)^n do the root test
Nicolas Onstott
01:36:33
(2/n)^n
Sean Humpherys
01:36:36
This was a good comparison test one
Nicolas Onstott
01:36:48
where 2/n has to be less than 1
Mason Pilling
01:37:08
then lim -> infinity 2/n goes to 0
Jacob Brown
01:37:12
Phillip what you were thinking was right too
Mason Pilling
01:37:16
so it converges
Sean Humpherys
01:38:03
The root test tells you divergence if it is greater than 1
Blake Folsom
01:38:03
ohhh I get it
Blake Folsom
01:38:12
math lab guy was wrong
Sean Humpherys
01:38:14
same as the ratio
Jacob Winters
01:39:03
conv
Ryan Johnson
01:39:09
Yep
Sean Humpherys
01:39:51
She needs to make the cos into the abs value of cos on this one right?
Mason Pilling
01:40:04
yup
Sean Humpherys
01:41:57
I don't think you could use the bottom one though because it's less than 0
Sean Humpherys
01:42:11
and that is part of the DCT
Jared P
01:42:29
how do you know which test to use to compare summation functions like that?
Nicolas Onstott
01:42:43
oh we should do a squeeze theorem example
Sean Humpherys
01:42:46
Or maybe she's doing something more nuanced
Ryan Johnson
01:43:33
limit comparison works
Nicolas Onstott
01:43:48
what are the conditions for limit comparison again?
Sean Humpherys
01:44:45
LCT requires both a_n and b_n to be greater that 0
Nicolas Onstott
01:44:56
Thanks!!
Mason Pilling
01:45:17
did she say to use the p-test...?
Sean Humpherys
01:45:18
and then the limit you take needs to be greater than 0 and less than infinity too Nicolas
Mason Pilling
01:45:27
cause like... just use the p-test
Ryan Johnson
01:45:47
you use the limit comparison and then the p-test
Sean Humpherys
01:45:55
You can't use the p test when it is n^c + 1
Blake Elzinga
01:45:57
yes ^
Sean Humpherys
01:48:04
When you do the LCT try to use the same power of n to cancel the n's out
Sean Humpherys
01:48:20
Which is what she is doing now
Jared P
01:49:25
how do you know which one do you use at a specific function?
Ryan Johnson
01:49:31
Anything non zero and finite
Michelle Browne
01:49:51
Could we possibly do a power series example next?
Sean Humpherys
01:50:03
Yes please Michelle
Jared P
01:51:53
can you use a better marker? I am having a hard time copying the notes down? Sorry about that...
Sean Humpherys
01:53:08
I don't remember learning that
Sean Humpherys
01:53:37
Take the absolute value and you can do any test
Ryan Johnson
01:53:38
integral
Sean Humpherys
01:53:54
This was a good integral test
Jared P
01:54:39
Are all the CALC2 sections covering CH11 during this unit regardless of the professor?
Ryan Johnson
01:54:46
yeah
Blake Elzinga
01:54:59
yes
Blake Elzinga
01:55:06
ch 11=nightmares
Ryan Johnson
01:55:15
Take the absolute value
Lynden Wagner
01:55:18
i think we do take the absolute value
Sean Humpherys
01:55:34
Take the absolute value and you can get rid of the -1
Sean Humpherys
01:55:46
and then do the integral test
Ryan Johnson
01:55:59
If the absolute value of the series is convergent, then the original series is absolutely convergent
Sean Humpherys
01:56:08
Correct
Ben Woodland
01:56:09
Ya^^
Lynden Wagner
01:56:10
^^
Spencer Teeples
01:56:13
amen
Ben Woodland
01:56:20
So we can agree that she is confused on this
Sean Humpherys
01:56:36
Yes I can agree with that
Isabelle Wright
01:56:43
So can we take the absolute value and then integrate and it would be absolutely convergent?
Ryan Johnson
01:56:50
yes
Keifer Higham
01:56:51
She is wrong
Ryan Johnson
01:57:14
it is conditionally convergent
Sean Humpherys
01:57:25
only if the abs value converges Isabelle
Ryan Johnson
01:57:36
it passes the AST
Isabelle Wright
01:57:47
Okay perfect
Nicolas Onstott
01:58:05
doesn't the AST guarantee it is absolutely convergent?
Sean Humpherys
01:58:12
No Nicolas
Ryan Johnson
01:58:22
No, just that it is at least conditionally convergent
Sean Humpherys
01:58:24
The ratio and roots tests do I believe
Nicolas Onstott
01:58:36
hmm. I need to study some more
Ally Christensen
01:58:41
For example, the alternating harmonic series is only conditionally convergent in this case
Blake Folsom
01:58:44
and the geometric test too right?
