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First, we need to recall 2 basic definitions of vector operations:

The dot product is defined on vectors u=[u₁, u₂,...u_n] and v...

Suppose you have a quadratic equation: x² + 5x + 6

You are told it has TWO REAL ROOTS and you are t...

To solve the equation: (5x+3)/(x) + x = 1, where (x) is the denominator, we have to convert the equation into an equation without any denominators.

To do this, we multiply each variable by (x)...

The chain rule is used when you're trying to differentiate a complicated function, and it allows you to split up the function into easier ones. The trick is spotting where to split the function, and what ...