Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Slope: Why Is The Slope Of A Horizontal Line 0?

Horizontal line slope zero The slope of a horizontal line is 0. This is because a horizontal line has the same y-coordinate for every point along it....

John Rhodes
June 21, 2023
Calculus

Slope: Why A Vertical Line Has An Undefined Slope In Mathematics

vertical line slope undefined A vertical line does not have a slope because its slope is undefined. This is because a vertical line is perfectly upright and...

John Rhodes
June 21, 2023
Calculus

Calculus: Estimating Slopes With Secant Lines And Its Relation To Tangent Lines.

secant line straight line joining two points on a function A secant line is a straight line that intersects a curve at two or more points. In...

John Rhodes
June 21, 2023
Calculus

Master The Average Rate Of Change Formula For Calculus, Economics, And Physics With Our Simple Guide

average rate of change formula f(b)-f(a)/b-a The average rate of change formula is used to calculate the rate at which a quantity changes over a given interval...

John Rhodes
June 21, 2023
Calculus

Learn How To Integrate Sin(X) With -Cos(X) + C Explained

∫sin(x)dx -cosx + c ∫sin(x)dx = -cos(x) + C where C is the constant of integration. To derive this result, we can use integration by substitution. Let...

John Rhodes
June 21, 2023
Calculus

How To Integrate Cos(X) Using The Substitution Method – Step-By-Step Guide

∫cos(x)dx sinx + c To integrate ∫cos(x)dx, we can use the integration by substitution method. Let u = sin(x), so that du/dx = cos(x)dx. Substituting u and...

John Rhodes
June 21, 2023
Calculus

Mastering Integration: A Step-By-Step Guide Using Substitution To Solve ∫Tan(X)Dx

∫tan(x)dx ln|secx|+c We can solve this integral using substitution. Let u = cos(x), then du/dx = -sin(x) and dx = du/(-sin(x)). We can also express tan(x) in...

John Rhodes
June 21, 2023
Calculus

How To Integrate Cot(X) Using The Method Of Substitution

∫cot(x)dx -ln|csc(x)| +C To integrate ∫cot(x)dx, we can use the method of substitution. Let’s consider the following substitution: u = sin(x) Then, we can express cot(x) in...