Mathematics | Senioritis

John Rhodes
June 21, 2023
Geometry

How To Find The Centroid Of 2D And 3D Shapes: A Complete Guide For Mathematics And Engineering.

Centroid The point at which three medians intersect in a triangle The centroid is a point that represents the average position of all the points in a...

John Rhodes
June 21, 2023
Geometry

Exploring The Orthocenter Of A Triangle: Its Properties, Construction, And Practical Applications

Orthocenter The point at which three altitudes intersect in a triangle The orthocenter is a point of concurrency in a triangle that is formed by the intersection...

John Rhodes
June 21, 2023
Geometry

The Perpendicular Bisector Theorem: Geometry And Its Applications In Circles And Triangles

Perpendicular Bisector Theorem If a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment The Perpendicular Bisector...

John Rhodes
June 21, 2023
Calculus

Mastering The Essentials: Important Trig Identities For Simplifying And Solving Equations

Trig Identities There must be a max and min if the function is continuous on [a,b] Trig identities are equations that involve trigonometric functions and are true...

John Rhodes
June 21, 2023
Calculus

Mastering Derivatives: Dy/Dx And How To Find Derivatives Using The Power Rule And Other Techniques.

dy/dx F(x)~=~f(a) +f`(a)(x-a) The expression dy/dx is a notation that represents the derivative of y with respect to x. It represents the rate of change of y...

John Rhodes
June 21, 2023
Calculus

The Fundamental Importance Of The Intermediate Value Theorem In Calculus And Real-World Applications

Intermediate Value Theorem Used to estimate the derivative(F(x+h)-f(x))/h The Intermediate Value Theorem is a fundamental theorem in calculus that states that if a continuous function takes on...

John Rhodes
June 21, 2023
Calculus

Maximizing Your With The Extreme Value Theorem: Exploring The Importance Of Absolute Maximum And Minimum Values In Calculus.

Extreme Value Theorem To find inflection points1. Find the second derivative2. Set the second derivative equal to zero3. Solve for xOptional4. Plug in and solve for f(x)...

John Rhodes
June 21, 2023
Calculus

Mastering The Art Of Linear Approximation In Calculus: Techniques And Applications

Linear Approximation If f`is positive, then f(x) is increasingIf f` is negative, then f(x) is decreasing Linear approximation is an approximation method that is used to estimate...