Here is a practical example to explain the spread of disease…. the zombie apocalypse growth as defined mathematically…
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NEWTONS LAW OF COOLING
Newton’s law of cooling simply states that the temperature of a hot (or cold) object progresses toward the temperature of its environment in a simple exponential fashion. Objects follow this law strictly only if the rate of heat conduction within them is much larger than the heat flow into or out of them. In...
Finding zeros
Lets start of simple… lets review finding zeros with the quadratic formula.
WOLFRAM ALPHA CAN HELP YOU WITH YOUR MATH PROBLEM…
Wolfram Alpha (also written WolframAlpha and Wolfram|Alpha) is an answer-engine developed by Wolfram Research. It is an online service that answers factual queries directly by computing the answer from structured data, rather than providing a list of documents or web pages that might contain the answer as a search engine might
RADIO ACTIVE DECAY
Radioactive decay is the process by which an atomic nucleus of an unstable atom loses energy by emitting ionizing particles (ionizing radiation). The emission is spontaneous, in that the atom decays without any physical interaction with another particle from outside the atom. Usually, radioactive decay happens due to a process confined to the nucleus...
BASE 10 LOG TABLE
1.000 0.00000000 2.00 0.3010300 3.00 0.4771213 4.00 0.6020600 5.00 0.6989700 6.00 0.7781513 7.00 0.8450980 8.00 0.9030900 9.00 0.9542425 1.001 0.00043408 2.01 0.3031961 3.01 0.4785665 4.01 0.6031444 5.01 0.6998377 6.01 0.7788745 7.01 0.8457180 8.01 0.9036325 9.01 0.9547248 1.002 0.00086772 2.02 0.3053514 3.02 0.4800069 4.02 0.6042261 5.02 0.7007037 6.02 0.7795965 7.02 0.8463371 8.02 0.9041744 9.02 0.9552065...
POPULATION DYNAMICS
Population dynamics is the branch of life sciences that studies short-term and long-term changes in the size and age composition of populations, and the biological and environmental processes influencing those changes. Population dynamics deals with the way populations are affected by birth and death rates, and by immigration and emigration, and studies topics such...
IMPLICIT AND EXPLICIT SOLUTION
Explicit solution is a solution where the dependent variable can be separated. For example, x+3y=0 is explicit because if y is dependent, I can rewrite it as y=-x/3 and my y has been separated. Implicit is when the dependent variable cannot be separated like sin(x+e^y)=5y. Now this begs the question… what is a dependent...
THE VIDEO MATH TUTOR
Watch live streaming video from video_math_tutor at livestream.com The Video Math Tutor provides students from 7th grade through college with free and premium ($$$) math videos and printable notes of his own creation. He has over 26 years of tutoring experience. Topics covered include arithmetic and algebra. TI-84 graphing calculator keystroke guides are heavily...
INITIAL CONDITION AND INITIAL VALUE
In mathematics, in the field of differential equations, an initial value problem is an ordinary differential equation together with a specified value, called the initial condition, of the unknown function at a given point in the domain of the solution.
SEPARATION OF VARIABLES DIFFERENTIAL EQUATIONS
In mathematics, separation of variables is any of several methods for solving ordinary and partial differential equations, in which algebra allows one to rewrite an equation so that each of two variables occurs on a different side of the equation.
COMPLETE COURSE IN DIFFERENTIAL EQUATIONS
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders. Differential equations play a prominent role in engineering, physics, economics, and other disciplines. Differential equations arise in many areas of science and technology, specifically...
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FIRST ORDER DIFFERENTIAL EQUATION NONHOMOGENOUS
To obtain the solution to the nonhomogeneous equation (sometimes called inhomogeneous equation), find a particular integral yP(x) by either the method of undetermined coefficients or the method of variation of parameters; the general solution to the linear differential equation is the sum of the general solution of the related homogeneous equation and the particular...
HOMOGENOUS FIRST ORDER DIFFERENTIAL EQUATIONS
The case where ƒ = 0 is called a homogeneous equation and its solutions are called complementary functions.