I wish more instructors had your teaching style. You pick the perfect times to pause to let your viewers absorb what you just explained. A lot of instructors don't give their students time to absorb the material before they are throwing another concept at you.
An easy way of calculating the b value is by the formula ( L - A)/ A where L is the carrying capacity ( as seen in the video) and A being the initial population. For example, in the first word problem with the dogs on the island, the carrying capacity was 5000 and the initial population was 100. Therefore the b value can be calculated by (5000-100)/ (100) = 49. Please note that I have only seen up until the first problem where this was not mentioned at the time, in case he mentioned it later. Hope this helps!
Most universities will have a statistice course that uses the simplest forms of calculus before the deeper derivation and integration. Usually you'll have 1 or 2 formulas for the integration and derivatives given and you just apply them based on visual analysis before have them fully explained.
23:54 another way to get B which is much less prone to mistakes is B = ( carrying capacity - P(initial) ) / p(initial) ....... B = (5000 - 100) / 100 = 49
MR. Organic Chemistry Tutor, this video/lecture is a basic introduction to Logistic Growth and Differential Equations that describes population growth. This equation is well known in mathematics and nature.
Hi! What happens if your carrying capacity (max capacity) is equal to the value of your initial condition? I have P(0)=2500 ; with a carrying capacity of 2500, so my B is 0?
Actually, I couldn't understand the concept of logistic regression for data science before. But, after watching your video, it gave me a clear-cut definition. Thank you very much.. Sir.. ❤️❤️❤️❤️
the derivative of this logistic curve is wrong, the correct one would be p(t)'=(5000*t*49*2.71828^(-.174*t))/(1+49*2.71828^(-.174*t))^2 and then it matches if you graph both functions.
With respect to which variable? If you had t in mind as the variable of differentiation, this is how you'd do it: Use the chain rule. Let u =1 + e^(-k*t). This gives us L/u. Find d/du of this, using the power rule: d/du L/u = -L/u^2 We don't want d/du, we want d/dt. So multiply by du/dx: du/dt = d/dt (1) + d/dt (e^(-k*t)) = 0 - k*e^(-k*t) Plug in for u: -L/(1 + k*e^(-k*t)) * (-k*e^(-k*t)) Simplify, and get: L*e^(-k*t)/(1 + k*e^(k*t))
anyone know how he works out the ln value of (4/49) ? because he just says it and i don't know how he gets there, or if it is a setting on the calculator?
thank God!!!!! may God be with us all and keep us all in the mighty name of Jesus Amen! May we all live for over a hundred years with long life, good health and prosperity to glorify the mighty name of God! and may we live to go to heaven at the end in the mighty name of Jesus Amen! and remember we are not alone, God is with us and God loves us: remember this bible verse: For I know the plans I have for you,” declares the LORD, “plans to prosper you and not to harm you, plans to give you hope and a future thank God!!!!!!!! Jerimiah 29:11
![[UNCUT] “บอสณวัฒน์” ลากไส้!! ใครหนุนหลัง "แม่ตั๊ก ป๋าเบียร์" I คนดังนั่งเคลียร์ I 30 ก.ย. 67](http://i.ytimg.com/vi/QlD7mU2KKRk/mqdefault.jpg)
Next Video: th-cam.com/video/k7m2z0bX_tg/w-d-xo.html
Final Exams and Video Playlists: www.video-tutor.net/
I’m gonna watch every god damn ad in your video man. You’re so helpful
I wish more instructors had your teaching style. You pick the perfect times to pause to let your viewers absorb what you just explained. A lot of instructors don't give their students time to absorb the material before they are throwing another concept at you.
An easy way of calculating the b value is by the formula ( L - A)/ A where L is the carrying capacity ( as seen in the video) and A being the initial population. For example, in the first word problem with the dogs on the island, the carrying capacity was 5000 and the initial population was 100. Therefore the b value can be calculated by (5000-100)/ (100) = 49. Please note that I have only seen up until the first problem where this was not mentioned at the time, in case he mentioned it later. Hope this helps!
YOU ARE AMAZING! Thank you so much
I'm not entirely sure why this is in the Precalculus playlist when the entire video is basically just using Calculus?
Ya gotta learn to run before learn to walk
@@beijingwazzup2374 real
Most universities will have a statistice course that uses the simplest forms of calculus before the deeper derivation and integration. Usually you'll have 1 or 2 formulas for the integration and derivatives given and you just apply them based on visual analysis before have them fully explained.
I'm taking pre calc and am learning this now so it's not just in calc
That's all you got?! mic drop ur the man ily
goddamn this gy has a video on freaking everything
Crystal clear explanation with a useful refresher on integration by partial fractions. Well done!
