Calculus

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Random Variables: Mean, Variance and Standard Deviation
Random Variables: Mean, Variance and Standard Deviation 150 150 SchoolTutoring Academy

When determining characteristics of a variable, there are a variety of data points that can be determined. For all of our examples shown today, we will let X be the…

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Core Intuitions – Why We Are All Smart
Core Intuitions – Why We Are All Smart 150 150 Suzanne

Educators have been influenced by the theory of multiple intelligences for a few decades now. This theory, which was developed by Howard Gardner in 1983, suggests that we all have…

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Factoring: Least Common Multiple
Factoring: Least Common Multiple 150 150 SchoolTutoring Academy

The LCM of two numbers x and y is the least number among all the common multiples of x and y. Example: Find the LCM of 6 and 9.  …

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3D Spaces: Addition and Subtraction in Cubic Areas
3D Spaces: Addition and Subtraction in Cubic Areas 150 150 SchoolTutoring Academy

Sum of cubes: We can factorize an expression involving sum of cubes using the following formula. a3 + b3 = (a+b) (a2 – ab + b2) Example 1: Factorize the…

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Formulas for the Equation of a Line
Formulas for the Equation of a Line 150 150 SchoolTutoring Academy

Equation of a line: An equation is called the equation of a straight line if each point on the line satisfies that equation and no other point on the plane…

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Calculus: Highest Common Factor
Calculus: Highest Common Factor 150 150 SchoolTutoring Academy

The Highest Common Factor (HCF) of two numbers x and y is the highest number among all the common factors of x and y.   Example: Find the HCF of…

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Review of Symmetric and Skew-symmetric Matrices
Review of Symmetric and Skew-symmetric Matrices 150 150 SchoolTutoring Academy

Transpose of a matrix is the matrix obtained by changing its rows into corresponding columns or columns into corresponding rows. The transpose of a m × n matrix is a…

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Composition of Functions
Composition of Functions 150 150 SchoolTutoring Academy

A function is a relation that assigns to each input value exactly one output value. A function can be defined as a rule that relates how one quantity depends on…

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Finding the Inverse of a Function
Finding the Inverse of a Function 150 150 SchoolTutoring Academy

Inverse of a function The word inverse comes from the word invert which means opposite, upside down. Let f and g be two functions such that function g is inverse…

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Introduction to Functions: Understanding Domain and Range
Introduction to Functions: Understanding Domain and Range 150 150 SchoolTutoring Academy

A function can be defined as a rule that relates how one quantity depends on other quantities. A function is a relationship between two variables. The first variable is called…

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