Exponential Growth and Decay Calculus, Relative Growth Rate, Differential Equations, Word Problems
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- Опубліковано 3 лют 2017
- This calculus video tutorial focuses on exponential growth and decay. it shows you how to derive a general equation / formula for population growth starting with a differential equation.
Introduction to Limits: • Calculus 1 - Introduct...
Continuity & Differentiability: • Continuity and Differe...
Calculus 1 - Derivatives: • Calculus 1 - Derivatives
Introduction to Related Rates: • Introduction to Relate...
Local Maximum & Minimum: • Finding Local Maximum ...
L'Hopital's Rule: • L'hopital's rule
Curve Sketching With Derivatives: • Curve Sketching - Grap...
Newton's Method: • Newton's Method
Optimization Problems: • Optimization Problems ...
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Antiderivatives: • Antiderivatives
Basic Integration Problems: • Basic Integration Prob...
Indefinite Integral: • Indefinite Integral
Definite Integral: • Definite Integral
Differential Equations: • Finding Particular Sol...
Properties of Definite Integrals: • Properties of Definite...
Rectilinear Motion Problems: • Rectilinear Motion Pro...
Sigma Notation - Calculus: • Summation Formulas and...
Riemann Sums - Area: • Riemann Sums - Left En...
The Midpoint Rule: • Midpoint Rule & Rieman...
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Finding Area - Limit Definition: • Finding The Area Using...
Definite Integrals - Geometry: • Evaluating Definite In...
Fundamental Theorem - Part 1: • Fundamental Theorem of...
Fundamental Theorem - Part 2: • Fundamental Theorem of...
Net Change Theorem: • Net Change Theorem - C...
Mean Value Theorem - Integrals: • Mean Value Theorem For...
Average Value of a Function: • Average Value of a Fun...
U-Substitution - Indefinite Integrals: • How To Integrate Using...
U-Substitution - Definite Integrals: • U-substitution With De...
1st Order Differential Equations: • Separable First Order ...
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Initial Value Problem: • Initial Value Problem
Area Between Two Curves: • Area Between Two Curves
Disk and Washer Method: • Disk & Washer Method -...
Volume By The Shell Method: • Shell Method - Volume ...
Volume By Cross Sections: • Volumes Using Cross Se...
Arc Length Calculus Problems: • Arc Length Calculus Pr...
Surface Area of Revolution: • Surface Area of Revolu...
Work Problems - Calculus: • Work Problems - Calculus
Integration By Parts: • Integration By Parts
Trigonometric Integrals: • Trigonometric Integrals
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GPA Calculator: • How To Calculate Your ...
Save Money In College: • How To Save Money and ...
SAT Test Prep: • Evaluating Functions a...
ACT Test Prep: • ACT Math Test Prep
GRE Math Test Prep: • GRE Math Lessons, Test...
Calculus 1 Final Exam Review: • Calculus 1 Final Exam ...
Full Length Exams + Worksheets: bit.ly/4990rzU
Final Exams and Video Playlists: www.video-tutor.net/
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Hey there, inbox me at "ombachclinto@gmail.com". If stuck with deadline assignments and exams or even classes, hit my inbox, always there to help at reasonable prices.Thank You😊
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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"
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Is the integral of 1/p dp not lap + C. Why did you leave out the constant
Thanks :)
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?
not really
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?
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can this this formula be used for micro organisms like micro-algae?
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would this apply if its about germination in plants?
length of plants where t represents the day a seed started to sprout?
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Thanx
It's helpful to distinguish your second constant from the first. e^c=/=c, but it could equal c subscript 1
They’re all constants. Doesn’t matter
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how did you compute for 0.05 where did you get that numbers
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How do you integrate?
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.
why cannot we use the exponential growth formula? y=S(1+R)^t?
What happens to the dp when integrated? Doesn’t it become P?
No, It becomes ln P cause DP/P is (1/P)DP
Where did the e come from in the first problem?
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1:49
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Why you put 0 and 1 instead of 2000 and 2001 ?? At 6:30
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if in 2000 ,t=0. is "t" not supposed to be =9 in 2010? i love your tutorials anyway!!! NAMIBIA
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