Exponential Growth and Decay (Precalculus - College Algebra 66)

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Professor Leonard Merch: professor-leon...
A discussion of Exponential growth and decay including population modeling, half-life, and Newton's Law of Cooling.

[@instaminox]

I graduated a year ago. I am officially a software Engineer. I am still subscribed to your channel and still hit the LIKE button as a sign of support when I see you around. Happy new year Leonard. Kindest regards

[@abdulsalamjama2174]

congrats! about to finish my first semester of software engineering and its really kicked my butt professor Leonard has really saved me at times this semester

[@Aksel45]

Congratulations of your graduation bro , can you please share your way of passing throughout all stages from high school diploma to software engineering ?

[@ricardocorrea9398]

@@Aksel45 I can tell you.... but the turth might make you mad

[@Aksel45]

@@ricardocorrea9398 just share please .

[@colleen5160]

I love you Prof Leonard! You are the reason I aced calculus AB 3 years ago and I'm happy to see you're still out here dedicating your time to help students!!

[@zuboland107]

oh man, he's still going. I appreciate this so much. Def gonna review this to strengthen my precalc skills.

[@zuboland107]

man, I'm gonna miss the class interaction when I get around to it.

[@frostclickcircle9425]

@@zuboland107 it would be rad if people made a Leonard-specific study group discord

[@ayrthhhn]

@@frostclickcircle9425 yeah

[@joaojulio435]

The last example was just brilliant. I wish I had this content 5 years ago or something... I would probably go for a math or physics major for sure! I went trough multiple math courses in university but never really understand the beauty of math, and so I'm here revising all of it by watching your videos. It's impressive how you can explain concepts so clearly :) Thank you so much

[@ltac8194]

MAY THE M.A BE WITH YOU! I love it.

[@BigBen866]

Awesome teacher🙏 Unfortunately I learnedPre-Calculus over 40 years ago from some burned out Professors from the 1950s. Now the light 💡 comes on 😩😩😩

[@Czmlol]

How would you go about plotting Professor Leonard's biceps growth? Is it going to be an exponential decay function and then you just laplace transform it?

[@itsme6591]

God bless you for this I HATE exponential growth and decay

[@gaudencioalcivar1642]

Hi how C(5)=100^(0.045*5) is 125? Could you explain it manually without calculator (ln). Thanks

[@renewd]

The turkey cooling reminds me of Zeno's paradox.

[@davidreiss8315]

But do we need a different equation if the Newtons aren't fig?

[@rhythmwinicour3914]

"Then we'll do Newton's Law of Cooling, which is kinda... cool"

[@MaviRishav]

can anyone tell if Prof Leonard did real analysis ,or theory calculas ,if not please suggest any nice Prof,my sem exams are next month😊

[@geeblenhoff1]

how much longer till we get to the trig part of the precalculus series?

[@eobardrush2112]

He explains at the end of the video

[@hughessoso2003]

may the force be with you. lol

[@qaveemsaeed4260]

I'm not gay but, love you sir.

[@whitebeardpirates7551]

i would recommend adding more keywords to the titles of the videos to get more views, as I was only able to find this by typing your name in the search bar rather than typing the math problem I was trying to solve

[@brookekonnry1376]

THANK YOU SO MUCH! watching this right before my calc exam (lol) and its helping sooo much! subscribed! thank you!

[@salmai.5788]

SIR!!!! YOURE THE BEST LITERALLY POOKIE THANK YOU!!!

[@theaveragemegaguy]

I LOVE YOU I LOVE YOU I LOVE YOU I LOVE YOU I LOVE YOU ILOVE YOU I LOVE YOU I LOVE YOU I LOVE YOU I LOVE YOU I LOVE YOUUUUUUUUUUUUUUU

[@08anishchandyadav58]

you really helped me with my poor calculus, thank you so much

[@georgesadler7830]

Professor Leonard, thank you for a well-planned lecture/video on Exponential Growth and Decay. This material studies human problems and solutions in the real world. Exponential Growth and Decay is life long and none ending problem on this earth.

[@juliasc7188]

Thank you, Professor Leonard! This really helped me prepare for my final exam! Sending you gratitude! 😄🍀

[@RollingThunder07]

Namaste...Today is Diwali and I am watching ur video... Wish u happy Diwali Professor. Love from India ❤❤❤

[@smritiverma4600]

Same Here 🙏

[@lenscelotdiaries4337]

watching this as engineering student. would love to go back to this comment someday as an electrical engineer lololol

[@Crazy_B345]

Why is the calculator written " may the m.a be with you " 😅

[@henkoegema6390]

Where is the paradox that the turkey will never reach 30 C (theoretical) Is this like the turtle and the hare? 😃

[@juannpablo01]

I'm soo greatful i found this. No one could've explained this better to me. Thank you!

[@TenzinDhondhen-h3t]

Best Professor I swear to god!!!!!!!

[@realmathinaminute]

SO VERY HELPFUL here late at night. No longer in panic mode. Thanks!!!

[@renewd]

Excellent breakdown and explanation for deeper understanding.

[@siddhanthiruvanti1493]

thank you so much

[@aesthetic2367]

Thank you for this God Bless you

[@Aksel45]

I love the way you explain math professor Leonard. All thanksful and appreciation to you .

[@elanurerdogan8586]

thank youuuu

[@adrianloh6919]

Arithmetic sequence - 1 video Geometric sequence and series - 1 video Mathematical induction - 1 video Binomial Theorem - 1 video Counting principles, permutations and combination - 1 video Probability - 1 video Estimated after 6 videos then only trigonometry

[@bigshaqsmathematicalinstit3318]

He might also cover the conic sections as well for college algebra :)

[@eobardrush2112]

Is Trigonometry separate from College Algebra?

[@eobardrush2112]

Also I would probably estimate Binomial Theorem to have more than 1 video

[@adrianloh6919]

@@eobardrush2112 no, this is Precalculus (College Algebra/Trigonometry) series.

[@eobardrush2112]

@@adrianloh6919 Aah so basically Precal is both College Algebra and Trigonometry While College Algebra does not include Trigonometry

[@mohammadhojat3720]

someone should give you the Nobel prize of teaching.

[@shravans7184]

I have a doubt regarding the last point of the lecture..... if it practically gets near 30 degree Celsius, does that means Newtons law of cooling has got limitations ??

[@Peter_1986]

Not only does this part of math use the term "half-life", but there also exists a command in the programming language MatLab that is literally called "fzero". Video game math ftw!

[@adelittastanton]

God bless you. This is so much help.

[@NovaWarrior77]

MY MAN.