logarithmic form 33 videos
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Common and Natural Logarithms
Precalculus Exponential and Logarithmic Functions
How to define natural and common logs.
common log natural log -
Other Forms of the Cosine Double-Angle Formula
Precalculus Advanced Trigonometry
How to derive two more cosine double-angle formulas.
the Pythagorean identity the cosine double angle formulas -
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 -
Converting from Polar Coordinates to Rectangular
Precalculus Polar Coordinates and Complex Numbers
How to convert a polar equation into rectangular form.
polar coordinates rectangular coordinates polar equations lines circles Pythagorean theorem sine cosine tangent -
Exponential Growth and Decay
Precalculus Exponential and Logarithmic Functions
How to find the doubling time of a population when the growth rate is given.
exponential growth exponential functions doubling time logarithmic functions the natural logarithm round off error -
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 -
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 -
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
