Exponential Growth

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  • เผยแพร่เมื่อ 4 ธ.ค. 2024

ความคิดเห็น • 117

  • @jenniferwang946
    @jenniferwang946 4 ปีที่แล้ว +7

    Seven years later, these videos are still useful af.

  • @Bozemanscience1
    @Bozemanscience1  11 ปีที่แล้ว +25

    I have heard that comparison (along with John Green and Alton Brown). I consider all of these compliments. I think they do great work. I met Hank when we were at TH-cam headquarters and he is wonderful and he is from Montana. Double thumbs up.

  • @gardenfairy947
    @gardenfairy947 11 ปีที่แล้ว +9

    So glad I found this!! It was difficult to find any videos explaining population growth specifically, so thank you!

  • @Bozemanscience1
    @Bozemanscience1  11 ปีที่แล้ว +2

    Good questions: 1) It is a photographic backdrop. 2) I use the room lights. I tried using studio lighting for awhile but I got awful glare on my glasses. 3) I don't sit very close to the screen and I try to look at the camera rather than the screen. The choice of a black background on my Keynotes also help. Hope that helps.

  • @Gingerforlifeeee
    @Gingerforlifeeee 4 ปีที่แล้ว +3

    Thanks for posting these! I have learned more watching your videos than I have reading my biology book. I take my classes online and let me just say, these have been a true blessing.

  • @hopepeterson7781
    @hopepeterson7781 10 ปีที่แล้ว +7

    Thanks SO much Mr. Anderson I was looking for a video to explain exactly this is preparation for the AP test tomorrow

  • @GoodyChild7
    @GoodyChild7 10 ปีที่แล้ว +35

    This was perfect I wish you were my teacher

  • @zachlantz516
    @zachlantz516 10 ปีที่แล้ว +8

    This really clarified some things I was stuck on for an exam. Great video and great explanation!

  • @punkifob
    @punkifob 10 ปีที่แล้ว +6

    thank you!!! understood after hours of confusion!

  • @horizonbrave1533
    @horizonbrave1533 6 ปีที่แล้ว +24

    lol, I love the death animation is the rabbit burtsting into flame.... But how does this relate to the number 'e'?

  • @Bozemanscience1
    @Bozemanscience1  11 ปีที่แล้ว +1

    That is frustrating. It works fine on this end. Please let me know if anyone else is having similar issues.

  • @jeannetteaok9420
    @jeannetteaok9420 4 ปีที่แล้ว

    Much appreciated, English being my second language. I now get the meaning the word and this is enough for my comprehension within a sentence. Thank you!

  • @MissAngelFaace
    @MissAngelFaace 10 ปีที่แล้ว +1

    Thanks SO much Mr. Anderson! I was looking for a video to explain exactly this in preparation for the AP exam next month!

  • @thebignoob1569
    @thebignoob1569 4 ปีที่แล้ว +1

    Your explanations are so clear!

  • @haleywunderlich2313
    @haleywunderlich2313 11 ปีที่แล้ว +1

    I have my AP biology final tomorrow and I watched about 10 of your videos. I would just like to tell you how incredibly helpful your videos are and how much I wish you were my teacher. Everything makes so much more sense! Thank you :) I think I will do better on my final due to your videos

  • @lauratomlinson1035
    @lauratomlinson1035 11 ปีที่แล้ว +1

    Ohh Mr. Anderson looking good :D Also I like your videos! (P.s being english, I love your accent!)

  • @shelleywell1
    @shelleywell1 9 ปีที่แล้ว

    THANK YOU MR ANDERSON YOU ARE OUR SCIENCE UNDERSTANDING SHRINE WITHOUT PAIN ,THANK YOU

  • @Bozemanscience1
    @Bozemanscience1  11 ปีที่แล้ว

    Hunter. When you fill the spreadsheet down it will change B2 accordingly. For example the next box down will include B3+0.3B3. Since B3 has increased it will increase as well.

  • @human.earthling
    @human.earthling 8 ปีที่แล้ว

    On excel, you can just double click at the bottom right of the cell with the formula and it will automatically "drag" it down as far as the numbers go, instead of having to manually drag it like you do at 5:48

  • @1314Fher
    @1314Fher 10 ปีที่แล้ว +5

    Yeeeeees! I need this. Thank you!

  • @mus1307
    @mus1307 8 ปีที่แล้ว

    What a good pedagogical teacher. Thanks for those smart tools you used to explain us !

  • @hovhadovah
    @hovhadovah 8 ปีที่แล้ว +2

    It also helps a lot if you've taken AP Calculus and are familiar with differential equations. It makes things a lot easier in terms of understanding the notation.

