John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 7, 2023
Calculus

Evaluating the Limit as x Approaches 0 of (1 – cosx)/x using Trigonometric Identity and Algebraic Manipulations

limit as x approaches 0: 1-cosx/x To find the limit as x approaches 0 of the expression (1 – cosx)/x, we can use a trigonometric identity and...

John Rhodes
July 7, 2023
Calculus

Understanding the Limit of Sin(x)/x as x Approaches 0: A Simplified Explanation and Proof

limit as x approaches 0: sinx/x To evaluate the limit of sin(x)/x as x approaches 0, we can’t simply substitute the value 0 into the expression because...

John Rhodes
July 7, 2023
Calculus

Understanding the Cosine Function: An In-Depth Exploration of its Definition, Properties, and Applications

Cosine Function The cosine function, denoted as cos(x), is a mathematical function that relates the angle of a right triangle to the ratio of the length of...

John Rhodes
July 7, 2023
Calculus

Exploring the Natural Logarithm Function: Properties, Examples, and Applications

Natural Logarithm Function The natural logarithm function, denoted as ln(x) or sometimes simply as log(x), is a mathematical function that is the inverse of the exponential function...

John Rhodes
July 7, 2023
Calculus

Understanding Exponential Functions: A Comprehensive Guide to Growth and Decay

Exponential Function An exponential function is a mathematical function of the form f(x) = a^x, where a is a constant and x is the exponent An exponential...

John Rhodes
July 7, 2023
Calculus

The Square Root Function: Exploring Mathematics and Properties of the Square Root Function

Square Root Function The square root function is a mathematical function that calculates the square root of a given number The square root function is a mathematical...

John Rhodes
July 7, 2023
Calculus

The Growth and Decline: Understanding Logistic Functions and Their Applications

Logistic Function A logistic function is a type of mathematical function that describes the growth or decline of a population or quantity over time A logistic function...

John Rhodes
July 7, 2023
Calculus

Exploring the Absolute Value Function: Definition, Applications, and Graphical Representation

Absolute Value Function The absolute value function is a mathematical function that gives the distance between a number and zero on a number line The absolute value...