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  • John Rhodes
  • July 30, 2023
  • Calculus

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

A(t)=P(1 +/- r)^t In the formula A(t) = P(1 +/- r)^t, we are looking at exponential growth or decay In the formula A(t) = P(1 +/- r)^t,...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Unraveling Euler’s Number | The Fundamental Mathematical Constant with Applications in Calculus and Beyond

the number give by e=limx–>∞( 1+ 1/x)^x The number given by e is a fundamental mathematical constant known as Euler’s number The number given by e is...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Understanding the Exponential Growth/Decay Model | A Comprehensive Explanation of the Equation A(t) = Pe^rt

A(t)=Pe^rt The equation A(t)=Pe^rt is an exponential growth/decay model commonly used in mathematics and science The equation A(t)=Pe^rt is an exponential growth/decay model commonly used in mathematics...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Understanding the Inverse Relationship between Exponential and Logarithmic Functions

the inverse of the exponential function, given as f(x)=logax The inverse of the exponential function f(x) = a^x, where a is a positive constant greater than 1,...
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  • John Rhodes
  • July 30, 2023
  • Algebra

Understanding the Slope-Intercept Form | Equation of a Straight Line, Slope, and Y-Intercept

Slope-intercept form for equation of a line. The slope-intercept form is a popular way to represent the equation of a straight line The slope-intercept form is a...
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  • John Rhodes
  • July 30, 2023
  • Calculus

Understanding Logarithms with Base 10 | Simplifying Complex Calculations and Standard Representation in Science and Engineering

a logarithm with base 10 (written as log x) A logarithm with base 10, written as log x, is a mathematical function that calculates the exponent to...
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  • John Rhodes
  • July 30, 2023
  • Algebra

Understanding the Significance of the Slope in Linear Equations | Exploring the Relationship between Variables and their Rates of Change

The m in the y=mx+b is the The “m” in the equation y = mx + b is the slope of the linear equation The “m” in...
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  • John Rhodes
  • July 30, 2023
  • Algebra

Understanding the Y-Intercept in the Equation y = mx + b | Definition, Importance, and Examples

The b in y=mx+b is the The “b” in the equation y = mx + b is called the y-intercept The “b” in the equation y =...
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