Exponential Growth and Decay Calculus, Relative Growth Rate, Differential Equations, Word Problems

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/

[@rafaf8764]

you prevented me from crying tonight, thx

[@Kekesos]

@@sawsahine253 Thanks?

[@lunatic_3521]

maybe you should reconsider your academical career

[@bryangrheh5854]

@@lunatic_3521 *academic

[@pvpetvlogs5298]

Same here 🤗

[@ferry6700]

Cry is good sometimes

[@Ydmaster]

I usually do not write comment but I had to say that you are better than an average professor. If it were up to me, I would give you a piece of my tuition to learn straight from you. You are amazing.

[@wakeupthisisntreal8168]

you are english really doesn't sounded good. please working on it please before you try comment.

[@deez469]

@@wakeupthisisntreal8168 bro shut up let him express his opinion. The english was not that bad

[@SynthornCosplay]

@@wakeupthisisntreal8168 Yours is way worse bud, practice what you preach

[@princesssarhpaulapepino1389]

@@wakeupthisisntreal8168 srsly?🤦‍♀️

[@Bangarang_Fishing]

@@wakeupthisisntreal8168 u gotta be trolling

[@giappham4913]

I'm sincerely grateful from deep down in my heart, you're my savior !

[@ernestjesly]

There are only few good teachers who teach upto the basic for every explanations. You are one among. God bless you.

[@spencerbaldwin3652]

literally the only reason I pass any of my stem classes, you are such a godsend and I have learned most of my curriculum straight from your videos

[@울프-i3n]

This guy knows how to teach really well. Thanks man

[@pvpetvlogs5298]

True bro he is Amazing 😍😍

[@S10Alexander]

I hope they realize one day that this guy deserves a Nobel Peace Prize for this channel

[@muhammadmuddasir1296]

This video provides a bunch of information to those who seek help in mathematics especially in Calculus, and if someone doesn,t want to learn it then it is not the teacher's concern. Thanks a bunch for delineating it very clearly. May Allah bless you with boons.

[@mahirislam3456]

you are a life saver. when i start earning, ill donate to your channel and this is a reminder to myself to do so

[@JosueBenitez-d8p]

I solved a Rubix cube after this. And went to the moon.

[@gracemcpadden3708]

Every time I struggle with something its straight to your channel. I learn an hour worth of lecture in the first 2 minutes of all your videos! Love you!

[@Soham_Rahman]

Same here, I learn more from him than my teacher

[@akunna1]

God bless you! Keep doing what you're doing :D You've helped me so much in my chemistry and calculus college classes. I'm so grateful. Thank you!

[@OGTennyson]

How's it going?...u done with sch nw?

[@nobo4836]

Man is out here saving lives

[@paoladaly3610]

wow you just illuminated my life

[@vaibhavvarsh]

bhai aapka noleg to kamaal ka hai. lots of love, thanks dude!

[@01Binary]

You have some pretty incredible explanation skills

[@magujeremy5465]

Thank you Organic Chem Tutor,,, you are our Top Ranking Tutor so far ❤🎉

[@katherinec.4218]

Quiz tmr and I literally knew nothing, I’d like to thank you for saving my grade

[@clintonombasa7153]

Hey there, inbox me at "[e-mail]". If stuck with deadline assignments and exams or even classes, hit my inbox, always there to help at reasonable prices.Thank You😊

[@georgesadler7830]

MR. Organic Chemistry tutor, thank you for a solid analysis and explanation of Exponential Growth and Decay Problems and how it impacts life of all forms on planet earth.

[@chidomudondo2714]

My Math tutor....number one videos.Thank you.

[@clintonombasa7153]

Hey there, inbox me at "[e-mail]". If stuck with deadline assignments and exams or even classes, hit my inbox, always there to help at reasonable prices.Thank You😊

[@sunwoodesc]

Youre the only reason i have made it to junior year of college

[@mustafamalik4211]

Professor, can you also tell me the derivative and the original equation for inversely proportional and jointly proportional? Thank you

[@awesomenatora]

Thank you for making more sense than my teacher

[@obayrafi2632]

Thanks a lot!! 💜 Ive been searching for this answer for like 2 weeks

[@emptyxnes]

thank you. this is helping me with the growth and decay portion of the calc clep review.

