Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Continuity Of Functions: How To Determine Existence Of F(2)

Which of the following statements, if true, can be used to conclude that f(2) exists?i. limx→2f(x) exists.ii. f is continuous at x=2.iii. f is differentiable at x=2....

John Rhodes
June 21, 2023
Calculus

Secant Lines In Calculus: Definition, Formula, And Application

secant line (2.1) a line crosses a curve at two points A secant line is a straight line that intersects a curve at two points. In calculus,...

John Rhodes
June 21, 2023
Calculus

Master Calculus: The Tangent Line And Its Applications

tangent line (2.1) a line that touches a point on a curve, but does not cross it In calculus, the tangent line (2.1) of a curve at...

John Rhodes
June 21, 2023
Calculus

The Position Function In Calculus: A Guide To Describing And Analyzing Motion

position function (2.1) function that shows the location of an object at a given time; ex. h(t) = 100 – 16t^2 In calculus, the term position function...

John Rhodes
June 21, 2023
Calculus

Velocity In Physics: Definition, Equation, And Differences From Speed

velocity (2.1) magnitude and direction an object is traveling (also the slope of distance/time) Velocity is defined as the rate at which an object changes its position...

John Rhodes
June 21, 2023
Calculus

Speed: Definition, Formula And Applications

speed (2.1) the absolute value of velocity Speed is a measure of how fast an object moves with respect to time. It is defined as the distance...

John Rhodes
June 21, 2023
Calculus

How To Find The Slope Of A Tangent Line: Step-By-Step Guide And Formulas

how to find the slope of a tangent line? (2.1) use the slope of smaller and smaller secant lines to find the slope of tangent line at...

John Rhodes
June 21, 2023
Calculus

How To Calculate Average Rate Of Change In Mathematical Functions: A Step-By-Step Guide

average rate of change (2.1) slope of secant line The average rate of change is a mathematical concept that refers to the average rate at which a...