Mathematics | Senioritis

John Rhodes
June 21, 2023
Geometry

Understanding Same-Side Interior Angles: Definition, Examples, and Properties

same-side interior angles that are on the same side of the transversal and in between the parallel lines Same-side interior angles are pairs of angles that are...

John Rhodes
June 21, 2023
Geometry

Understanding the Corresponding Angles Postulate: Geometry Basics.

Corresponding angles postulate right if two parallel lines are cut by a transversal, then the corresponding angles are congruent The corresponding angles postulate states that when a...

John Rhodes
June 21, 2023
Calculus

Understanding the Limit Definition of Derivative: A Fundamental Concept 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 formula that is used to calculate the derivative of...

John Rhodes
June 21, 2023
Calculus

Mastering the Basics: Calculating Derivatives for Optimal Problem Solving in Math and Physics

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

John Rhodes
June 21, 2023
Calculus

Evaluating the Limit of sinx/x Approaching 0 using L’Hopital’s Rule and the Squeeze Theorem in Math.

limit as x approaches 0: sinx/x 1 To evaluate the limit of sinx/x as x approaches 0, we can use L’Hopital’s rule or the Squeeze theorem. Using...

John Rhodes
June 21, 2023
Calculus

Discovering the Limit of 1 – cos(x) / x as x Approaches 0 Using L’Hopital’s Rule

limit as x approaches 0: 1-cosx/x 0 To find the limit of the expression as x approaches 0, we can attempt to evaluate the expression directly. However,...

John Rhodes
June 21, 2023
Calculus

Mastering the Continuity Rule: Ensuring Smooth Behaviors and Consistent Equations in Mathematics.

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...

John Rhodes
June 21, 2023
Calculus

Mastering the Basics of Calculus: Understanding the Derivative Formula for Instantaneous Rate of Change

Basic Derivative f(x^n)= nX^(n-1) The derivative is a mathematical concept used in calculus to represent the instantaneous rate of change of a function with respect to one...