Sean Humpherys
01:58:44
Can someone tell me how to do 7?
Jared P
01:59:05
yeah for reals. This chapter has been something else tbh
Logan Lawson
01:59:40
I want to get this test over with...
Ryan Johnson
01:59:58
@Sean you will end up with two series
Sean Humpherys
02:00:21
How do you separate it @Ryan
Ryan Johnson
02:00:30
one will be multiplied by x and the other series multiplied by a
Sean Humpherys
02:00:55
Huh?
Blake Folsom
02:01:17
It has to do with the partial fractions right?
Jared P
02:01:29
no, not really lol
Sean Humpherys
02:01:34
Oh man I haven't thought about those in forever
Jacob Winters
02:01:35
praise be
McKenzie Leininger
02:01:38
Ugh I hate chalk
McKenzie Leininger
02:01:41
Even if it is easier to see
Adam Rollins
02:01:48
eww chalk
Blake Folsom
02:01:59
screech!
Benjamin Jack Taylor
02:02:03
lol all that mechanics of materials work
Adam Rollins
02:02:05
but yes, it is easier to see
Jaron Hamblin
02:02:14
I just realized I cant drop this class
Ryan Johnson
02:02:15
(x+a)(1/a^2)(1/((x^2/a^2)+1)
Jared P
02:02:28
why not?
Adam Rollins
02:02:40
You got this Jaron, I'll be praying for ya!
Jaron Hamblin
02:02:51
Because I will drop under the requirement and lose my scholarship
Tess Syndergaard
02:02:53
this is the ratio test?
Phillip Sisco
02:03:01
@TEss yes
Ben Woodland
02:03:06
Im in the same boat Jaron. I feel you
Sean Humpherys
02:03:12
Just work had Jaron
Sean Humpherys
02:03:34
and leave it all on the line. You got this
Jacob Winters
02:03:35
direct comparison mebbe
Sean Humpherys
02:03:53
Yes Jacob. Do a DCT with 1/n!
Sean Humpherys
02:04:05
and then do a RT on 1/n!
Logan Lawson
02:04:32
Why can you replace the sin with 1?
McKenzie Leininger
02:04:44
Because the biggest sin/cos can ever be is 1
McKenzie Leininger
02:04:48
Based on their graph and such
Blake Elzinga
02:04:53
chalk is much better
Blake Elzinga
02:04:57
to see
Blake Folsom
02:05:09
@ Ryan so I did what you wrote on the chat
Logan Lawson
02:05:10
Yes, but that doesn’t explain why we’re replacing it
Jared P
02:05:15
how did she get 4! ?
Blake Folsom
02:05:22
but I couldn't seem to find any of the series
McKenzie Leininger
02:05:42
We replaced it because it’s hard to simplify sin(2n+1)/sin(2n) I think
McKenzie Leininger
02:05:49
Sin (2n+2) I mean
Sean Humpherys
02:06:01
@Logan do a direct comparison test of the absolute value of sin(2n)/n! with 1/n!
Ally Christensen
02:06:36
@Dylan, your mic is on
Jacob Winters
02:06:39
dylan you unmuted dood
Ryan Johnson
02:06:51
@Blake the third term can be written as a power series, then you bring in the 1/a^2 into the series
Ryan Johnson
02:07:17
then you are left with (x+a)(the series)
Ryan Johnson
02:07:38
then you foil and get x(series) +a(same series)
Blake Folsom
02:08:45
ohh do you have to take the series of the stuff you leave out?
Ryan Johnson
02:10:13
Not necessarily, you can rearrange the original function until you find a pattern for which you know the power series, then bring everything else back into the summation notation
Blake Folsom
02:10:28
huhh
Blake Folsom
02:10:35
I'm not sure what I did wrong
Blake Elzinga
02:11:10
who is unmmuted
Jacob Gehrett
02:11:14
Dylan Mute
Mason Pilling
02:11:17
Dylan
Jacob Gehrett
02:11:24
Dylan Skinner
Blake Elzinga
02:11:25
Dylan mute pls
Andreas Lehmann
02:11:27
Dylan
Jacob Gehrett
02:11:28
Dylan
Max Merrell
02:11:32
Dylan
Jacob Winters
02:11:37
Dylan
Jacob Gehrett
02:11:37
Dylan
Jacob Gehrett
02:11:45
Dylan
Max Merrell
02:11:49
Dylan
Andreas Lehmann
02:11:57
Dylan
Blake Elzinga
02:12:00
dylan
Logan Lawson
02:12:02
Kick him. I mean, he doesn’t seem to be paying attention...
