Math Answers

Let R be a relation on the set { a, b, c, d }

R = { (a, b), (a, c), (a, d), (c, b), (c, d), (d, b)}.

Identify the properties satisfied on this given relation.

Find the quadratic equation whose roots are -2/3 and -1/4

Consider a relation R on a set A = { 2, 4, 7 }.

Given the relation R = { (2, 2), (2, 4), (2, 7), (4, 7}. Find:

1. Complement of a Relation

_____________________________________________________

_____________________________________________________

2. Inverse of a Relation

__________________________________________________________________________________________________________

3. Composite Product R o S and S o R ; S = { (1, 2), (2, 4), (2, 7) }

Determine whether the following can serve as the probability distribution of a random variable X.

1. P(X)= 1/7 for x=1, 2, 3, 4, 5, 6, 7

2.P(X)=x-2/3 for x = 1, 2, 3, 4, 5

The lateral area of a right cylindrical tank is 48πm2

 and its volume is 72πm3.

 Find the altitude of the tank.

P(X) = 1225X for 1, 2, 3, 4

Is it canbe serve or cannot serve, Explain.P(X) = 3 + X for x = 1, 2, 3, 4

3 – X

The production cost, represented by y, of smart phone devices are equal to the product of computing components a and the square of the number of devices x, added to the product pf labour b and number of devices x; after which savings on reusable material c are subtracted.

2.1. Suppose the production cost is R 239250, computing components cost is R1035, labour cost is R4140 and the savings on reusable materials is R1725, determine the number of devices produced

2.2. Hence, write down the equation with y as subject (in terms of x) to represent the production cost.( the value of a, b and c must be indicated.

indicate whether each of the following statements is true or false. if false indicate why.

a) if P(A/B) =0,then A and B are mutually exclusive.

b) if P(A/B) =0,then A and B are independent.

c) if P(A/B) = P(B/A), then P(A)=P(B).

d) if A and B are independent , then P(A)=P(B).

Let f be a function defined on R by:

F(x)= { x+5/(x^2-25) , when x≠5

{ 1 when x= 5

Check whether f is uniformly continuous on [-3,3] or not