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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding the Cotangent Function: Definition, Formula, and Applications.

cotx -csc^2x The cotangent of x (cot x) is a trigonometric function that represents the ratio of the adjacent side to the opposite side of a right-angled...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Euler’s Number and Its Applications: Understanding the Function e^x in Mathematics

e^x e^u x u’ The symbol e represents a mathematical constant called Euler’s number and its approximate value is 2.71828. When the letter x is placed as...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Simplifying Math Expressions with Logarithms and Exponents: How to Reduce a^u x ln(a) to its Simplest Form

a^u x lna a^u x u’ x lna The expression a^u x ln(a) can be simplified using the properties of logarithms and exponents. Recall that ln(a) represents...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Unlocking the Power of Prime Numbers: A Comprehensive Guide to Understanding and Utilizing Their Key Properties

Prime Numbers A Natural number greater than 1 that is NOT a Product of two smaller Natural numbers. They only have 2 factors: 1 and themselves. Prime...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Understanding Perfect Squares: Definition, Properties, and Applications

Perfect Squares Numbers whose square roots are integers. They are the product of a number times exactly itself. Perfect squares are numbers that can be expressed as...
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  • John Rhodes
  • June 21, 2023
  • Differential Equations

How to Find the Square Root of a Number: Calculator and Long Division Method Explained

Square Root A value that, when multiplied by itself, gives the number under the radical sign. The square root of a number is a value that when...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Understanding Radicals: A Comprehensive Guide to the Square Roots and Beyond in Mathematics

Radical the symbol √ used to denote a root. The root of a number x is another number, which when multiplied by itself a given number of...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Master the Multiplication Property of Radicals: Simplify Your Math with Ease

Multiplication Property of Radicals When multiplying radicals (with the same index), multiply under the radical, and then multiply in front of the radical (any values multiplied times...
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