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Define a cyclic group, Question 1: (a) Show that, for all sets A...

Question 1: (a) Show that, for all sets A, B and C, (i) (A ∩ B) c = A c ∩B c . (ii) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). (iii) A - (B ∪ C) = (A - B) ∩ (A - C).

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Estimating the Value of a Series One more application of series is not actually an application of infinite series.  It's much more an application of partial sums.  Actually, we

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Direction Cosines This application of the dot product needs that we be in three dimensional (3D) space not like all the other applications we have looked at to this point.

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A bag contains 8 red balls and x blue balls, the odd against drawing a blue ball are 2: 5. What is the value of x?                                                               (An

How much can they deduct from childcare expenses, A family may deduct 24% o...

A family may deduct 24% of their childcare expenses from their income tax owed. If a family had $1,345 in childcare expenses, how much can they deduct? Find out 24% of $1,345 b

Critical points, Critical Point Definition : We say that x = c is a critic...

Critical Point Definition : We say that x = c is a critical point of function f(x) if f (c) exists & if either of the given are true. f ′ (c ) = 0        OR             f ′ (c

Solution of rectilinear figures, A straight line AB on the side of a hill i...

A straight line AB on the side of a hill is inclined at 15.0° to the horizontal. The axis of a tunnel 486ft. long is inclined 28.6° below the horizontal lies in a vertical plane wi

Formulas of summation notation, Formulas Now there are a couple of nice...

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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