  • @Ducklingproductions0
    @Ducklingproductions0 11 ปีที่แล้ว

    Biology revision done for the day, watching 10 or so videos! Thanks, these are really helpful!

  • @emmaandersson1730
    @emmaandersson1730 9 ปีที่แล้ว +2

    Thank you soooo soo much!! This has really helped me a lot!! :)

  • @hahaLOLimlaughing
    @hahaLOLimlaughing 11 ปีที่แล้ว

    This is so helpful! no wonder my own ap bio teacher made me watch it for homework... :) It definitely helped me understand

  • @bevanlouis5646
    @bevanlouis5646 7 ปีที่แล้ว +4

    you get two different answers when using the two equations provided for exponential growth.............. N.e^(r.t) and N(1+r)^t....which one do we use ????????

  • @coolprofcp3814
    @coolprofcp3814 11 ปีที่แล้ว

    Thank you for all the great videos. I have a few general questions but I did not know where would be appropriate to post. So, here they are and I hope you will reply: (1) Is the background a photographic backdrop as it appears in videos or is it a green screen? (2) do you use additional video lighting beyond the room light? (3) how do you avoid computer monitor reflection on your glasses or the blue/green light of the monitor on the face? A picture of the setup would be wonderful. Thanks.

  • @science-bite-size
    @science-bite-size 11 ปีที่แล้ว

    Great video - that part that I could watch. Somewhere around 3:30 the sound gets desynchronized from the video and then sometime later the image goes blurry then sound disappears completely.

  • @martysalas2566
    @martysalas2566 2 ปีที่แล้ว

    Very helpful video. I understand the concept after watching this video:)

  • @flaviaoliveira5949
    @flaviaoliveira5949 5 ปีที่แล้ว

    You are a great teacher, thank you.

  • @meowmeowkittycatmeowmeow
    @meowmeowkittycatmeowmeow 11 ปีที่แล้ว

    I find your videos incredibly helpful so thank you so much!!! Btw, has anyone told you how much you look like Hank Green (from the vlogbrothers)?

  • @divermike8943
    @divermike8943 4 ปีที่แล้ว

    At least 3 of us have the same question: Where did N0(t)=N0(1+R)^t come from. In your spreadsheet you are using N(t)=Sum(Nn+R*Nn)=Sum[Nn(1+R)] with n=0 to n=t Don't know how to type the Summation Notation here. I checked and iteratively summing Nn(1+R) from n=0 to n=t does give you the same values as N(t)=N(0)*[1=R]^t but I'd like to see the algebra that gets you there. That is how did you get the closed-form solution? Also the solution to the diff equation dN/dt=RN is N(t)=N*e^r(*t ) as Ceilia Jennings mentions below.

  • @avani3510
    @avani3510 7 ปีที่แล้ว

    thank you so much i was so confused by this because i missed the day my teacher went over it but i understand it now

  • @Educationbanglaa
    @Educationbanglaa 3 ปีที่แล้ว

    THANK YOU very much . Love from India
    EASILY UNDERSTOOD

  • @silencedidgood
    @silencedidgood 11 ปีที่แล้ว

    You do great work (my daughters will have just missed it) but somehow euler has been left out of the discussion. When you get a chance you should check out the discussion at better explained ...do a web search. Keep it up...perhaps my grand kids will use your stuff.

  • @tshililomulaudzi6571
    @tshililomulaudzi6571 8 หลายเดือนก่อน

    Wow, thank you, now I am sure of my answers.

  • @Mckreelove
    @Mckreelove 11 ปีที่แล้ว

    My Heroo! thank you so muchh i really wish i could officially meet you and have some bio lessons =D

  • @fastertempo
    @fastertempo 10 ปีที่แล้ว

    Thank you so much!
    I have recently struggled very much in a math class that I unfortunately had to drop out of :(
    I needed to learn quickly how to do Exponential Growth for my new math class and you taught me in 10 minutes!
    Thanks,
    Eric

  • @corradoblondi9792
    @corradoblondi9792 4 ปีที่แล้ว

    You're a great teacher!!

  • @MartinaYow
    @MartinaYow 6 ปีที่แล้ว

    Thank you so much!!! I couldn't find anything to help with my kiddo's Ecology homework. Super user friendly.

  • @frankieroandMCR
    @frankieroandMCR 8 ปีที่แล้ว +1

    better than my university lecturers!

  • @Dyenosoreusrex
    @Dyenosoreusrex 11 ปีที่แล้ว

    Oh thanks for clearing it up.

  • @NeuroCurieux
    @NeuroCurieux 4 ปีที่แล้ว

    Super clear and entertaining as always! On my channel I use the example of $$$ increases also using Excel to introduce exponential growth

  • @deepthireddyvasi2075
    @deepthireddyvasi2075 10 ปีที่แล้ว

    was a wholesome vid indeed.

