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Ex 4: Evaluate an Expression using Order of Operations: a^2-bcd (integers)

Ex 4: Evaluate an Expression using Order of Operations: a^2-bcd (integers)

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Ex: Limited Growth Differential Equation

Ex: Limited Growth Differential Equation

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Ex: Write a Differential Equation to Model the Change in a Bank Account

Ex: Write a Differential Equation to Model the Change in a Bank Account

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Find Two Solutions to a First Order Initial Value Problem - YouTube

Find Two Solutions to a First Order Initial Value Problem - YouTube

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Ex: Solve an IVP with a Separable Differential Equation in the form (y^6x)dy/dx=1+x

Ex: Solve an IVP with a Separable Differential Equation in the form (y^6x)dy/dx=1+x

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Ex: Solve an IVP with a Separable Differential Equation in the form dy/dt=t/(t^2y+y)

Ex: Solve an IVP with a Separable Differential Equation in the form dy/dt=t/(t^2y+y)

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Ex: Solve an IVP with a Separable Differential Equation in the form y'=axy-bx

Ex: Solve an IVP with a Separable Differential Equation in the form y'=axy-bx

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Ex: Solve an IVP Using Separation of Variables in the Form y'=axy+bx

Ex: Solve an IVP Using Separation of Variables in the Form y'=axy+bx

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Ex: Solve an IVP Using Separation of Variables in the Form y'=(ax+b)/(xy^2)

Ex: Solve an IVP Using Separation of Variables in the Form y'=(ax+b)/(xy^2)

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Ex: Initial Value Problem Using Separation of Variables in the Form y' = e^(ay+bx)

Ex: Initial Value Problem Using Separation of Variables in the Form y' = e^(ay+bx)

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Ex: Initial Value Problem in the Form y' = kx Using Shortcut

Ex: Initial Value Problem in the Form y' = kx Using Shortcut

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Ex 2: Initial Value Problem Using Separation of Variables in the Form y'=ay+b

Ex 2: Initial Value Problem Using Separation of Variables in the Form y'=ay+b

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Ex 1: Initial Value Problem Using Separation of Variables in the form y' = ky

Ex 1: Initial Value Problem Using Separation of Variables in the form y' = ky

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Ex 2: IVP - Separation of Variables

Ex 2: IVP - Separation of Variables

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Ex 1: IVP - Separation of Variables

Ex 1: IVP - Separation of Variables

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Ex 3: Separation of Variables

Ex 3: Separation of Variables

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Ex 2: Separation of Variables

Ex 2: Separation of Variables

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Ex 1: Separation of Variables

Ex 1: Separation of Variables

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Ex 2: Initial Value Problem Using Separation of Variables Involving Natural Logarithm

Ex 2: Initial Value Problem Using Separation of Variables Involving Natural Logarithm

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Ex 1: Initial Value Problem Using Separation of Variables Involving Natural Logarithm

Ex 1: Initial Value Problem Using Separation of Variables Involving Natural Logarithm

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Ex 2: Initial Value Problem Using Separation of Variables (Square Root)

Ex 2: Initial Value Problem Using Separation of Variables (Square Root)

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Ex 1: Initial Value Problem Using Separation of Variables (Square Root)

Ex 1: Initial Value Problem Using Separation of Variables (Square Root)

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Differential Equations: Separation of Variables

Differential Equations: Separation of Variables

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Standard and Differential Form of First-Order Differential Equations

Standard and Differential Form of First-Order Differential Equations

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Ex: Find the Particular Solution to a Basic Differential Equation

Ex: Find the Particular Solution to a Basic Differential Equation

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Solving a differential equation by separation of variables

Solving a differential equation by separation of variables

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Introduction to Differential Equations

Introduction to Differential Equations

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Find Two Solutions to a First Order Initial Value Problem - YouTube

Find Two Solutions to a First Order Initial Value Problem - YouTube

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Find the Region a First Order Differential Equation Has a Unique Solution Through a Point - Part 2 - YouTube

Find the Region a First Order Differential Equation Has a Unique Solution Through a Point - Part 2 - YouTube

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Find the Region a First Order Differential Equation Has a Unique Solution at a Point - Part 1 - YouTube

Find the Region a First Order Differential Equation Has a Unique Solution at a Point - Part 1 - YouTube

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Find the Interval That a Linear First Order Differential Equation Has a Unique Solution - YouTube

