Christopher Stanley

Numerade Educator

Biography

My name is Trevor Stanley and I teach Algebra 1, Algebra 2 and AP Calculus at a small high school in Southern Illinois. I have always had a passion for learning and teaching mathematics and I am always happy for the opportunity to share that passion with others.

Education

Christopher has not yet added their education credentials.

Topics Covered

Derivatives

Differentiation

Applications of the Derivative

Functions

Rational Functions

Functions

Polynomials

Exponential and Logarithmic Functions

Introduction to Algebra

Equations and Inequalities

Quadratic Equations

An Introduction to Geometry

Graph Linear Functions

Ratio, Proportion, and Measurement

Graphs and Statistics

Introduction to Conic Sections

Systems of Equations and Inequalities

Surface Area

Volume

Circles

Exponents and Polynomials

The Language of Algebra

Decimals

Complex Numbers

Introduction to Conic Section

Linear Functions

Quadratic Functions

Matrices

Introduction to Matrices

Parametric Equations

Polar Coordinates

Whole which of Numbers

The Integers

Logic

Trigonometry

Vectors

Solve Linear Inequalities

Linear Equations and Functions

Linear Equations and Inequalities

Matrices and Determinants

Limits

Integrals

Multiple Integrals

Applications of Trigonometric Functions

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

Algebra Topics That are Reviewed at the Start of the Semester

Geometry Basics

Geometric Proof

Similarity

Area and Perimeter

Angles

Parallel and Perpendicular lines

Congruent Triangles

Probability Topics

The Chi-Square Distribution

Discrete Random Variables

Continuous Random Variables

Introduction to Vectors

Introduction to Trigonometry

Real numbers

Radicals and Rational Exponents

Right Triangles

Descriptive Statistics

Discrete Probability Distributions

Introduction to Sequences and Series

Distribution and One-Way ANOVA

The Normal Distribution

The Normal Distribution

Sampling and Data

Relationships Within Triangles

Integration

Integration Techniques

Series

Organic Chemistry

Introduction to Combinatorics and Probability

Motion Along a Straight Line

Newton's Laws of Motion

Applying Newton's Laws

Hypothesis Testing with Two Samples

Computer Science Overview

Differential Equations

Confidence Intervals

Hypothesis Testing with One Sample

Probability and Counting Rules

Christopher's Textbook Answer Videos

Calculus: Early Transcendentals

Match the polar equations with the graphs labeled I-VI. Give reasons for your choices. (Don't use a graphing device.)
(a) $ r = \ln \theta $, $ \; 1 \leqslant \theta \leqslant 6\pi \qquad $ (b) $ r = \theta^2 $, $ \; 0 \leqslant \theta \leqslant 8\pi $
(c) $ r = \cos 3\theta \qquad $ (d) $ r = 2 + \cos 3\theta $
(e) $ r = \cos(\theta/2) \qquad $ (f) $ r = 2 + \cos(3\theta/2) $

Chapter 10: Parametric Equations and Polar Coordinates

Section 3: Polar Coordinates

Thomas Calculus

In Exercises $1-4,$ show that each function $y=f(x)$ is a solution of the accompanying differential equation.
$$y=\frac{1}{x} \int_{1}^{x} \frac{e^{t}}{t} d t, \quad x^{2} y^{\prime}+x y=e^{x}$$

Chapter 7: Transcendental Functions

Section 4: Exponential Change and Separable Differential Equations

Essentials of Modern Business Statistics

According to Salary Wizard, the average base salary for a brand manager in Houston, Texas,
is $\$ 88.592$ and the average base salary for a brand manager in Los Angeles, California, is $\$ 97,417$ (Salary Wizard website, February $27,2008 ) .$ Assume that salaries are normally distributed, the standard deviation for brand managers in Houston is $\$ 19,900,$ and the standard
deviation for brand managers in Los Angeles is $\$ 21,800 .$
a. What is the probability that a brand manager in Houston has a base salary in excess of
$\$ 100,000 ?$
b. What is the probability that a brand manager in Los Angeles has a base salary in excess
of $\$ 100,000 ?$
c. What is the probability that a brand manager in Los Angeles has a base salary of less
than $\$ 75,000 ?$
d. How much would a brand manager in Los Angeles have to make in order to have a
higher salary than 99$\%$ of the brand managers in Houston?

Chapter 6: Continuous Probability Distributions

Calculus Early Transcendentals

$5-20$ Find dy/dx by implicit differentiation.
$$x^{3}+y^{3}=1$$

Chapter 3: Differentiation Rules

Section 5: Implicit Differentiation

Calculus Early Transcendentals

$5-20$ Find dy/dx by implicit differentiation.
$$2 \sqrt{x}+\sqrt{y}=3$$

Chapter 3: Differentiation Rules

Section 5: Implicit Differentiation

Calculus Early Transcendentals

$5-20$ Find dy/dx by implicit differentiation.
$$x^{2}+x y-y^{2}=4$$

Chapter 3: Differentiation Rules

Section 5: Implicit Differentiation

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