Solving Exponential and Logarithmic Equations
... form y = abx. When solving, we might be looking for the x-value, the b value or the y-value. First, we’ll review algebraic methods. When solving for b, isolate the b value; then raise both sides of the equation to the reciprocal power of the exponent. ...
... form y = abx. When solving, we might be looking for the x-value, the b value or the y-value. First, we’ll review algebraic methods. When solving for b, isolate the b value; then raise both sides of the equation to the reciprocal power of the exponent. ...
Example
... • The x and y values are called the coordinates of the point. • The coordinates for the origin are (0, 0). • The x-coordinate tells how many units the point is to the left or right of the origin. • If x is positive, the point is to the right of (0, 0). • If x is negative, the point is to the left of ...
... • The x and y values are called the coordinates of the point. • The coordinates for the origin are (0, 0). • The x-coordinate tells how many units the point is to the left or right of the origin. • If x is positive, the point is to the right of (0, 0). • If x is negative, the point is to the left of ...
Regressions Packet
... When we analyze the data from the scatterplot, we try to find an equation that can represent all of the data. Sometimes a line could be drawn to represent the points, other times a parabola could be drawn to represent the points, etc. We call the equations to the lines, parabolas, etc. regression eq ...
... When we analyze the data from the scatterplot, we try to find an equation that can represent all of the data. Sometimes a line could be drawn to represent the points, other times a parabola could be drawn to represent the points, etc. We call the equations to the lines, parabolas, etc. regression eq ...
Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.) PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model.PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalised similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalisation in stochastic partial differential equations.