Exponential Growth

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  • Опубликовано: 25 ноя 2024

Комментарии • 117

  • @jenniferwang946
    @jenniferwang946 3 года назад +7

    Seven years later, these videos are still useful af.

  • @Bozemanscience1
    @Bozemanscience1  11 лет назад +24

    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 RUclips headquarters and he is wonderful and he is from Montana. Double thumbs up.

  • @gardenfairy947
    @gardenfairy947 11 лет назад +9

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

  • @Gingerforlifeeee
    @Gingerforlifeeee 4 года назад +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 лет назад +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 лет назад +35

    This was perfect I wish you were my teacher

  • @Bozemanscience1
    @Bozemanscience1  11 лет назад +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.

  • @zachlantz516
    @zachlantz516 10 лет назад +8

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

  • @jeannetteaok9420
    @jeannetteaok9420 4 года назад

    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!

  • @hovhadovah
    @hovhadovah 8 лет назад +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.

  • @Bozemanscience1
    @Bozemanscience1  11 лет назад +1

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

  • @horizonbrave1533
    @horizonbrave1533 5 лет назад +24

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

  • @thebignoob1569
    @thebignoob1569 4 года назад +1

    Your explanations are so clear!

  • @punkifob
    @punkifob 10 лет назад +6

    thank you!!! understood after hours of confusion!

  • @haleywunderlich2313
    @haleywunderlich2313 11 лет назад +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

  • @MissAngelFaace
    @MissAngelFaace 10 лет назад +1

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

  • @mus1307
    @mus1307 8 лет назад

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

  • @shelleywell1
    @shelleywell1 9 лет назад

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

  • @1314Fher
    @1314Fher 10 лет назад +5

    Yeeeeees! I need this. Thank you!

  • @Educationbanglaa
    @Educationbanglaa 3 года назад

    THANK YOU very much . Love from India
    EASILY UNDERSTOOD

  • @human.earthling
    @human.earthling 8 лет назад

    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

  • @Bozemanscience1
    @Bozemanscience1  11 лет назад

    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.

  • @emmaandersson1730
    @emmaandersson1730 9 лет назад +2

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

  • @lauratomlinson1035
    @lauratomlinson1035 11 лет назад +1

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

  • @Ducklingproductions0
    @Ducklingproductions0 11 лет назад

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

  • @flaviaoliveira5949
    @flaviaoliveira5949 5 лет назад

    You are a great teacher, thank you.

  • @fastertempo
    @fastertempo 10 лет назад

    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

  • @NeuroCurieux
    @NeuroCurieux 4 года назад

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

  • @martysalas2566
    @martysalas2566 2 года назад

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

  • @Dyenosoreusrex
    @Dyenosoreusrex 11 лет назад

    Oh thanks for clearing it up.

  • @hahaLOLimlaughing
    @hahaLOLimlaughing 11 лет назад

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

  • @science-bite-size
    @science-bite-size 11 лет назад

    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.

  • @avani3510
    @avani3510 6 лет назад

    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

  • @corradoblondi9792
    @corradoblondi9792 4 года назад

    You're a great teacher!!

  • @tshililomulaudzi6571
    @tshililomulaudzi6571 8 месяцев назад

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

  • @nephophile3003
    @nephophile3003 Год назад

    THANK YOU SO MUCH!

  • @tigershell1
    @tigershell1 7 лет назад

    Thanks for the help!

  • @MartinaYow
    @MartinaYow 6 лет назад

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

  • @meowmeowkittycatmeowmeow
    @meowmeowkittycatmeowmeow 11 лет назад

    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)?

  • @OnepieceSlayer
    @OnepieceSlayer 3 года назад

    Well done!

  • @coolprofcp3814
    @coolprofcp3814 11 лет назад

    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.

  • @Mckreelove
    @Mckreelove 11 лет назад

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

  • @deepthireddyvasi2075
    @deepthireddyvasi2075 10 лет назад

    was a wholesome vid indeed.

  • @twowheelworld
    @twowheelworld 11 лет назад

    Great video, thank you!

  • @BubblesandCake
    @BubblesandCake 11 лет назад

    You are my hero.

  • @youngchase3636
    @youngchase3636 10 лет назад

    BRILLIANT....thanks a lot!

  • @silencedidgood
    @silencedidgood 11 лет назад

    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.

  • @bouclesbrillantes127
    @bouclesbrillantes127 2 года назад

    Thank you 😊

  • @divermike8943
    @divermike8943 4 года назад

    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.

  • @uniramia4
    @uniramia4 11 лет назад

    great video!

  • @shirlann9899
    @shirlann9899 11 лет назад

    THX, the video was very informative.

  • @uhlicawu
    @uhlicawu 11 лет назад

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

  • @1farhinmomtazriana25
    @1farhinmomtazriana25 5 лет назад +1

    Thanks a lot Sir. It was really helpful.

  • @UntilWeGotCaught
    @UntilWeGotCaught 11 лет назад

    Thank you so much! God Bless

  • @MrPrabhubct
    @MrPrabhubct 11 лет назад

    Nice. Thanks.

