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1. Let A = {1,2, 3,..., n}
(a) How many relations on A are both symmetric and anti-symmetric?
(b) If R is a relation on A that is anti-symmetric, what is the maximum number of ordered pairs that can be in R?
(c) How many anti-symmetric relations on A have the maximum size that you determined in part (b)?
cos inverse x -cos inverse 2x=pie\2
0782
y''''+6y''+10y=10x^(4)+24x^(3)+2x^(2)-12x+18
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Indeterminate form : The 0/0 we initially got is called an indeterminate form. It means that we don't actually know what it will be till we do some more work. In the denominator
prove that - there is one and only one circle passing through three non - collinear points
Ahmad borrowed $450000.00 at 3% compounded semi-annually for ten years to buy an apartment. Equal payments are made at the end of every six months. a) Determine the size of the se
1/2+1/2
81-3/4
Relative Frequency This type of probability requires us to make some qualifications. We define probability of event A, occurring as the proportion of times A occurs, if we re
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