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?