Mathematics | Senioritis

John Rhodes
July 29, 2023
Calculus

Understanding the Extreme Value Theorem and Its Application in Calculus

Extreme Value Theorem (EVT) The Extreme Value Theorem (EVT) is a fundamental result in calculus The Extreme Value Theorem (EVT) is a fundamental result in calculus. It...

John Rhodes
July 29, 2023
Calculus

Linear Approximation | An Efficient Method to Estimate Function Values Near Known Points

how do you do linear approximation/tangent line approximation? Linear approximation, also known as tangent line approximation, is a method used to approximate the value of a function...

John Rhodes
July 29, 2023
Calculus

Understanding the Significance of Velocity Direction Changes in Mathematics and Physics

when does an object change directions? An object changes its direction when it starts moving in the opposite direction from its previous path An object changes its...

John Rhodes
July 29, 2023
Calculus

Understanding Deceleration | Analyzing Acceleration and Graphs in Physics

when is an object slowing down? An object is slowing down when its speed or velocity is decreasing An object is slowing down when its speed or...

John Rhodes
July 29, 2023
Calculus

Understanding Speeding Up | The Relationship Between Velocity, Acceleration, and Direction

when is an object speeding up? An object is considered to be speeding up when its velocity is increasing An object is considered to be speeding up...

John Rhodes
July 29, 2023
Calculus

Calculating Average Velocity | Formulas and Steps for Finding Average Velocity in Math

how do you calculate average velocity given x(t)? To calculate average velocity given x(t), you will need to use the formula: Average Velocity (v_avg) = Δx /...

John Rhodes
July 29, 2023
Calculus

Solving Limits with L’Hospital’s Rule | A Powerful Technique in Calculus

L’hospital shortcut: polynomial/exponential (number/infinity) The L’Hospital’s rule, also known as L’Hospital’s shortcut, is a powerful technique used in calculus to evaluate limits of indeterminate forms The L’Hospital’s...

John Rhodes
July 29, 2023
Calculus

Simplifying Limits with L’Hôpital’s Rule | A Powerful Technique in Calculus

L’hospital shortcut: exponential/polynomial (infinity/number) L’Hôpital’s rule, also known as the L’Hôpital shortcut, is a powerful technique in calculus used for evaluating limits involving indeterminate forms, specifically the...