Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Mastering L’Hopital’S Rule: Computing The Limit Of Theta Approaching 0 Of (1-Cos(Theta))/Theta

Limit of theta –>0 of 1-cos(0)/0 = ? 0 To compute the limit of theta approaching 0 of (1-cos(theta))/theta, we can apply L’Hopital’s rule, which states that...

John Rhodes
June 21, 2023
Calculus

The Rationality Of Math: Exploring The Properties Of Rational Numbers

sum or product of two rational numbers is rational also a rational number. To see why this is true, let’s first define rational numbers. A rational number...

John Rhodes
June 21, 2023
Calculus

Proven: Sum Of Rational And Irrational Numbers Results In An Irrational Number

sum of rational number and irrational number is irrational The sum of a rational number and an irrational number is an irrational number. To prove this, let’s...

John Rhodes
June 21, 2023
Calculus

Why Multiplying A Rational Number With An Irrational Number Always Results In An Irrational Number: A Simple Proof By Contradiction

product of rational number and irrational number is irrational an irrational number. When we multiply a rational number (a number that can be expressed in the form...

John Rhodes
June 21, 2023
Calculus

Proving The Irrationality Of The Sum And Product Of Two Irrational Numbers

sum or product of two irrational numbers is rational or irrational g enerally irrational. Proof: Let a and b be two irrational numbers. We assume that their...

John Rhodes
June 21, 2023
Calculus

Discover The Importance And Applications Of Natural Numbers In Mathematics

natural numbers 1, 2, 3, 4, 5, … Natural numbers are the set of positive integers (whole numbers) such as 1, 2, 3, 4, 5, 6, 7,...

John Rhodes
June 21, 2023
Calculus

Composite Numbers: The Key Role They Play In Algebraic Equations, Number Theory And Security

composite numbers are positive and not prime Composite numbers are positive integers that have more than two factors (divisors). In other words, a composite number is a...

John Rhodes
June 21, 2023
Calculus

The Fundamental Theorem Of Algebra: Guaranteeing A Complex Solution To Every Polynomial Equation

the fundamental theorem of algebra any polynomial with complex coefficients has at least one complex root The fundamental theorem of algebra is a theorem in mathematics that...