  • @tigershell1
    @tigershell1 7 ปีที่แล้ว

    Thanks for the help!

  • @youngchase3636
    @youngchase3636 10 ปีที่แล้ว

    BRILLIANT....thanks a lot!

  • @nephophile3003
    @nephophile3003 ปีที่แล้ว

    THANK YOU SO MUCH!

  • @CelineJennings
    @CelineJennings 8 ปีที่แล้ว +1

    Why does using N(t)=N(1+r)^ t, give you different results than if you used N(t)=Nexp^r*t . My professor gave me the latter, and I tried to apply it to the same problems you were doing at the end, but it gave different results.

    • @leticiamartinez9373
      @leticiamartinez9373 8 ปีที่แล้ว +1

      Did you have an answer to your question? I am wondering the same thing?

    • @divermike8943
      @divermike8943 4 ปีที่แล้ว

      Yes Me too. Are these just different exponential models? I know that solve the diff eq. dN/dt=rN yields N(t)=Ne^(r*t). Where does N(t)=N(1+R)^t come from

  • @BubblesandCake
    @BubblesandCake 11 ปีที่แล้ว

    You are my hero.

  • @OnepieceSlayer
    @OnepieceSlayer 3 ปีที่แล้ว

    Well done!

  • @bouclesbrillantes127
    @bouclesbrillantes127 2 ปีที่แล้ว

    Thank you 😊

  • @lovelyfrenzy1
    @lovelyfrenzy1 11 ปีที่แล้ว

    How would you find an estimate of just population (N)? Is there a formula for finding (N)?

  • @ernestturner2415
    @ernestturner2415 11 ปีที่แล้ว

    Can you please make a video on how to solve exponential growth word problems. I just cant understand how to do exponential growth.

  • @twowheelworld
    @twowheelworld 11 ปีที่แล้ว

    Great video, thank you!

  • @adiverma4712
    @adiverma4712 6 ปีที่แล้ว

    hello Mr Andersen, why didn't you use formula Nt=N.e^rt ?????

  • @1farhinmomtazriana25
    @1farhinmomtazriana25 5 ปีที่แล้ว +1

    Thanks a lot Sir. It was really helpful.

  • @UntilWeGotCaught
    @UntilWeGotCaught 11 ปีที่แล้ว

    Thank you so much! God Bless

  • @GDonPadlan
    @GDonPadlan 11 ปีที่แล้ว

    Greetings Mr. Millard's H Biology class!

  • @lil_lady8403
    @lil_lady8403 9 ปีที่แล้ว

    When you solve a population size over time what do you mean by the power for example you did (1.3)^30 but how did you get (2619.9)?

  • @shirlann9899
    @shirlann9899 11 ปีที่แล้ว

    THX, the video was very informative.

  • @uniramia4
    @uniramia4 11 ปีที่แล้ว

    great video!

  • @davidschwarz2530
    @davidschwarz2530 11 ปีที่แล้ว

    Video and sound work for me ~ David S

  • @DIANA4972
    @DIANA4972 10 ปีที่แล้ว

    thank you, I think I get this now :) FINALLY

  • @uhlicawu
    @uhlicawu 11 ปีที่แล้ว

    totally saw both john green and alton brown! the scientific version! :)

  • @emilywexler9238
    @emilywexler9238 11 ปีที่แล้ว

    Works fine on my end. Great videos :)

  • @kimberlykv4313
    @kimberlykv4313 5 ปีที่แล้ว

    How do you determine how many deaths there is?

  • @nat_han
    @nat_han 7 ปีที่แล้ว +2

    Glad they're only virtual rabbits

  • @EllyKSaysHi
    @EllyKSaysHi 11 ปีที่แล้ว

    is limits only related to calculus?

  • @cluelessdevice787
    @cluelessdevice787 10 ปีที่แล้ว +1

    Watching this on my iPhone, right after you talk about the population increasing to 29 the audio stops working...

  • @elizabethcrawford9356
    @elizabethcrawford9356 9 ปีที่แล้ว +10

    if there are 3.9 rabbits, wouldn't you round down to 3 since you cannot have .9 of a rabbit?

    • @Mornys
      @Mornys 9 ปีที่แล้ว

      +elizabeth crawford Sure you can have f.e. 3,9 rabbits when one rabbit is carrying and is 90% in term. Also how about Pistorius? =P

    • @hannahshaler2101
      @hannahshaler2101 6 ปีที่แล้ว

      elizabeth crawford you would round to 4

  • @AlwaysLoudAA
    @AlwaysLoudAA 11 ปีที่แล้ว

    Hello Mrs.Husinga class!

