Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Mastering Indeterminate Forms: Techniques For Evaluating Limits In Math

indeterminate forms 0/0, ∞/∞, ∞*0, ∞ – ∞, 1^∞, 0⁰, ∞⁰ Indeterminate forms are specific types of limits that cannot be determined by simply substituting the value...

John Rhodes
June 21, 2023
Calculus

Ensuring Well-Defined And Correct Behavior: Key Domains To Check When Performing Operations On Functions

domains that need to be checked when adding/subtracting/multiplying/dividing f(x) and g(x) for h(x) domain of inputs f(x) and g(x), and final result h(x) When adding, subtracting, multiplying,...

John Rhodes
June 21, 2023
Calculus

Compelling Math Content: The Convolution Operation And Its Applications In Signal Processing And Engineering.

What is (f*g)(x) multiplying inputs The expression (f*g)(x) represents the convolution of two functions f(x) and g(x). The expression (f*g)(x) is defined as: (f*g)(x) = integral from...

John Rhodes
June 21, 2023
Calculus

The Best Guide On Function Composition: (Fog)(X) Explained With Examples

what is (fog)(x) f(g(x)) or plugging g(x) into (f(x)) Assuming that fog means function composition, (fog)(x) represents the output of the function f composed with the function...

John Rhodes
June 21, 2023
Calculus

How To Find H(X)=G(F(X)): A Guide To Optimizing Domains In Math Compositions

domains that need to be checked when finding h(x)=g(f(x)) f(x) and h(x) only (NOT g(x)) When finding h(x)=g(f(x)), there are several domains that need to be checked:...

John Rhodes
June 21, 2023
Calculus

Functions In Mathematics: The Definition, Examples, And The Vertical Line Test

what makes an equation a function vertical line test (every input only has exactly one output) An equation is called a function if for every input (also...

John Rhodes
June 21, 2023
Calculus

Discovering If A Function Has An Inverse: The Importance Of Injectivity And Surjectivity In Math

how to know if a function has an inverse horizontal line test There are different ways to determine if a function has an inverse, but one common...

John Rhodes
June 21, 2023
Calculus

Mastering One-To-One Functions: Tips And Techniques For Analysis And Optimization

how to know if a function is one to one passes both horizontal and vertical line test (every input has its own output) A function is considered...