Exponential Growth

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  • Опубліковано 27 вер 2024

КОМЕНТАРІ • 117

  • @jenniferwang946
    @jenniferwang946 3 роки тому +7

    Seven years later, these videos are still useful af.

  • @Gingerforlifeeee
    @Gingerforlifeeee 4 роки тому +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.

  • @Bozemanscience1
    @Bozemanscience1  11 років тому +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.

  • @hopepeterson7781
    @hopepeterson7781 10 років тому +7

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

  • @Bozemanscience1
    @Bozemanscience1  11 років тому +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 UA-cam headquarters and he is wonderful and he is from Montana. Double thumbs up.

  • @horizonbrave1533
    @horizonbrave1533 5 років тому +24

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

  • @zachlantz516
    @zachlantz516 10 років тому +8

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

  • @GoodyChild7
    @GoodyChild7 9 років тому +35

    This was perfect I wish you were my teacher

  • @MissAngelFaace
    @MissAngelFaace 10 років тому +1

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

  • @hovhadovah
    @hovhadovah 8 років тому +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.

  • @punkifob
    @punkifob 10 років тому +6

    thank you!!! understood after hours of confusion!

  • @jeannetteaok9420
    @jeannetteaok9420 4 роки тому

    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!

  • @haleywunderlich2313
    @haleywunderlich2313 11 років тому +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

  • @Bozemanscience1
    @Bozemanscience1  11 років тому +1

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

  • @thebignoob1569
    @thebignoob1569 3 роки тому +1

    Your explanations are so clear!

  • @Bozemanscience1
    @Bozemanscience1  11 років тому

    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.

  • @shelleywell1
    @shelleywell1 9 років тому

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

  • @1314Fher
    @1314Fher 10 років тому +5

    Yeeeeees! I need this. Thank you!

  • @human.earthling
    @human.earthling 8 років тому

    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

  • @science-bite-size
    @science-bite-size 11 років тому

    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.

  • @Educationbanglaa
    @Educationbanglaa 3 роки тому

    THANK YOU very much . Love from India
    EASILY UNDERSTOOD

  • @lauratomlinson1035
    @lauratomlinson1035 11 років тому +1

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

  • @emmaandersson1730
    @emmaandersson1730 8 років тому +2

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

  • @fastertempo
    @fastertempo 10 років тому

    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

  • @coolprofcp3814
    @coolprofcp3814 11 років тому

    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.

  • @bevanlouis5646
    @bevanlouis5646 7 років тому +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 ????????

  • @divermike8943
    @divermike8943 4 роки тому

    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.

  • @hahaLOLimlaughing
    @hahaLOLimlaughing 11 років тому

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

  • @tshililomulaudzi6571
    @tshililomulaudzi6571 6 місяців тому

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

  • @silencedidgood
    @silencedidgood 11 років тому

    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.

  • @meowmeowkittycatmeowmeow
    @meowmeowkittycatmeowmeow 11 років тому

    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)?

  • @NeuroCurieux
    @NeuroCurieux 3 роки тому

    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 роки тому

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

  • @avani3510
    @avani3510 6 років тому

    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 3 роки тому

    You're a great teacher!!

  • @cluelessdevice787
    @cluelessdevice787 10 років тому +1

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

  • @frankieroandMCR
    @frankieroandMCR 8 років тому +1

    better than my university lecturers!

  • @CelineJennings
    @CelineJennings 8 років тому +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 років тому +1

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

    • @divermike8943
      @divermike8943 4 роки тому

      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

  • @bouclesbrillantes127
    @bouclesbrillantes127 2 роки тому

    Thank you 😊

  • @youngchase3636
    @youngchase3636 10 років тому

    BRILLIANT....thanks a lot!

  • @adiverma4712
    @adiverma4712 6 років тому

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

  • @lovelyfrenzy1
    @lovelyfrenzy1 11 років тому

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

  • @Dyenosoreusrex
    @Dyenosoreusrex 11 років тому

    Oh thanks for clearing it up.

  • @tigershell1
    @tigershell1 6 років тому

    Thanks for the help!

  • @OnepieceSlayer
    @OnepieceSlayer 3 роки тому

    Well done!

  • @1farhinmomtazriana25
    @1farhinmomtazriana25 5 років тому +1

    Thanks a lot Sir. It was really helpful.

  • @twowheelworld
    @twowheelworld 11 років тому

    Great video, thank you!

  • @davidschwarz2530
    @davidschwarz2530 11 років тому

    Video and sound work for me ~ David S

  • @michaelseanchang
    @michaelseanchang 10 років тому +44

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

    • @shelleywell1
      @shelleywell1 9 років тому +3

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

    • @shelleywell1
      @shelleywell1 8 років тому

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

    • @buda1841
      @buda1841 6 років тому

      realy????????

    • @buda1841
      @buda1841 6 років тому

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

    • @CrazyGamer-xi8rf
      @CrazyGamer-xi8rf 6 років тому +2

      Tell that to the Australians

  • @uniramia4
    @uniramia4 11 років тому

    great video!

