'Dy dt' diaporamas de présentation

PARAMETRIC EQUATIONS AND POLAR COORDINATES

10. PARAMETRIC EQUATIONS AND POLAR COORDINATES. PARAMETRIC EQUATIONS & POLAR COORDINATES. We have seen how to represent curves by parametric equations . Now, we apply the methods of calculus to these parametric curves. PARAMETRIC EQUATIONS & POLAR COORDINATES. 10.2

863 views • 71 slides

????? ????

?t. 1. ln(t+?t)-lnt. 1. t+?t. dy. 1. ?y. d. ?t. dt. t. ?t. t. t. ?t. ?t. dt. ????? ????. ????? ????? ???. ????? ???? ?????? y=lnt ? ???? ??? ?? . = lnt= - ??? ???? ?? , ?? t ? ?? ?t ? ???? y ? ??? ?y ? ?? , ????? ??

1.55k views • 47 slides

Lotka-Volterra, Predator-Prey Model

Lotka-Volterra, Predator-Prey Model. J. Brecker April 01, 2013. Alfred Lotka & Vito Volterra. Lotka (1880-1949). Volterra (1860-1940). Predator-Prey Model Assumptions. The Lotka-Volterra predator-prey model makes a few important assumptions about the

1.55k views • 42 slides

DERIVATIVES

3. DERIVATIVES. DERIVATIVES. If we are pumping air into a balloon, both the volume and the radius of the balloon are increasing and their rates of increase are related to each other.

472 views • 38 slides

DIFFERENTIATION RULES

3. DIFFERENTIATION RULES. DIFFERENTIATION RULES. If we are pumping air into a balloon, both the volume and the radius of the balloon are increasing and their rates of increase are related to each other.

543 views • 38 slides

2.8 Related Rates

2.8 Related Rates. Formulas You May Need To Know. Related rate problems are differentiated with respect to time. So, every variable, except t is differentiated implicitly. Ex. Two rates that are related. Given y = x 2 + 3, find dy/dt when x = 1, given that dx/dt = 2. y = x 2 + 3.

552 views • 35 slides

Animation CS 551 / 651

Baraff, 1991. Animation CS 551 / 651. Lecture 6 Rigid-body Simulation. Assignment 1 Rigid-body Simulator. Goal: To demonstrate understanding of rigid-body dynamics by writing a simulator 3ds file loader (given) Compute COM and MOI (given) User-selected force vector (how?)

553 views • 35 slides

PERSAMAAN DIFERENSIAL (DIFFERENTIAL EQUATION)

PERSAMAAN DIFERENSIAL (DIFFERENTIAL EQUATION). metode euler metode runge-kutta. Persamaan Diferensial. Persamaan paling penting dalam bidang rekayasa, paling bisa menjelaskan apa yang terjadi dalam sistem fisik. Menghitung jarak terhadap waktu dengan kecepatan tertentu, 50 misalnya.

1.03k views • 33 slides

PERSAMAAN DIFERENSIAL (DIFFERENTIAL EQUATION)

PERSAMAAN DIFERENSIAL (DIFFERENTIAL EQUATION). metode euler metode runge-kutta. Persamaan Diferensial. Persamaan paling penting dalam bidang rekayasa, paling bisa menjelaskan apa yang terjadi dalam sistem fisik. Menghitung jarak terhadap waktu dengan kecepatan tertentu, 50 misalnya.

720 views • 33 slides

Evolution of Parasites and Diseases

Evolution of Parasites and Diseases. The Red Queen to Alice: It takes all the running you can do to stay in the same place. Dynamical Models for Parasites and Diseases. SIR Models (Microparasites) SI Models (HIV). Figure 12.28. Alternative Models for Parasites and Diseases.

807 views • 20 slides

Example Project and Numerical Integration

Example Project and Numerical Integration. Computational Neuroscience 03 Lecture 11. Example Project: Investigation into Integrate and fire models. Build a model integrate and fire neuron using. Augmented by the rule that if V reaches V th an AP is fired after which V is reset to V reset

390 views • 19 slides

Differences Between Linear and Nonlinear Equations

Differences Between Linear and Nonlinear Equations. Linear Differential Equations. Linear Differential Equations. Example: dy/dt = sin(t) y + t. Example: dy/dt = y/(1-t). Theorem. Example. Nonlinear Differential Equation. Example: Non-Unique Solutions. Example: dy/dy=y^(1/3).

1.26k views • 19 slides

Eng. 6002 Ship Structures 1 Hull Girder Response Analysis

Eng. 6002 Ship Structures 1 Hull Girder Response Analysis. Introduction to Maple. Overview. PURPOSE: To illustrate the use of dsolve to find exact solutions of many differential equations or systems of equations, with or without initial conditions.

326 views • 16 slides

Warm Up

274 views • 13 slides

What is a Differential Equation?

385 views • 12 slides

Glimpses of Chaos

Bharath Raj G N. Glimpses of Chaos. Why Chaos?. Chaos theory provides an astounding array of tools to make short-term predictions, to get a flavor of the long-term trends in the data set, to estimate which of the variables are driving the

299 views • 11 slides

Warm-up

196 views • 6 slides

3.3 Implicit Differentiation and Related Rates

3.3 Implicit Differentiation and Related Rates. Finding dy/dx by Implicit Differentiation Differentiate each term of the equation with respect to x, treating y as a function of x. Move all terms involving dy/dx to the left side of the equation and move the other terms to the right side.

272 views • 6 slides

272 views • 5 slides

The Notation of Calculus

The Notation of Calculus. Bill McKeeman Dartmouth April 18, 2008. The Calculus Wars. The slope of a line and the area under a curve turned out to be a critical concepts for the development of classical physics. y = f(t). y. tangent. t. a. b. b. y. ? f(x)dx. dy/dt. a.

210 views • 4 slides