[@abdulrafay2420]

Why you put 0 and 1 instead of 2000 and 2001 ?? At 6:30

[@sheriff7558]

Voice is soo electrified.

[@bellakulasa2098]

ahh, another night of homework, another night of watching these wonderful videos

[@glennrickelton4093]

As usual - great explanations and top quality teaching

[@nguyentuananhphan8644]

This man really knows what to say :) Great video.

[@edutalib290]

This is nice to learn from your side.

[@ivanovicms4872]

Am so grateful for your work sir because I have academically benefited alot from your online platfom

[@karimandsarashow819]

you are the tutor goat

[@freedomnkululeko5931]

thank you so much Sir you have really made it clear you are indeed the best

[@sakkariyaibrahim2650]

Very good explanation

[@siddean5048]

Is the integral of 1/p dp not lap + C. Why did you leave out the constant

[@jesuswilliam1029]

Superb content

[@maxmaxwill4472]

It feels illegal to watch this for free😳much love #OCT👍

[@joanataglucop5129]

thank you for this helpful video i got my right answer and no doubts right now

[@stubbornsouleve9920]

Thnkx 4 the video.. Well explained ❤️✨

[@biggerthaninfinity7604]

Thank you so much, you explained very well for what all the variables stand for.

[@Samir-rd8xp]

Who else has an exam today

[@Ayame-Anika]

Me exactly 1hr and 19 mins from now

[@billygraham5589]

How do you go from (e^kt)(e^C) to Ce^kt? I see how you go from e^kt+C to (e^kt)(e^C) as I am familiar with that rule of exponents, but not the second step/transformation. How did you get Ce^kt? EDIT: Okay, I see. The "C" is a constant, so e^C is a constant also, and replaced with just "C"

[@nancyngoasheng7806]

He says "thanks for watching". No sir, THANK YOU, for creating this video.

[@analdndlozi1432]

great math thanks bro

[@Sunshine_7x]

When I watched this, I was trying to figure out when we can use t1/2=ln2/k when finding the constant for the equation P (t)=Ne^kt. Any pointers Sir?

[@snowwyvl4592]

not really

[@kevinemugisha9035]

i love you ,am a big fan

[@saramoussakone5190]

So so so helpful !! Thank you !!

[@charlesm-h1012]

It's helpful to distinguish your second constant from the first. e^c=/=c, but it could equal c subscript 1

[@pigwartisubscribeback8198]

They’re all constants. Doesn’t matter

[@cricketfever0954]

Bro 😭😭😭😭 love you

[@shafin5685]

ratio

[@wes8539]

Better than my calc teacher :(

[@MuhammedIbnSuhaylIbnAbdAlAzeez]

Alhamdulillah for you. You are so helpful

[@jellyman-]

yo at 4:35 how did you go from "P = " to "P(t) = "? where that t come from?

[@Nma717]

It's just represents a function

[@Nma717]

Population as a function of time

[@favourokonkwo6894]

thank you >>>>>>>>>>>>>>>>>>>>>>>>>>>

[@Hi_Brien]

Okay, cool, I think I can knock out my homework in a few minutes now, thanks a ton! Imma take a brake cuz I'm just like 20 minutes from being done I think. So yeah!

[@Abdulmoiz-lx8vv]

ustad gee shukria..

[@jacksonmorris9234]

what happened to the other +c at 2:54? shouldn't ln(p) have a +c term b/c no limits?

[@jellymath]

Yes it should! Except... the constant IS in the equation already. The constant in an indefinite integral could be any value, because we don't know it. so for example, here: f(x) + C = g(x) + D let us say, that C and D are some constants we don't know the value of. Then the expression "f(x) + C = g(x) + D" can actually be written as: f(x) + C - C = g(x) + D - C (subtracting 'C' form both sides) or f(x) = g(x) + D - C And since D - C is also just a constant, we can write it as a single one, for example 'E' E = D - C then f(x) = g(x) + E which is the same as f(x) = g(x) + C Also, we can write a solution to an indefinite integral as this: integral of (2x) with respect to x = x^2 + C or x^2 + C + D or even x^2 + C + D + E + F + G + H + I + J + K *because the constants can kind of "sum up" into a single constant* Therefore we don't need a constant on both sides of the equation, since the constant value we increase it by (+C) "takes care" of all constant-additions we may wanna do on our expression You might have noticed I only said "increase" and "(+C)". Remember, the constant (C) can also be a negative number! It can be a positive number! It can be an imaginary number! It's just more convenient to write "+C" than "-C", though the latter is just as correct. I know this response is kind of late, but maybe someone else will find it useful and I'm bored

[@rdxxn_]

@@jellymath You were right in saying that someone else would find it useful, this is the exact thing i was looking for. Thank you for the in depth explanation.

