Mathematics | Senioritis

John Rhodes
July 7, 2023
Calculus

Understanding Concavity in Math: Exploring the Relationship between Function Shape and Second Derivative

If f(x) is concave up, then f”(x) is? If a function f(x) is concave up, it means that the graph of the function is shaped like a...

John Rhodes
July 7, 2023
Calculus

Understanding Decreasing Functions: Exploring the Relationship between Function Decrease and Derivatives

If f(x) is decreasing, then f'(x) is? If a function f(x) is decreasing, it means that as the value of x increases, the corresponding values of f(x)...

John Rhodes
July 7, 2023
Calculus

Understanding Mathematical Functions: Exploring the Relationship Between Increasing Functions and Positive Derivatives

If f(x) is increasing, then f'(x) is? If the function f(x) is increasing, it means that as x increases, the values of f(x) also increase If the...

John Rhodes
July 7, 2023
Calculus

Calculating the Instantaneous Rate of Change: A Step-by-Step Guide with Example

Instantaneous Rate of Change at x=a The instantaneous rate of change of a function at a particular point, denoted as x = a, represents the rate at...

John Rhodes
July 7, 2023
Calculus

Calculating Average Rate of Change: Formula and Example for a Function

Average Rate of Change of f(x) on [a,b] The average rate of change of a function f(x) on the interval [a, b] can be calculated using the...

John Rhodes
July 7, 2023
Geometry

Understanding Perpendicular Lines in Mathematics: Definition, Properties, and Methods of Determination

Perpendicular In mathematics, the term “perpendicular” is used to describe two lines, segments, or rays that intersect at a right angle (90 degrees) In mathematics, the term...

John Rhodes
July 7, 2023
Geometry

How to Determine if Two Lines are Parallel: The Math of Parallel Lines Explanation and Steps

Parallel In mathematics, parallel lines are lines that never intersect In mathematics, parallel lines are lines that never intersect. They are always the same distance apart and...

John Rhodes
July 7, 2023
Geometry

How to Find the Area and Perimeter of a Trapezoid: A Step-by-Step Guide with Examples

Trapezoid A trapezoid is a quadrilateral with two parallel sides and two non-parallel sides A trapezoid is a quadrilateral with two parallel sides and two non-parallel sides....