  • @MrPrabhubct
    @MrPrabhubct 11 ปีที่แล้ว

    Nice. Thanks.

  • @amasian16
    @amasian16 11 ปีที่แล้ว

    This is super helpful! T
    hank you!!

  • @rodgersotokoma8289
    @rodgersotokoma8289 8 ปีที่แล้ว

    Awesome..

  • @markdonaj264
    @markdonaj264 4 ปีที่แล้ว

    Mr Folsom?

  • @evanshui4653
    @evanshui4653 10 ปีที่แล้ว +1

    Linton sent me here.

  • @aumnamahshivaya6086
    @aumnamahshivaya6086 4 ปีที่แล้ว

    Tq🙏

  • @mervonium
    @mervonium 11 ปีที่แล้ว

    Reminds me of compound interest

  • @Dyenosoreusrex
    @Dyenosoreusrex 11 ปีที่แล้ว

    That doesn't make any sense. The formula was B2+0.3*B2. B2 is 10 so 10+0.3*10 should always be the same answer?

  • @xdustymanx
    @xdustymanx 6 ปีที่แล้ว

    why you burn the rabbitssssssssssss???????

  • @simplebio7489
    @simplebio7489 3 ปีที่แล้ว

    Super

  • @iammichelewithonel
    @iammichelewithonel 10 ปีที่แล้ว +4

    They're just virtual rabbits hahahaha

  • @silentbitbeadly8652
    @silentbitbeadly8652 11 ปีที่แล้ว

    Tanks

  • @casss320
    @casss320 7 ปีที่แล้ว

    Bless you. Please teach my ap bio class.

  • @troybrinson19
    @troybrinson19 10 ปีที่แล้ว

    Ok sir

  • @stephenkrus
    @stephenkrus 4 ปีที่แล้ว

    Weird... I fully understand this.
    So... the grown rate is nothing but multiplier that increases really fast over time. Hmm... 🤔

  • @Galaxy95311
    @Galaxy95311 8 ปีที่แล้ว

    I love u so much thank you

  • @gold_lychee
    @gold_lychee 3 ปีที่แล้ว

    omg thank you

  • @michaelseanchang
    @michaelseanchang 10 ปีที่แล้ว +45

    Im not okay with killing bunnies, whether virtual or physical. change your ways.

    • @shelleywell1
      @shelleywell1 9 ปีที่แล้ว +3

      +Michael Chang GROW UP , HE SAID ITS VIRTUAL , GET A GRIP

    • @shelleywell1
      @shelleywell1 8 ปีที่แล้ว

      I WILL CALL THE POLICE FOR YOU .IF YOU DID NOT GROW UP.

    • @buda1841
      @buda1841 7 ปีที่แล้ว

      realy????????

    • @buda1841
      @buda1841 7 ปีที่แล้ว

      *Really??????????????????????????????????????????????????????

    • @CrazyGamer-xi8rf
      @CrazyGamer-xi8rf 7 ปีที่แล้ว +2

      Tell that to the Australians

  • @zoharwolfson8914
    @zoharwolfson8914 8 ปีที่แล้ว

    This helped sooooooo much!! Yay Algebra one.. not really...

    • @sj.shewolf8435
      @sj.shewolf8435 8 ปีที่แล้ว

      Zo Wo I have accelerated algebra 😲😖

  • @fairyqueen4143
    @fairyqueen4143 ปีที่แล้ว

    Wow

  • @carloemanueledoria7648
    @carloemanueledoria7648 6 ปีที่แล้ว

    tseries favorite video

  • @agdoombagdoom8540
    @agdoombagdoom8540 3 ปีที่แล้ว

    There are just virtual rabbits 😊

  • @milaguzc
    @milaguzc 9 ปีที่แล้ว

    he is killing rabbits, this is not okay. I demand a court date for him to go to trial for death of rabbits

  • @xiiixiiih.16
    @xiiixiiih.16 2 ปีที่แล้ว

    💡🍎✌️

  • @mervonium
    @mervonium 11 ปีที่แล้ว

    This formula re,i

  • @kevinlam1828
    @kevinlam1828 7 ปีที่แล้ว

    roooney

  • @peaceking211
    @peaceking211 2 หลายเดือนก่อน +1

    "then I want to kill rabbits, don't worry they are just virtual rabbits" -- we see deep into this statement. Don't forget kuru disease and judgements soon to come upon all those who have killed "virtual" rabbits (definition of virtual: almost or nearly as described, but not completely) We see you. We understand you.

  • @norapatriciamejia
    @norapatriciamejia 4 ปีที่แล้ว

    🐇 🔥 = 😢

  • @xtourmaline
    @xtourmaline 3 ปีที่แล้ว

    they’re just virtual rabbits..