Find the Interval That a Linear First Order Differential Equation Has a Unique Solution - YouTube

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Differential Equations and Exponential Functions

Differential Equations and Exponential Functions

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Introduction to Differential Equations

Introduction to Differential Equations

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Intro to Boundary Value Problems

Intro to Boundary Value Problems

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Ex: Solve a Basic Initial Value Problem (Exponential and Trig)

Ex: Solve a Basic Initial Value Problem (Exponential and Trig)

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Ex: Solve a Basic Initial Value Problem (Linear)

Ex: Solve a Basic Initial Value Problem (Linear)

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Intro to Initial Value Problems

Intro to Initial Value Problems

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Ex: Select a Direction Field Given a Differential Equation Using Points

Ex: Select a Direction Field Given a Differential Equation Using Points

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Ex: Determine Direction Field Given a Solution to a Differential Equation

Ex: Determine Direction Field Given a Solution to a Differential Equation

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Ex: Determine Which Differential Equation Would Produce a Given Direction Field

Ex: Determine Which Differential Equation Would Produce a Given Direction Field

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Slope Fields

Slope Fields

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Ex: Determine Which Functions Are Solutions to a Differential Equation

Ex: Determine Which Functions Are Solutions to a Differential Equation

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Ex: Find a Constant Function Solution to a Differential Equation

Ex: Find a Constant Function Solution to a Differential Equation

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Ex: Verify a Solution to a Differential Equation and Find a Particular Solution

Ex: Verify a Solution to a Differential Equation and Find a Particular Solution

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Ex: Determine Which Function is a Solution to a Second Order Differential Equation

Ex: Determine Which Function is a Solution to a Second Order Differential Equation

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Ex: Determine Which Functions Are Solutions to a Differential Equation

Ex: Determine Which Functions Are Solutions to a Differential Equation

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Verifying Solutions to Differential Equations

Verifying Solutions to Differential Equations

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Ex 2: Verify a Solution to a Differential Equation, Find a Particular Solution

Ex 2: Verify a Solution to a Differential Equation, Find a Particular Solution

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Ex 1: Verify a Solution to a Differential Equation, Find a Particular Solution

Ex 1: Verify a Solution to a Differential Equation, Find a Particular Solution

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Ex: Given a Solution to a Differential Equation, Find the Particular Solution

Ex: Given a Solution to a Differential Equation, Find the Particular Solution

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Differential Equations: Find the Order and Classify as Linear or Nonlinear

Differential Equations: Find the Order and Classify as Linear or Nonlinear

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Introduction to Differential Equation Terminology

Introduction to Differential Equation Terminology

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Ex: Find the Parametric Equations of a Line Perpendicular to a Plane Through a Point

Ex: Find the Parametric Equations of a Line Perpendicular to a Plane Through a Point

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Ex 2: Find the Parametric Equations of the Line of Intersection of Two Planes Using Vectors

Ex 2: Find the Parametric Equations of the Line of Intersection of Two Planes Using Vectors

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Ex 1: Find the Parametric Equations of the Line of Intersection of Two Planes Using Vectors

Ex 1: Find the Parametric Equations of the Line of Intersection of Two Planes Using Vectors

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Ex: Find the Equation of a Plane Given a Point in the Plane and a Parallel Plane

Ex: Find the Equation of a Plane Given a Point in the Plane and a Parallel Plane

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Ex: Find the Equation of Plane Containing a Line and Orthogonal to a Given Plane

Ex: Find the Equation of Plane Containing a Line and Orthogonal to a Given Plane

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Ex: Find the Equation of a Plane Given an Orthogonal Line (Parametric) and a Point

Ex: Find the Equation of a Plane Given an Orthogonal Line (Parametric) and a Point

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Ex: Find the Equation of a Plane Given Three Points in the Plane Using Vectors

Ex: Find the Equation of a Plane Given Three Points in the Plane Using Vectors

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Ex: Find the Equation of the Plane Containing a Given Line and a Point Using Vectors

Ex: Find the Equation of the Plane Containing a Given Line and a Point Using Vectors

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Ex: Find the Distance Between Two Parallel Planes

Ex: Find the Distance Between Two Parallel Planes

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Determining the Distance Between a Line and a Point

Determining the Distance Between a Line and a Point

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Determining the Distance Between a Plane and a Point

