Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

The 2Nd Fundamental Theorem Of Calculus: Evaluating Definite Integrals Made Easy

2nd Fundamental Theorem of Calculus d/dx the integral of f(t) from a to x = f(x) The 2nd Fundamental Theorem of Calculus states that: If f(x) is...

John Rhodes
June 21, 2023
Calculus

Euler Method Explained: Solving Differential Equations Numerically

Euler Method New y = old y + (step size)(slope at old point) The Euler Method, named after the Swiss mathematician Leonhard Euler, is a numerical method...

John Rhodes
June 21, 2023
Calculus

Population Dynamics With The Logistic Equation: Applications In Ecology And Beyond.

Logistic Equation dN/dt= rmax N [1-k/n] The logistic equation is a mathematical model used to describe the growth of a population over time, taking into account the...

John Rhodes
June 21, 2023
Calculus

Mastering Area Calculation: A Guide To Finding Area Between Two Curves Using Integration

Area between two curves integral of (top curve-bottom curve) from a to b(with respect to x)integral of (right curve – left curve) from a to b(with respect...

John Rhodes
June 21, 2023
Calculus

Calculating Volume With Disk Method: A Comprehensive Guide For Math Enthusiasts.

Disk Method volume = pi * the integral of (radius)^2 from a to bradius = top curve – bottom curve (horizontal, x)or right curve – left curve...

John Rhodes
June 21, 2023
Algebra

Mastering The Binomial Distribution: A Guide To Modeling Probabilities And Outcomes In Bernoulli Trials

binomial A two-term polynomial. A binomial is a type of probability distribution that is used to model the outcomes of a series of independent Bernoulli trials. A...

John Rhodes
June 21, 2023
Algebra

Coefficients: The Key To Simplifying Algebraic Expressions And Solving Equations

coefficient The numerical value of a term. In mathematics, a coefficient refers to a numerical or constant factor that appears together with a variable or set of...

John Rhodes
June 21, 2023
Algebra

Mastering Math: Simplifying Expressions By Combining Like Terms

combine like terms Adding or subtracting terms that have the same variable(s) and exponent(s). Combining like terms refers to combining variables or constants that have the same...