Mathematics | Senioritis

John Rhodes
June 21, 2023
Geometry

Exploring The Properties And Applications Of Rhombus In Geometry

rhombus a parallelogram with 4 congruent sides A rhombus is a four-sided polygon (also called a quadrilateral) in which all sides are equal in length. Additionally, the...

John Rhodes
June 21, 2023
Geometry

Mastering Trapezoids: Formulas And Types Explained For Area And Perimeter Calculations

trapazoid a quadrilateral with one pair of parallel sides A trapezoid is a quadrilateral with only one pair of parallel sides. The parallel sides are called the...

John Rhodes
June 21, 2023
Calculus

Mastering Continuity: The Importance Of Smooth Function Transition In Mathematics

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

Discover The Intermediate Value Theorem: How Continuous Functions Cross Boundaries For Guaranteed Results

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 Of A Function: A Fundamental Concept In Calculus & Its Practical Applications

Definition of the Derivativef'(x) = ___________________ lim h->0 f(x+h)-f(x) / h The derivative of a function f(x) is defined as the rate of change of the function...

John Rhodes
June 21, 2023
Calculus

Mastering Derivatives: The Alternative Definition Of Derivative For Algebraic Calculations

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 x=a can be defined alternatively as: lim...

John Rhodes
June 21, 2023
Calculus

Discover The Proof Behind The Limit Of Sin(Theta) / Theta As Theta Approaches 0 = 1 Using Taylor Series Expansion.

lim theta->0 sin(theta) / theta = ___________________ 1 The limit of sin(theta) / theta as theta approaches 0 is equal to 1. To see why this is...

John Rhodes
June 21, 2023
Calculus

Evaluating (1 – Cos(Theta)) / Theta Using Trigonometric Limits And 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 or...