John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Geometry

Math Made Simple: Exploring The Properties And Applications Of Squares

Square a parallelogram with 4 right angles and 4 equal sides Square refers to a shape with four sides of equal length and four right angles. In...

John Rhodes
June 21, 2023
Geometry

Mastering Trapezoid Properties: Area And Perimeter Formulas Explained

Trapezoid a quadrilateral with only ONE PAIR of parallel sides A trapezoid is a quadrilateral with two parallel sides (bases) of different lengths. The non-parallel sides are...

John Rhodes
June 21, 2023
Geometry

Pentagon: Exploring The World’S Largest Office Building And Symbol Of American Military Power

pentagon a polygon with 5 sides The Pentagon is the headquarters of the United States Department of Defense, located in Arlington County, Virginia, just across the Potomac...

John Rhodes
June 21, 2023
Calculus

The Gradient Vector And Its Applications In Mathematics And Engineering

Gradient vector Gives the direction of the directional derivative The gradient vector is a vector that points in the direction of maximum increase of a scalar field....

John Rhodes
June 21, 2023
Calculus

Learn How To Calculate The Gradient Vector Of A Scalar Function – Step By Step Guide

Calculating gradient vector The gradient vector is a vector that points in the direction of the greatest rate of increase of a scalar function. It is a...

John Rhodes
June 21, 2023
Calculus

How To Find The Vector With Maximum Steepness Using Directional Derivatives And Gradient Vectors In Math Functions

Find vector with maximum steepness The gradient vector at that point To find the vector with maximum steepness, we need to first define what we mean by...

John Rhodes
June 21, 2023
Calculus

Finding Maximum Rate Of Change: Derivatives And Analysis Of Mathematical Functions

Find max rate of change Magnitude of gradient vector To find the maximum rate of change, we need to take the derivative of the function and then...

John Rhodes
June 21, 2023
Calculus

How To Perform The Second Derivative Test To Find Critical Points Of A Function: Steps And Guidelines

Second Derivative Test D(x,y) = fxx(x,y) * fyy(x,y) – (fxy(x,y))^2 – D(x,y) > 0, fxx(x,y) > 0 => local maximum – D(x,y) > 0, fxx(x,y) < 0...