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Let R be the relation on S = {1, 2, 3, 4, 5} defined by
R = {(1,3); (1, 1); (3, 1); (1, 2); (3, 3); (4, 4)}.
(b) Write down the matrix of R.
(c) Draw the digraph of R.
(d) Explain whether R is reáexive, irreáexive, symmetric, antisymmetric, transitive. Describe!
Derivatives The rate of change in the value of a function is useful to study the behavior of a function. This change in y for a unit change in x is
a tire placed on a balancing machine in a service station starts from rest an d turns through 4.7 revolutions in 1.2 seconds before reaching its final angular speed Calculate its a
Example of Adding signed numbers: Example: (2) + (-4) = Solution: Start with 2 and count 4 whole numbers to the left. Thus: (2) + (-4) = -2 Adding
Mean Value Theorem : Suppose f (x) is a function which satisfies both of the following. 1. f ( x )is continuous on the closed interval [a,b]. 2. f ( x ) is differentiable on
3 years to 104 weeks,express answer in ratio
a can of soup is shaped like wich solid
without a calculator give the exact value of each of the following logarithms. (a) (b) log1000 (c) log 16 16 (d) log 23 1 (e) Solution (b) log10
The equation -2x^2-kx-2=0 has two different real soultions. find the set of possible values for k.
1/cos(x-a)cos(x-b)
The calculation of the angles of a triangle are shown by 2x + 15, x + 20 and 3x + 25. Evaluate the measure of the smallest angle within the triangle. a. 40° b. 85° c. 25°
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