John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Probability

Probability Models: Exploring The Math Behind Random Phenomena.

probability model a mathematical description of a random phenomenon consisting of two parts: a sample space S and a way of assigning probabilities to events A probability...

John Rhodes
June 21, 2023
Probability

Mastering Probability Simulation: Tools And Techniques For Better Decision Making

Probability simulation The use of a random number generator to generate outcomes that are consistent within a given probability model Probability simulation is a technique used to...

John Rhodes
June 21, 2023
Probability

The Importance Of Random Sampling In Research Studies

random sample a sample that fairly represents a population because each member has an equal chance of inclusion A random sample is a sample that is taken...

John Rhodes
June 21, 2023
Calculus

Master The Fundamentals: The Limit Definition Of Derivative In Calculus

Limit Definition of Derivative limit (as h approaches 0)= F(x+h)-F(x)/h The limit definition of derivative is a mathematical expression used to find the derivative of a function...

John Rhodes
June 21, 2023
Calculus

The Instantaneous Rate Of Change: An Alternate Definition Of Derivatives

Alternate Definition of Derivative limit (as x approaches a number c)=f(x)-f(c)/x-c x≠c The alternate definition of derivative of a function is the rate of change of the...

John Rhodes
June 21, 2023
Calculus

Evaluating The Limit Of Sin(X)/X As X Approaches 0 Using The Squeeze Theorem

limit as x approaches 0: sinx/x 1 To evaluate the limit as x approaches 0 of sin(x)/x, we can use the squeeze theorem. First, we know that...

John Rhodes
June 21, 2023
Calculus

Mastering Limits: Evaluating (1-Cosx)/X Using L’Hopital’S Rule

limit as x approaches 0: 1-cosx/x 0 To evaluate the limit as x approaches 0 of (1-cosx)/x, we can use L’Hopital’s rule, which states that if we...

John Rhodes
June 21, 2023
Calculus

Analyzing Function Continuity: Applying The Fundamental Continuity Rule In Calculus

Continuity Rule If the limit exists (aka left limit and right limit are equal), and the limit equals the function at that point. The continuity rule is...