John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 8, 2023
Calculus

Understanding the Continuity Rule in Calculus: A Guide to Analyzing Function Continuity at Specific Points

Continuity Rule The continuity rule, also known as the continuity theorem, is an important concept in calculus that helps us determine the continuity of a function at...

John Rhodes
July 8, 2023
Calculus

L’Hôpital’s Rule: Finding the Limit as x Approaches 0 of (1 – cos(x))/x

limit as x approaches 0: 1-cosx/x To find the limit as x approaches 0 for the given expression, we can apply L’Hôpital’s rule To find the limit...

John Rhodes
July 8, 2023
Calculus

Finding the Limit as x Approaches 0 for (sinx/x): Using L’Hospital’s Rule and Trigonometric Identity

limit as x approaches 0: sinx/x To find the limit as x approaches 0 for (sinx/x), we can use L’Hospital’s rule or apply some trigonometric identities To...

John Rhodes
July 8, 2023
Calculus

Understanding the Limit Definition of Derivative: Calculating Rate of Change with Precise Accuracy

Limit Definition of Derivative The limit definition of derivative is an important concept in calculus that helps us understand the rate of change of a function at...

John Rhodes
July 8, 2023
Geometry

The Equilateral Triangle Theorem: Explained and Proven – All Angles of an Equilateral Triangle are 60 Degrees

Equilateral Triangle Theorem The Equilateral Triangle Theorem states that if a triangle is equilateral, then all angles of the triangle are congruent (i The Equilateral Triangle Theorem...

John Rhodes
July 8, 2023
Geometry

Exploring the Converse of the Isosceles Triangle Theorem: Understanding Congruent Angles in Isosceles Triangles

Converse of the Isosceles Triangle Theorem The converse of the isosceles triangle theorem states that if a triangle has two congruent sides, then the angles opposite those...

John Rhodes
July 8, 2023
Geometry

Understanding the Isosceles Triangle Theorem: Exploring the Angles of Isosceles Triangles

Isosceles Triangle Theorem The Isosceles Triangle Theorem is a fundamental concept in geometry that relates to isosceles triangles The Isosceles Triangle Theorem is a fundamental concept in...

John Rhodes
July 8, 2023
Geometry

The Importance of Corollaries: Extending the Application of Theorems and Providing Additional Insights

corollary A corollary is a statement that follows directly from a previously proven theorem or proposition A corollary is a statement that follows directly from a previously...