standard form of a line 38 videos
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Introduction to Logarithms
Precalculus Exponential and Logarithmic Functions
How to use inverses to define the logarithmic function.
logarithms inverse base exponent logarithmic form exponential form -
Solving a Logarithmic Equation with Multiple Logs
Precalculus Exponential and Logarithmic Functions
How to solve a logarithmic equation by condensing one, or both, sides.
log equation logarithmic equation logarithmic form exponential form condense -
Algebraic Representation of Vectors
Precalculus Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude.
position vector vector components horizontal component vertical component component form magnitude length -
Finding the Vertex of a Parabola by Completing the Square
Precalculus Equations of Lines, Parabolas and Circles
How to find the vertex of a parabola.
vertex form completing the square parabola -
DeMoivre's Theorem
Precalculus Polar Coordinates and Complex Numbers
How to raise a complex number to an integer power using DeMoivre's Theorem.
complex numbers trigonometric form modulus argument -
Evaluating Sine and Cosine at Special Acute Angles
Precalculus Trigonometric Functions
How do we measure sine and cosine of pi/4?
sine cosine unit circle definitions of sine and cosine angles in standard position -
The Dot Product of Vectors
Precalculus Vectors and Parametric Equations
How to compute the dot product of two vectors.
vector components component form dot product scalar product -
Finding the Roots of a Complex Number
Precalculus Polar Coordinates and Complex Numbers
How to use DeMoivre's Theorem to compute the cube roots of a complex number.
complex numbers trigonometric form complex roots cube roots modulus argument -
More Roots of Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to find the roots of a complex number quickly using four simple guidelines.
complex numbers trigonometric form complex roots modulus argument -
Computing Difference Quotients
Precalculus Equations of Lines, Parabolas and Circles
How to compute and simplify the difference quotient of a linear function.
functions function notation slope secant line difference quotient -
The Complex Plane
Precalculus Polar Coordinates and Complex Numbers
How to plot complex numbers on the complex plane.
real numbers the number line complex numbers imaginary numbers the complex plane -
Computing Difference Quotients
Precalculus Introduction to Functions
How to compute and simplify the difference quotient of a linear function.
functions function notation slope secant line difference quotient -
The Definitions of Sine and Cosine
Precalculus Trigonometric Functions
How we define sine and cosine for all angle measures using the unit circle.
sine cosine right triangle definitions of sine and cosine angles in standard position unit circle definitions of sine and cosine -
Evaluating Sine and Cosine at Other Special Angles
Precalculus Trigonometric Functions
How to measure the sine and cosine of 150.
sine cosine unit circle definitions of sine and cosine angles in standard position reference angles -
Addition and Scalar Multiplication of Vectors
Precalculus Vectors and Parametric Equations
How to compute the sum of two vectors or the product of a scalar and a vector.
vector components horizontal component vertical component component form vector addition the zero vector scalar multiplication -
Unit Vectors
Precalculus Vectors and Parametric Equations
How to express a vector algebraically in terms of the unit vectors i and j.
unit vectors length magnitude the unit vectors i and j vector addition scalar multiplication component form -
The Geometric Representation of Vectors
Precalculus Vectors and Parametric Equations
How to understand what vectors are, and how they can be represented geometrically.
Magnitude Direction Scalar Vector Directed Line Segment Initial Point Terminal Point