  • @shirlann9899
    @shirlann9899 11 років тому

    THX, the video was very informative.

  • @stephendelacruzone
    @stephendelacruzone 4 роки тому

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

  • @uhlicawu
    @uhlicawu 11 років тому

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

  • @amasian16
    @amasian16 11 років тому

    This is super helpful! T
    hank you!!

  • @emilywexler9238
    @emilywexler9238 11 років тому

    Works fine on my end. Great videos :)

  • @simplebio7489
    @simplebio7489 3 роки тому

    Super

  • @markdonaj264
    @markdonaj264 4 роки тому

    Mr Folsom?

  • @MrPrabhubct
    @MrPrabhubct 11 років тому

    Nice. Thanks.

  • @mervonium
    @mervonium 11 років тому

    Reminds me of compound interest

  • @rodgersotokoma8289
    @rodgersotokoma8289 8 років тому

    Awesome..

  • @aumnamahshivaya6086
    @aumnamahshivaya6086 3 роки тому

    Tq🙏

  • @iammichelewithonel
    @iammichelewithonel 10 років тому +4

    They're just virtual rabbits hahahaha

  • @zoharwolfson8914
    @zoharwolfson8914 7 років тому

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

    • @sj.shewolf8435
      @sj.shewolf8435 7 років тому

      Zo Wo I have accelerated algebra 😲😖

  • @casss320
    @casss320 6 років тому

    Bless you. Please teach my ap bio class.

  • @gold_lychee
    @gold_lychee 3 роки тому

    omg thank you

  • @silentbitbeadly8652
    @silentbitbeadly8652 10 років тому

    Tanks

  • @xdustymanx
    @xdustymanx 5 років тому

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

  • @xtourmaline
    @xtourmaline 3 роки тому

    they’re just virtual rabbits..

  • @agdoombagdoom8540
    @agdoombagdoom8540 3 роки тому

    There are just virtual rabbits 😊

  • @xiiixiiih.16
    @xiiixiiih.16 Рік тому

    💡🍎✌️

  • @milaguzc
    @milaguzc 9 років тому

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

  • @kevinlam1828
    @kevinlam1828 7 років тому

    roooney

  • @chrismedbury2049
    @chrismedbury2049 7 років тому +3

    i hate tis crap but I gotta larn it lmao

  • @annakaren3228
    @annakaren3228 7 років тому

    does anyone else think he lowkey looks like Lucifer (aka the devil) (played by Mark Ross Pellegrino) from Supernatural??

  • @gardenfairy947
    @gardenfairy947 10 років тому +9

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

  • @peaceking211
    @peaceking211 19 днів тому +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.

  • @nat_han
    @nat_han 7 років тому +2

    Glad they're only virtual rabbits

  • @Dyenosoreusrex
    @Dyenosoreusrex 11 років тому

    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?

  • @evanshui4653
    @evanshui4653 10 років тому +1

    Linton sent me here.

  • @Cartel834
    @Cartel834 4 роки тому

    COVID-19 be like

  • @nephophile3003
    @nephophile3003 Рік тому

    THANK YOU SO MUCH!

  • @mervonium
    @mervonium 11 років тому

    This formula re,i

  • @fairyqueen4143
    @fairyqueen4143 11 місяців тому

    Wow

  • @norapatriciamejia
    @norapatriciamejia 3 роки тому

    🐇 🔥 = 😢

  • @ernestturner2415
    @ernestturner2415 11 років тому

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

  • @lil_lady8403
    @lil_lady8403 8 років тому

    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)?

  • @MartinaYow
    @MartinaYow 6 років тому

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

  • @elizabethcrawford9356
    @elizabethcrawford9356 9 років тому +10

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

    • @Mornys
      @Mornys 8 років тому

      +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 років тому

      elizabeth crawford you would round to 4

  • @Mckreelove
    @Mckreelove 11 років тому

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

  • @Ducklingproductions0
    @Ducklingproductions0 11 років тому

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

  • @DIANA4972
    @DIANA4972 10 років тому

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

  • @kimberlykv4313
    @kimberlykv4313 5 років тому

    How do you determine how many deaths there is?

  • @UntilWeGotCaught
    @UntilWeGotCaught 11 років тому

    Thank you so much! God Bless

  • @GDonPadlan
    @GDonPadlan 11 років тому

    Greetings Mr. Millard's H Biology class!

  • @EllyKSaysHi
    @EllyKSaysHi 11 років тому

    is limits only related to calculus?

  • @flaviaoliveira5949
    @flaviaoliveira5949 5 років тому

    You are a great teacher, thank you.

  • @deepthireddyvasi2075
    @deepthireddyvasi2075 10 років тому

    was a wholesome vid indeed.

  • @Galaxy95311
    @Galaxy95311 8 років тому

    I love u so much thank you

  • @carloemanueledoria7648
    @carloemanueledoria7648 5 років тому

    tseries favorite video

  • @AlwaysLoudAA
    @AlwaysLoudAA 11 років тому

    Hello Mrs.Husinga class!