John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Algebra

Mastering Simplification: A Crucial Skill for Effortless Problem Solving in Math

Simplify To write a fraction or expression in simplest form. Simplifying refers to the process of reducing a complicated expression or problem to a simpler and more...

John Rhodes
June 21, 2023
Algebra

Undefined Rational Expressions in Algebra: Importance and Examples

What is an undefined rational expression? When the denominator equals 0 An undefined rational expression is an expression in which the denominator evaluates to zero. In other...

John Rhodes
June 21, 2023
Calculus

Continuity in Mathematics: Definition, Properties, and Examples.

Definition of Continuity:1) ___________________2) ___________________3) ___________________ 1) f(c) is defined2) lim x->c of f(c) exits3) lim x-> c of f(x) = f(c) 1) Continuity is a property...

John Rhodes
June 21, 2023
Calculus

Intermediate Value Theorem: Calculus Concepts and Proving Real Roots in Functions.

Intermediate Value Theorem:1) ___________________2) ___________________3) ___________________ then there exits a number c between a and b for which f(c) = k 1) f(x) is continues on [a,b]2)...

John Rhodes
June 21, 2023
Calculus

the Derivative in Calculus: Definition, Formula, and Applications

Definition of the Derivativef'(x) = ___________________ lim h->0 f(x+h)-f(x) / h The derivative of a function f(x) at a point x gives the instantaneous rate of change...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: the Alternative Definition of Derivatives

Alternative form of the definition of the derivative lim x->c. f(x)-f(c) / x-c The derivative of a function f(x) at a point x=a can also be defined...

John Rhodes
June 21, 2023
Calculus

Proving the Well-Known Limit of Sin(theta)/theta as Theta Approaches 0 = 1 Using Squeeze Theorem and L’Hopital’s Rule

lim theta->0 sin(theta) / theta = ___________________ 1 The limit of sin(theta) / theta as theta approaches 0 is equal to 1. This is a well-known limit...

John Rhodes
June 21, 2023
Calculus

Learn how to evaluate the limit of (1-cos(theta))/theta using L’Hopital’s rule

lim theta->0 1 – cos(theta) / theta = ___________________ 0 To evaluate the limit: lim theta->0 (1 – cos(theta)) / theta We can use L’Hopital’s rule which...