  • @rodgersotokoma8289
    @rodgersotokoma8289 8 лет назад

    Awesome..

  • @GDonPadlan
    @GDonPadlan 11 лет назад

    Greetings Mr. Millard's H Biology class!

  • @emilywexler9238
    @emilywexler9238 11 лет назад

    Works fine on my end. Great videos :)

  • @amasian16
    @amasian16 11 лет назад

    This is super helpful! T
    hank you!!

  • @davidschwarz2530
    @davidschwarz2530 11 лет назад

    Video and sound work for me ~ David S

  • @bevanlouis5646
    @bevanlouis5646 7 лет назад +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 ????????

  • @nat_han
    @nat_han 7 лет назад +2

    Glad they're only virtual rabbits

  • @frankieroandMCR
    @frankieroandMCR 8 лет назад +1

    better than my university lecturers!

  • @AlwaysLoudAA
    @AlwaysLoudAA 11 лет назад

    Hello Mrs.Husinga class!

  • @silentbitbeadly8652
    @silentbitbeadly8652 10 лет назад

    Tanks

  • @ernestturner2415
    @ernestturner2415 11 лет назад

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

  • @lovelyfrenzy1
    @lovelyfrenzy1 11 лет назад

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

  • @aumnamahshivaya6086
    @aumnamahshivaya6086 4 года назад

    Tq🙏

  • @DIANA4972
    @DIANA4972 10 лет назад

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

  • @simplebio7489
    @simplebio7489 3 года назад

    Super

  • @mervonium
    @mervonium 11 лет назад

    Reminds me of compound interest

  • @Galaxy95311
    @Galaxy95311 8 лет назад

    I love u so much thank you

  • @cluelessdevice787
    @cluelessdevice787 10 лет назад +1

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

  • @evanshui4653
    @evanshui4653 10 лет назад +1

    Linton sent me here.

  • @lil_lady8403
    @lil_lady8403 9 лет назад

    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)?

  • @gold_lychee
    @gold_lychee 3 года назад

    omg thank you

  • @kimberlykv4313
    @kimberlykv4313 5 лет назад

    How do you determine how many deaths there is?

  • @zoharwolfson8914
    @zoharwolfson8914 8 лет назад

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

    • @sj.shewolf8435
      @sj.shewolf8435 8 лет назад

      Zo Wo I have accelerated algebra 😲😖

  • @EllyKSaysHi
    @EllyKSaysHi 11 лет назад

    is limits only related to calculus?

  • @michaelseanchang
    @michaelseanchang 10 лет назад +45

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

    • @shelleywell1
      @shelleywell1 9 лет назад +3

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

    • @shelleywell1
      @shelleywell1 8 лет назад

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

    • @buda1841
      @buda1841 7 лет назад

      realy????????

    • @buda1841
      @buda1841 7 лет назад

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

    • @CrazyGamer-xi8rf
      @CrazyGamer-xi8rf 6 лет назад +2

      Tell that to the Australians

  • @troybrinson19
    @troybrinson19 10 лет назад

    Ok sir

  • @stephenkrus
    @stephenkrus 4 года назад

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

  • @adiverma4712
    @adiverma4712 6 лет назад

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

  • @CelineJennings
    @CelineJennings 8 лет назад +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 лет назад +1

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

    • @divermike8943
      @divermike8943 4 года назад

      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

  • @casss320
    @casss320 7 лет назад

    Bless you. Please teach my ap bio class.

  • @fairyqueen4143
    @fairyqueen4143 Год назад

    Wow

  • @elizabethcrawford9356
    @elizabethcrawford9356 9 лет назад +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 лет назад

      +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 лет назад

      elizabeth crawford you would round to 4

  • @iammichelewithonel
    @iammichelewithonel 10 лет назад +4

    They're just virtual rabbits hahahaha

  • @markdonaj264
    @markdonaj264 4 года назад

    Mr Folsom?

  • @milaguzc
    @milaguzc 9 лет назад

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

  • @carloemanueledoria7648
    @carloemanueledoria7648 6 лет назад

    tseries favorite video

  • @agdoombagdoom8540
    @agdoombagdoom8540 3 года назад

    There are just virtual rabbits 😊

  • @Dyenosoreusrex
    @Dyenosoreusrex 11 лет назад

    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?

  • @xiiixiiih.16
    @xiiixiiih.16 2 года назад

    💡🍎✌️

  • @xdustymanx
    @xdustymanx 6 лет назад

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

  • @xtourmaline
    @xtourmaline 3 года назад

    they’re just virtual rabbits..

  • @peaceking211
    @peaceking211 2 месяца назад +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.

  • @mervonium
    @mervonium 11 лет назад

    This formula re,i

  • @kevinlam1828
    @kevinlam1828 7 лет назад

    roooney

  • @norapatriciamejia
    @norapatriciamejia 4 года назад

    🐇 🔥 = 😢