Determining the Distance Between a Plane and a Point

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Determining the Angle Between Two Planes

Determining the Angle Between Two Planes

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Graphing a Plane in 3D

Graphing a Plane in 3D

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The Equation of a Plane in 3D Using Vectors

The Equation of a Plane in 3D Using Vectors

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Parametric Equations of Lines in 3D

Parametric Equations of Lines in 3D

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The Triple Scalar Product: Volume of a Parallelepiped

The Triple Scalar Product: Volume of a Parallelepiped

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An Application of Cross Products: Torque

An Application of Cross Products: Torque

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Ex: Find the Distance Between Two Points In Space

Ex: Find the Distance Between Two Points In Space

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Ex: Find the Area of a Triangle Using Vectors - 3D

Ex: Find the Area of a Triangle Using Vectors - 3D

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Ex 2: Properties of Cross Products - Cross Product of a Sum and Difference

Ex 2: Properties of Cross Products - Cross Product of a Sum and Difference

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Ex 1: Properties of Cross Products - Cross Product of a Sum and Difference

Ex 1: Properties of Cross Products - Cross Product of a Sum and Difference

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Ex: Find the Cross Product of Two Vectors

Ex: Find the Cross Product of Two Vectors

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Vector Cross Products

Vector Cross Products

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Ex: Find the Difference of Scalar Multiples of Two Vectors in 3D (Linear Combination Form)

Ex: Find the Difference of Scalar Multiples of Two Vectors in 3D (Linear Combination Form)

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Ex: Find the Sum of Scalar Multiples of Two Vectors in 3D (Component Form)

Ex: Find the Sum of Scalar Multiples of Two Vectors in 3D (Component Form)

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Ex: Find the Magnitude of a Vector in 3D

Ex: Find the Magnitude of a Vector in 3D

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Ex: Find a Unit Vector in the Direction of a Given Vector in 3D

Ex: Find a Unit Vector in the Direction of a Given Vector in 3D

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Ex: Find the Component Form of a Vector in Space Given the Initial and Terminal Point

Ex: Find the Component Form of a Vector in Space Given the Initial and Terminal Point

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Ex: Vector Projection in Three Dimensions

Ex: Vector Projection in Three Dimensions

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Ex: Find the Angle Between Two Vectors in Three Dimensions

Ex: Find the Angle Between Two Vectors in Three Dimensions

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Ex: Find the Component of a Vector so Two Vectors are Orthogonal (3D)

Ex: Find the Component of a Vector so Two Vectors are Orthogonal (3D)

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Ex: Dot Product of Vectors - 3D

Ex: Dot Product of Vectors - 3D

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Parallel Vectors

Parallel Vectors

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Vectors in Space

Vectors in Space

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Ex: Find the Difference of Scalar Multiples of Two Vectors in 3D (Linear Combination Form)

Ex: Find the Difference of Scalar Multiples of Two Vectors in 3D (Linear Combination Form)

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The Equation of a Sphere

The Equation of a Sphere

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Plotting Points in 3D

Plotting Points in 3D

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Vector Applications: Force and Work

Vector Applications: Force and Work

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Ex: Find the Angle of Intersection of Two Curves Using Vectors

Ex: Find the Angle of Intersection of Two Curves Using Vectors

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Ex: Vector Projection in Two Dimensions

Ex: Vector Projection in Two Dimensions

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Proof of the Vector Projection Formula

Proof of the Vector Projection Formula

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Vector Projection

Vector Projection

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Proof of the formula for the Angle Between Two Vectors

Proof of the formula for the Angle Between Two Vectors

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Determining the Angle Between Two Vectors

Determining the Angle Between Two Vectors

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>Applications of Vectors

>Applications of Vectors

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Ex: Find the Trace and Determinant of a 3x3 Matrix Using Eigenvalues

Ex: Find the Trace and Determinant of a 3x3 Matrix Using Eigenvalues

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Ex 2: Find the Eigenvalues and Corresponding Unit Eigenvectors of a 3x3 Matrix

Ex 2: Find the Eigenvalues and Corresponding Unit Eigenvectors of a 3x3 Matrix

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Ex 1: Find the Eigenvalues and Corresponding Eigenvectors of a 3x3 Matrix

Ex 1: Find the Eigenvalues and Corresponding Eigenvectors of a 3x3 Matrix

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