Adam Rollins
02:12:05
Dylan
Jacob Winters
02:12:06
everyone yell dylan on 3
Dylan Skinner
02:12:27
I am so sorry :(
Sean Humpherys
02:12:31
We can see you
Tessa Larsen
02:12:34
no worries!
Jacob Gehrett
02:12:38
We forgive you
Ryan Johnson
02:14:31
Rearrange it to be (x+a)(1/a^2)(1/((x^2/a^2)+1)
Nicolas Onstott
02:14:43
should be 1/a
Lucas Bons
02:16:13
Yeah, the 1 should be 1/a
Nicolas Onstott
02:16:40
that kind of messes it up doesn't it
Ryan Johnson
02:17:46
The third term can then be written as the sum from 0 to inf of (-1)^n(x^(2n))/a^(2n)
McKenzie Leininger
02:18:04
Yeah that’s what I did…
Ben Woodland
02:18:46
No Isabelle. That is how they did it in the practice exam key
Ben Woodland
02:18:52
So that is a good way to do it
Sean Humpherys
02:19:06
Lol what Ben
McKenzie Leininger
02:19:34
Haha because she said “is that the wrong way” and the answer is no
Isabelle Wright
02:19:35
Oh hah I haven’t checked to see if the key was up but I am so lost on what she is doing
Sean Humpherys
02:19:47
Oh I understand now
Ben Woodland
02:19:49
Ya that was totally confusing. They way Isabelle said to do it is the right way. That is what I was trying to say
McKenzie Leininger
02:19:58
Yeah for a sec that had me confused Ben haha
Sean Humpherys
02:20:09
I thought it was sarcasm
Isabelle Wright
02:20:20
Me too hahaha
Ben Woodland
02:20:20
Haha I tired to save it, but it didn’t work. It was super confusing
Tess Syndergaard
02:21:12
Can someone who has clear work on this question email it to me? lol
Sean Humpherys
02:21:17
How does she know what a is?
Gabriel Reed
02:21:21
Same^^
Blake Elzinga
02:21:31
who thinks this review was helpful?
Sean Humpherys
02:21:40
Mostly helpful
Nicolas Onstott
02:21:44
Helps me know what I need to study. So yes
Lynden Wagner
02:21:53
^^agreed
Logan Lawson
02:21:59
^^
Blake Elzinga
02:22:01
:)
Ben Woodland
02:22:11
She is a saint. She is trying so hard and we keep asking her weird questions
Ben Woodland
02:22:20
I think she did a good job
Lynden Wagner
02:22:29
^^yes!
Tessa Larsen
02:23:01
I couldn't even imagine running this review
Benjamin Jack Taylor
02:23:10
when is this supposed to end?
Sean Humpherys
02:23:12
yes it starts at 0
Blake Folsom
02:23:16
now
Sean Humpherys
02:23:23
it's over now essentially
Adam Rollins
02:23:32
would it start at n=1 if we used ^n+1 ?
Benjamin Jack Taylor
02:23:36
and we only did like 4 questions lol
Nicolas Onstott
02:24:05
I'm pretty confused though. This question is worked out on the answer sheet right?
Blake Elzinga
02:24:15
yes
Blake Folsom
02:24:21
not as much as this
Blake Elzinga
02:24:39
thank you!
Blake Folsom
02:24:39
it's kinda confusing to be honest
Gabriel Reed
02:24:54
So on the answer sheet, they say that x = 0, can you just decide that to make your life easier?
Blake Folsom
02:25:19
yeah I don't get how they just decided that
Jacob Winters
02:25:34
the first term in a mclaurin series is f(0)
Nicolas Onstott
02:25:53
that is with a though not x
Gabriel Reed
02:26:02
Yeah that’s why I’m confused
Jacob Winters
02:26:14
a maclaurin series means that a=0
Meghan Wilson
02:26:21
Thank you!
Tessa Larsen
02:26:37
No, you're very helpful!
Blake Elzinga
02:27:00
how much longer is the review supposed to go on
Jacob Gehrett
02:27:24
Idk it's scheduled to be over now
Logan Lawson
02:28:44
Thank you!
Tessa Larsen
02:28:44
Thank you!
Tessa Larsen
02:28:47
You're the best
Jared P
02:30:56
DId she forget to end the meeting?