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1. Consider the relation on A = {1, 2, 3, 4} with relation matrix:
Assume that the rows and columns of the matrix refer to the elements of A in the order 1, 2, 3, 4.
(a) Draw the digraph for the given partial order.
(b) Draw the Hasse Diagram for the partial order.
(c) How many total orders contain the given partial order as a subset?
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Basic "computation" formulas : Next, let's take a quick look at some basic "computation" formulas that will let us to actually compute some derivatives. Formulas 1) If f
Disjointed Sets or Mutually Exclusive Two sets are said to be mutually or disjointed exclusive whether they have no elements in common. Sets P and R underneath are disjointed
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Applications of derivatives : At last, let's not forget about our applications of derivatives. Example Assume that the amount of air in a balloon at any time t is specified
Keith wants to know the surface area of a basketball. Which formula will he use? The surface area of a sphere is four times π times the radius squared.
Example for Comparison Test for Improper Integrals Example: Find out if the following integral is convergent or divergent. ∫ ∞ 2 (cos 2 x) / x 2 (dx) Solution
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((1-x)/(1+x))^0.5
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