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Properties of dot product - proof, Properties of Dot Product - proof P...

Properties of Dot Product - proof Proof of: If v → • v → = 0 then v → = 0 → This is a pretty simple proof.  Let us start with v → = (v1 , v2 ,.... , vn) a

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Formulas Now there are a couple of nice formulas which we will get useful in a couple of sections. Consider that these formulas are only true if starting at i = 1. You can, obv

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To solve out linear equations we will make heavy use of the following facts. 1. If a = b then a + c = b + c for any c.  All it is saying that we can add number, c, to both sides

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For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equ

Find extrema & relative extrema f ( x ) = x3 on [-2, Recognizes the absolut...

Recognizes the absolute extrema & relative extrema for the given function.                                                    f ( x ) = x 3      on        [-2, 2] Solution :

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The conjugate of the complex number a + b i is the complex number a - b i .  In other terms, it is the original complex number along the sign on the imaginary part changed.  Here

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