I could undestand it Thankz kepp it up !✌✌
23:54 another way to get B which is much less prone to mistakes is B = ( carrying capacity - P(initial) ) / p(initial) ....... B = (5000 - 100) / 100 = 49
do i need to calculate the general solution for logistic equation if i can memories it
can anybody please explain me the line from 15:30 to 15:40?
dammit i have no idea whats going on but still watching
MR. Organic Chemistry Tutor, this video/lecture is a basic introduction to Logistic Growth and Differential Equations that describes population growth. This equation is well known in mathematics and nature.
Super well done video. Needed to understand this better for a Calculus project. Thank you for sharing!
Watch at 1.5x speed to get the Ben Shapiro experience
sounds like hell
wow. I just love your tutorials , you are a real gem
I love your videos
You explained this topic perfectly, I understood it within minutes.
You're so helpful
Hi! What happens if your carrying capacity (max capacity) is equal to the value of your initial condition? I have P(0)=2500 ; with a carrying capacity of 2500, so my B is 0?
There wouldn't be a logistics curve 😂 just a straight line
yes
Actually, I couldn't understand the concept of logistic regression for data science before. But, after watching your video, it gave me a clear-cut definition. Thank you very much.. Sir.. ❤️❤️❤️❤️
cheers legend
the derivative of this logistic curve is wrong, the correct one would be p(t)'=(5000*t*49*2.71828^(-.174*t))/(1+49*2.71828^(-.174*t))^2 and then it matches if you graph both functions.
mistake was at 15:28 i think (LHS)
did you know that you're my favorite person thanks for these videos
How do you do the derivative of L/(1+e^(-kt))
With respect to which variable?
If you had t in mind as the variable of differentiation, this is how you'd do it:
Use the chain rule. Let u =1 + e^(-k*t). This gives us L/u. Find d/du of this, using the power rule:
d/du L/u = -L/u^2
We don't want d/du, we want d/dt. So multiply by du/dx:
du/dt = d/dt (1) + d/dt (e^(-k*t)) = 0 - k*e^(-k*t)
Plug in for u:
-L/(1 + k*e^(-k*t)) * (-k*e^(-k*t))
Simplify, and get:
L*e^(-k*t)/(1 + k*e^(k*t))
anyone know how he works out the ln value of (4/49) ? because he just says it and i don't know how he gets there, or if it is a setting on the calculator?
dw found it lol
That's an ultimate example of perfect tutoring
What is b denotes... Pls ans
you can denote any constant using any letter, in this case is b
I still don't understand how you are simplifying the "e" exponent. That step needs much more explanation.
At 16:27 I wonder why we don't add c in the left side. I've be confused for a long period.
Think of left side C as C sub 1 and right side C as C sub 2. C=Csub2-Csub1. Since both are constants they can be combined i
Jesus Christ is Lord, King and Our Savor!
really helpful for understanding this chapter!!!!Thx^^
Well explained video, I have a quiz tomorrow and feel more prepared now. Thank you so much for all you do!
When its planes in the sky for a chain of supply that's logistics.
When the parts for the line come precisely on time that's logistics.
A continuous link that is always in sync that's logistics.
Carbon footprint reduced bottom line gets a boost that's logistics.
Please how can I get time when y approaches limit
Thank you
Prof
Thanks for all lectures and merry christmas
Have a note while having his lecture, its so worthwile..
I think I am in love with you after this
Nice video explains the logistic growth model step by step
can you compute the basic reproduction number, R0, from the constants: k and b?
👏👏👏👏thank you man
I love your videos too.
This helped me so much! Thank you!! 🙏
Thanks brother I really appreciate
:))
Pure genius!
Thank you!
Super channel
big brain
thank you so much
quite a bit of the question is memorization and not necessary for me to know atm adios ime outta here...
21:31
one of the best EVER
Beautiful.
beautifully explained
All of your videos up this one have been amazing. Can you redo this one? Seems like it wasn't as clear
thank God!!!!! may God be with us all and keep us all in the mighty name of Jesus Amen! May we all live for over a hundred years with long life, good health and prosperity to glorify the mighty name of God! and may we live to go to heaven at the end in the mighty name of Jesus Amen! and remember we are not alone, God is with us and God loves us: remember this bible verse: For I know the plans I have for you,” declares the LORD, “plans to prosper you and not to harm you, plans to give you hope and a future thank God!!!!!!!! Jerimiah 29:11
Could you possibly not shove your religion down people's throats in the comment section of a calculus video?? Thanks