[@attractiveallroundergirl6127]

😮 thanks amazing guy❤

[@MrLennon70]

sooooooooooooooo helpful!!!! thanks bro

[@maxwu6157]

Very helpful, Thank You!

[@jowlenejones]

GOD Bless you honestly!

[@heathervaughan1073]

you are my lord and savior thank you so much

[@didarali1607]

Thank u so much for this...

[@nkockhonahmkhwanazi1207]

Amazing broe

[@markheslop5558]

Really good. However, the problem is that this presupposes that the data actually can be fitted by an exponential, since only the value of P at 2001 is used to calculate k......why not the values of P at 2002, 2003 etc.

[@failedsave1788]

So what do you do if you aren't given P(0), and instead given P(2) or a different one? How do you find P(0)/C?

[@galacticun6752]

Brilliant!

[@tomdapchai]

this is awesome

[@yousif300]

I love you pro❤

[@lilacdaven]

I don't need a father when I have you, OCT.

[@ricric4722]

Thank you!

[@sakkariyaibrahim2650]

You are best

[@Mjollnirolcam]

thank you man

[@danban2281]

Thank you so much!

[@Chaudharys1]

You are wonderful

[@wacayleaa.3462]

THANK YOU

[@Ngumangafx23]

if in 2000 ,t=0. is "t" not supposed to be =9 in 2010? i love your tutorials anyway!!! NAMIBIA

[@bernielynpadilla]

would this apply if its about germination in plants? length of plants where t represents the day a seed started to sprout?

[@winscaser4008]

watching this 20 minutes before the exam. 😂

[@TesfalemFissehaye]

u saved me today

[@lukeboeson1867]

This was bugging me so fucking much you sir are a true g

[@benjaminbergstrom1283]

Am I learning orgo from Mark Walberg?

[@taylorbell1649]

THANK YOU!!! I totally imagine that this is lowkey Mark Wahlberg teaching me math :DDD

[@lincolndexter9514]

they dont' sound alike whatsoever

[@MariaRomero-bw7uy]

Why does everybody call him Mark Walberg? Please explain!

[@dominickreyes6181]

In the Bacteria Example, why wasn't the formula y=a(1+r)^t used? Why wasn't the 1 included?

[@erikpaulestrada1767]

how did you compute for 0.05 where did you get that numbers

[@alihemed4484]

can this this formula be used for micro organisms like micro-algae?

[@ilkpjz5474]

What happens to the dp when integrated? Doesn’t it become P?

[@ceprodarisystem5051]

No, It becomes ln P cause DP/P is (1/P)DP

[@ChancyNeatwell]

I can go and write my exam now

[@muhammadrahim4712]

you deserve all the ladies in the club

[@jabatunnessa4395]

why cannot we use the exponential growth formula? y=S(1+R)^t?

[@keneuwelydiahrantalane650]

thank you mr

[@brynechibaya3407]

you a miracle

[@syedkamranali2473]

saviour ❤❤

[@rebeccajin5673]

Thank you

[@doctordootch]

Help with this one. The population of a city was 125000 in 1940 and 68 years later, in 2008, it was 625000,so, the city is 5 times the size. If the population grows at the same rate, when will the population be 3125000?

[@honeyvickexportsmradebayo1598]

Year 2076. i.e. they grow 500% every 68 years.

[@atsutodeguchi4168]

Thanks :)

[@rigatonischnapp898]

Best around

[@ainerice7052]

Thank you!!!!!!!

[@timwarburton939]

Where did the e come from in the first problem?

[@hasanmohammad3945]

dude, you're fucking amazing