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  • John Rhodes
  • June 21, 2023
  • Calculus

The Fundamental Theorem For Extreme Values: Maximum And Minimum Values Of Continuous Functions On Closed Intervals

Extreme Value Theorem If f is continuous on [a,b] then f has an absolute maximum and an absolute minimum on [a,b]. The global extrema occur at critical...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Maximizing Math: A Comprehensive Guide To Finding Extrema Of Univariate Functions

Find extrema Set fx(x,y) and fy(x,y) to 0, plug in boundaries of x and y into original function. To find the extrema of a function, you need...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Maximize And Minimize Functions: A Step-By-Step Guide With An Example

Find max/min value Plug point original function To find the maximum or minimum value of a function, we need to take the derivative of the function and...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Exploring The Properties, Types, And Applications Of Isosceles Triangles In Architecture, Geometry, And Trigonometry

isosceles Triangle A triangle that has 2 equal sides. An isosceles triangle is a special type of triangle where two sides are of equal length. It is...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Explore The Unique Properties And Formulas Of Scalene Triangles

scalene triangle a triangle with no congruent sides A scalene triangle is a type of triangle where all three sides are unequal in length. In other words,...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Discovering The Properties And Characteristics Of Acute Triangles In Geometry Problems

acute triangle a triangle where all three angles are < 90 degrees An acute triangle is a type of triangle in which all three angles are acute...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Obtuse Angles: Definition, Measurement, And Real-World Applications

obtuse angle a triangle with one angle that is > 90 degrees An obtuse angle is any angle that measures greater than 90 degrees (but less than...
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  • John Rhodes
  • June 21, 2023
  • Geometry

Master The Pythagorean Theorem: A Fundamental Rule In Mathematics For Engineering, Physics, And Architecture

Regarding side length, a triangle is a right triangle if … a² + b² = c² In a right triangle, one of the angles measures 90 degrees...
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