
Worksheet 38 (7
... (radicand) in the quadratic formula: b2 - 4ac. The discriminant indicates the kind of roots a quadratic equation will have. It allows for looking ahead to tell the type of solution that can be expected. Nature of roots for ax2 + bx + c = 0: 1. If b2 - 4ac < 0, then the equation has two nonreal compl ...
... (radicand) in the quadratic formula: b2 - 4ac. The discriminant indicates the kind of roots a quadratic equation will have. It allows for looking ahead to tell the type of solution that can be expected. Nature of roots for ax2 + bx + c = 0: 1. If b2 - 4ac < 0, then the equation has two nonreal compl ...
“Before Calculus”: Exponential and Logarithmic Functions
... In Example 5, the properties of logarithms were used to expand logarithmic expressions. In Example 6, this procedure is reversed and the properties of logarithms are used to condense logarithmic expressions. ...
... In Example 5, the properties of logarithms were used to expand logarithmic expressions. In Example 6, this procedure is reversed and the properties of logarithms are used to condense logarithmic expressions. ...
Calc Sec 1_1 - Miami Killian Senior High School
... Slope and Parallel Lines • If two nonvertical lines are parallel, then they have the same slope. • If two distinct nonvertical lines have the same slope, then they are parallel. • Two distinct vertical lines, both with undefined slopes, are parallel. ...
... Slope and Parallel Lines • If two nonvertical lines are parallel, then they have the same slope. • If two distinct nonvertical lines have the same slope, then they are parallel. • Two distinct vertical lines, both with undefined slopes, are parallel. ...
Equations - Translating, Writing, & Solving
... Six Steps to Solving Application Problems Six Steps to Solving Application Problems Step 1 Read the problem, several times if necessary, until you understand what is given and what is to be found. Step 2 If possible draw a picture or diagram to help visualize the problem. Step 3 Assign a variable to ...
... Six Steps to Solving Application Problems Six Steps to Solving Application Problems Step 1 Read the problem, several times if necessary, until you understand what is given and what is to be found. Step 2 If possible draw a picture or diagram to help visualize the problem. Step 3 Assign a variable to ...
MATH 60, MOD 3 - Linn-Benton Community College
... each step. Keep the = signs lined up and work in a neat and orderly fashion. This is your mathematical communication. As you solve your equation, you are writing a "math paragraph". Use correct notation and punctuation! Example 1: For each, describe the operation that has been done to the variable, ...
... each step. Keep the = signs lined up and work in a neat and orderly fashion. This is your mathematical communication. As you solve your equation, you are writing a "math paragraph". Use correct notation and punctuation! Example 1: For each, describe the operation that has been done to the variable, ...
State, ACT, and Common Core Standards Alignment
... A-SSE.2. Use the equations formulas and solve literal structure of an expression to ■ Write identify ways to rewrite it. For equations. expressions, example, see x4 – y4 as (x2)2 CLE 3102.3.6 Understand and use – (y2)2, thus recognizing it as equations, or relations and functions in various a differ ...
... A-SSE.2. Use the equations formulas and solve literal structure of an expression to ■ Write identify ways to rewrite it. For equations. expressions, example, see x4 – y4 as (x2)2 CLE 3102.3.6 Understand and use – (y2)2, thus recognizing it as equations, or relations and functions in various a differ ...
Document
... Algebraic Expressions Standards Extension of AF4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results. ...
... Algebraic Expressions Standards Extension of AF4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results. ...
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.