Mathematics | Senioritis

John Rhodes
June 21, 2023
Geometry

Mastering Included Angle Calculations: Formulas and Tips for Finding Angles Between Two Line Segments and in Triangles

Included Angle The angle between two sides. The included angle is the angle formed between two line segments that share a common endpoint. To find the included...

John Rhodes
June 21, 2023
Geometry

Understanding the Included Side of a Triangle for Trigonometric Solutions

Included Side The side between two angles. An included side is a side of a triangle that is included, or sandwiched, between two other sides. In other...

John Rhodes
June 21, 2023
Geometry

Understanding Congruent Right Angles in Geometry: Definition and Proof Techniques

Congruent Right Angles Formed by perpendicular lines Congruent right angles are two right angles that have the same degree of measurement. In other words, the angles have...

John Rhodes
June 21, 2023
Calculus

The Complete Guide to Using the Chain Rule in Calculus for Multiple Composed Functions

d/dx[f(g(x))]=f'(g(x))g'(x) the chain rule for derivatives In calculus, the chain rule is used to differentiate a function that is composed of two or more functions. If we...

John Rhodes
June 21, 2023
Calculus

Partial Differentiation: A Guide to Calculating Partial Derivatives of Functions with Respect to Multiple Variables.

the process used to differentiate functions using x and y together implicit differentiation The process of differentiating functions with respect to both x and y variables together...

John Rhodes
June 21, 2023
Calculus

Understanding the Characteristics of Exponential Functions: f(x) = a^x for Positive Constant ‘a’

the function give by f(x)=a^x, where a>0 and a≠ 1 exponential function The function given by f(x) = a^x is an exponential function, where the base ‘a’...

John Rhodes
June 21, 2023
Calculus

Exponential Decay Formula: Calculate Final Amount with Half-Life and Time Elapsed

A(t)=P(1/2)^t/h half-life of a radioactive substance This formula represents exponential decay, where A(t) is the final amount, P is the initial amount, t is the time elapsed,...

John Rhodes
June 21, 2023
Calculus

Understanding Exponential Growth and Decay: A Guide to the Formula A(t)=P(1 +/- r)^t

A(t)=P(1 +/- r)^t general exponential growth/decay formula The formula A(t)=P(1 +/- r)^t is an exponential growth or decay formula, where A(t) represents the amount at time t,...