Mathematics | Senioritis

John Rhodes
July 7, 2023
Geometry

Understanding Preimage in Mathematics: Explained with Examples

preimage In mathematics, a preimage refers to the original set of values or points that are mapped or transformed to a new set of values or points...

John Rhodes
July 7, 2023
Geometry

Unlocking the Power of Transformations: Exploring the Geometry and Algebraic Manipulation of Figures and Objects

transformation In mathematics, a transformation refers to a process that alters the position, shape, or size of a figure or object In mathematics, a transformation refers to...

John Rhodes
July 7, 2023
Calculus

Approaching the Limit: The Continuity of sin(x) as x Goes to 0

lim x->0 sinx = To find the limit of sin(x) as x approaches 0, we can use the concept of continuity and the value of the sine...

John Rhodes
July 7, 2023
Calculus

Using the Squeeze Theorem to Evaluate Limits in Calculus

Squeeze Theorem The Squeeze Theorem is a powerful tool in calculus that allows you to evaluate limits when direct substitution or other basic techniques don’t work The...

John Rhodes
July 7, 2023
Calculus

The Extreme Value Theorem: Ensuring the Existence of Maximum and Minimum Values for Continuous Functions on Closed and Bounded Intervals

Extreme Value Theorem The Extreme Value Theorem is a mathematical theorem that applies to continuous functions on a closed and bounded interval The Extreme Value Theorem is...

John Rhodes
July 7, 2023
Calculus

The Intermediate Value Theorem: Exploring the Existence of Solutions for Continuous Functions on Closed Intervals

Intermediate Value Theorem The Intermediate Value Theorem is a fundamental theorem in calculus that guarantees the existence of a solution for a specific type of function The...

John Rhodes
July 7, 2023
Calculus

Understanding Continuity in Mathematical Functions: Exploring the Definition and Example

the function is continuous at x=a if The function f(x) is said to be continuous at x = a if three conditions are met: 1 The function...

John Rhodes
July 7, 2023
Calculus

Understanding the Average Rate of Change in Functions: Formula and Interpretations

average rate of change The average rate of change is a mathematical concept that measures the overall change in a function over an interval The average rate...