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  • John Rhodes
  • July 30, 2023
  • Calculus

Solving a Differential Equation | dy/dx = 7/x³

y’=7/x³ The given equation is a differential equation which can be written as: dy/dx = 7/x³ To solve this equation, we need to find the function y(x)...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Solving a First Order ODE | y’ = 2e^x using Separation of Variables

y’=2e^x The given equation is y’ = 2e^x The given equation is y’ = 2e^x. This is a first order ordinary differential equation, where y’ represents the...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Integrating y’ = 1/(2e√x) to Find a Solution for the Given Derivative Problem

y’=1/(2e√x) The given expression is a derivative problem The given expression is a derivative problem. To find the solution, we need to integrate the given expression with...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Understanding the Vertical Line Test | Determining if a Relation Represents a Function

vertical line test The vertical line test is a method used in mathematics to determine whether a relation or a graph represents a function The vertical line...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Understanding the Horizontal Line Test | Determining If a Function is One-to-One or Not

horizontal line test The horizontal line test is a method used to determine if a function is one-to-one or injective The horizontal line test is a method...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Unleashing the Power of Exponential Functions | A Comprehensive Guide to Growth and Decay

exponential functions Exponential functions are a type of mathematical function that models the growth or decay of a quantity that increases or decreases at a constant rate...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Exploring Logarithmic Functions | Properties, Applications, and More!

logarithmic functions A logarithmic function is a mathematical function that relates the logarithm of a number to its input value A logarithmic function is a mathematical function...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Understanding Logarithms and Exponents | Solving Equations with Logarithms and Exponents

solving equations with logarithms and exponents To solve equations involving logarithms and exponents, we need to understand the properties and rules of logarithms and exponents To solve...
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