Discrete Mathematics Answers

The number of elements in the Power set P(S) of the set S = { { Φ} , 1, { 2, 3 }} is?

Draw the Venn diagrams for each of these combinations

of the sets A, B, and C.

a) A ∩ (B − C) b) (A ∩ B) ∪ (A ∩ C)

c) (A ∩ B) ∪ (A ∩ C)

Describe the Hasse diagram formed by the Relation "x is a divisor of y" for the set A = {1, 3, 6, 12, 24, 48}

For the following relation on the set {1,2,3,4,5,6,7,8,9,10,11,12}.

Describe the Hasse diagram formed by the Relation "x is a divisor of y" for the set 
A = {1, 3, 6, 12, 24, 48}

Solve the equation log_xe^2e = eInx-e

Express 2x+1 / x(x+1) in partial fractions and hence find the general solution of the differential equation x(x+1)dy/dx = y(2x+1) expressing y explicitly in terms of x.

In the following Statement: 
 " If the BIOS test runs fine, the CPU and motherboard must be OK. If the CPU and motherboard and memory are all OK, then there must be a flaw in the OS. The BIOS test runs fine and the memory is OK. Therefore there must be a flaw in the OS."

Write the Four (4) Propositional Statements: Say:

P:
Q:
R:
S:

3.3 In a class of 100 learners, 80 do Mathematics and 35 do Physics.

 If x learners do Mathematics and Physics, and y learners do 

 neither Mathematics nor Physics, find the greatest possible value

 of y.