Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

The Discriminant Formula For Quadratic Equations And Its Role In Predicting Solutions.

Discriminant b²-4ac The discriminant is a mathematical concept used in quadratic equations. It is a formula used to determine the nature of the solutions of a quadratic...

John Rhodes
June 21, 2023
Calculus

Quadratic Equations With Two Real Roots: The Discriminant

If b²-4ac > 0 There are 2 real roots If $b^2-4ac>0$, then the quadratic equation $ax^2+bx+c=0$ has two real roots. To understand this, let’s start with the...

John Rhodes
June 21, 2023
Calculus

The Discriminant: How To Determine If A Quadratic Equation Has Real Solutions

If b²-4ac < 0 There are no roots If b²-4ac < 0, then the quadratic equation ax² + bx + c = 0 has no real solutions....

John Rhodes
June 21, 2023
Calculus

Quadratic Equations: When B² – 4Ac = 0 Yield Only One Real Root

If b²-4ac = 0 1 real root If the equation b²-4ac = 0, where a, b, and c are constants, it means that the quadratic equation ax²...

John Rhodes
June 21, 2023
Calculus

Calculus: The Importance Of Average Rate Of Change And Its Formula

Average rate of change f(b)-f(a)/b-a The average rate of change is the amount of change in a given quantity over a specific period of time or over...

John Rhodes
June 21, 2023
Calculus

Learn How To Factorize The Expression A^3 + B^3 With Formula And Algebraic Method

a^3 + b^3 (a + b)(a^2 – ab + b^2) The expression a^3 + b^3 is the sum of the cubes of two terms, namely a and...

John Rhodes
June 21, 2023
Calculus

Learn How To Factor The Difference Of Cubes With Our Simple Formula – A^3 – B^3 Explained

a^3 – b^3 (a-b)(a^2+ab+b^2) The expression a^3 – b^3 is a difference of cubes. This expression can be factored using the formula for difference of cubes, which...

John Rhodes
June 21, 2023
Calculus

Removable Discontinuities In Functions: Explained With Math Formulas And Examples

What are removable discontinuities? Holes Removable discontinuities are a type of discontinuity that occur in a function when there is a hole in the graph at a...