Course objectives - FIU Mathematical
... Determine the multiplicity of each zero of a polynomial Determine the end behavior of a polynomial function Graph a polynomial function Determine the domain of a rational function Find vertical, horizontal/oblique asymptotes of a rational function. Graph a rational function using transformations Ske ...
... Determine the multiplicity of each zero of a polynomial Determine the end behavior of a polynomial function Graph a polynomial function Determine the domain of a rational function Find vertical, horizontal/oblique asymptotes of a rational function. Graph a rational function using transformations Ske ...
Some ideas from thermodynamics
... The branch of physics called thermodynamics deals with the laws governing the behavior of physical systems at finite temperature. These laws are phenomenological, in the sense that they represent empirical relations between various observed quantities. These quantities include pressure, temperature, ...
... The branch of physics called thermodynamics deals with the laws governing the behavior of physical systems at finite temperature. These laws are phenomenological, in the sense that they represent empirical relations between various observed quantities. These quantities include pressure, temperature, ...
dx cx dx and x - Cameron University
... 4.3 Given a multiple variable expression, determine the partial derivatives with respect to the variables 4.4 Determine the total differential of a function given sufficient information 5.1 State and apply the van der Waals equation of state 5.2 State the differences at the molecular level between a ...
... 4.3 Given a multiple variable expression, determine the partial derivatives with respect to the variables 4.4 Determine the total differential of a function given sufficient information 5.1 State and apply the van der Waals equation of state 5.2 State the differences at the molecular level between a ...
Lecture 10 - Second order linear differential equations
... y 00 − y = 0 y 00 = y We are looking for a function y that is equal to its second derivative! First guess: y(t) = et . Is y a solution? 1. Does y satisfy the differential equation? Yes! y 0 (t) = et y 00 (t) = et y 00 = y 2. Does y satisfy the initial conditions? No! y(0) = 1 Improved first guess: y ...
... y 00 − y = 0 y 00 = y We are looking for a function y that is equal to its second derivative! First guess: y(t) = et . Is y a solution? 1. Does y satisfy the differential equation? Yes! y 0 (t) = et y 00 (t) = et y 00 = y 2. Does y satisfy the initial conditions? No! y(0) = 1 Improved first guess: y ...
2.4 - UConn Math
... Substituting y = k2 e−3t into the equation for d x/dt, we have dx = 2x − 8(k2 e−3t )2 dt = 2x − 8k22 e−6t This equation is a linear and nonhomogeneous. The general solution of the associated homogeneous equation is x h (t) = k1 e2t . To find one particular solution of the nonhomogeneous equation, we ...
... Substituting y = k2 e−3t into the equation for d x/dt, we have dx = 2x − 8(k2 e−3t )2 dt = 2x − 8k22 e−6t This equation is a linear and nonhomogeneous. The general solution of the associated homogeneous equation is x h (t) = k1 e2t . To find one particular solution of the nonhomogeneous equation, we ...
