John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Trigonometry

Mastering The Sine Function: Its Definition, Notation, And Applications In Trigonometry And Beyond.

sine the ratio of the opposite side and the hypotenuse of a right triangle (opposite/hypotenuse) or y/r In trigonometry, the sine function (often abbreviated as sin) is...

John Rhodes
June 21, 2023
Trigonometry

Standard Position: Measuring Angles And Points In The Cartesian Plane

standard position angle with the vertex at the origin and initial side along the positive x-axis In mathematics, standard position refers to the position of an angle...

John Rhodes
June 21, 2023
Calculus

Local Maximum In Math: Definition, Properties And Determining Global Maximum

f has a local (relative) maximum at x=a f(a) is greater than or equal to every other y-value in some interval containing x=a If function f has...

John Rhodes
June 21, 2023
Calculus

Acceleration: Exploring The Rate Of Change In An Object’S Position Over Time.

Acceleration (in terms of position) d^2s/dt^2, where s(t)=position Acceleration is the rate at which the velocity of an object changes with respect to time. In terms of...

John Rhodes
June 21, 2023
Calculus

How Friction, Air Resistance, And Gravity Affect Decreasing Speed In Objects

Decreasing speed Velocity and acceleration have opposite signs Decreasing speed means that an object is slowing down, or that its velocity is decreasing. There are several factors...

John Rhodes
June 21, 2023
Calculus

Average Rate Of Change In Calculus: Defining, Calculating, And Interpreting The Relationship Between Variables.

Average Rate of Change of f on [a,b] f(b)-f(a)/b-a The average rate of change of a function f on the interval [a, b] is defined as the...

John Rhodes
June 21, 2023
Calculus

How To Calculate Derivatives: The Fundamentals Of Function Behavior

Definition of derivative f'(x) = f(a+h)-f(a)/h The derivative of a function f(x) is a measure of the rate at which the function changes with respect to its...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: The Difference Quotient For Accurate Derivatives And Tangent Lines

Difference quotient for f at x=a The graph of f is concave downward on the interval a