Other Math Answers

Which of the following statements are true or false? Give a short proof or a counter example in support of your answers. i) The forward and backward recursive formulation in Dynamic programming techniques can result in different optimum solutions to the same problem. ii) A non-critical activity cannot have zero total float. iii) The addition of a consultant to all the elements of an assignment problem can affect the optimal solution of the problem. iv) If the primal LPP has an unbounded solution, the dual LPP cannot have a feasible solution. v) In queuing theory, if the arrivals are according to Poisson distribution with parameter λ, the inter-arrival time is exponential with parameter e^λ.

sin inverse( xsquare /y) is a homogeneous function of x and y.True or false?

A company owns two flour mills viz. A and B, which have different production capacities for high,medium and low quality flour.The company has entered a contract to supply flour to a midium and low quality resectively .It cost the company Rs.2000 and Rs.1500 per day to run mill A and B respectively.On a day ,mill A produces 6,2 and 4 quantals of high,midium and low quality flour respectively.How many days per month should each mill be operated in order to meet the contract order most economically.

Q1. A system of linear equations is shown below.

{2x+5y+6z =4 x-6y+2z=9
3x-2y+4z=8

(a) Write down the augmented matrix for the above system of equations.
(b) Determine whether the system of equations has unique solution.
(c) Use Gaussian elimination method to solve the above system of equations.

Q2. A student wants to study the dynamic characteristics of a low-rise building under lateral loading. The student models the building by a single lumped mass model. After considering damping, stiffness and characteristics of loading, the student comes up with the following differential equation:

d^x/dt^2-6 dx/dt+8x=sin t

where x(t) is the time-dependent function for the lateral displacement of the building.
(a) Find the complementary function of the lateral displacement.
(b) Find the particular integral of the resulting displacement.
(c) Find the particular solution of the differential equation,
given that x(0)=0 and x'(0)=1.

Ques 1:
In ABC Triangle A is 90° and AC =x
If SinB=x what is sinC=?
Ques 2
-3<5-2x<7 express it with modules

A company uses usd 10,000 worth of an item during the year. The ordering costs are Kshs. 25 per order and carrying charges are 12.5% of the average inventory value. Find:
i. The economic order quantity,
ii. Number of orders per year
iii. Time period per order
iv. The total cost

A bottle contains 255 coins
1/3 of the coins are £1 coins
110 of the coins are 50p coins
the rest of the coins are 20p coins
work out the total value of the coins contained in the bottle

For the following matrix game write down LPPs and solve it. A[-1 2 1 0]B

If two circle with radius 5 intersect what's the area of the intersection. ●()●

An electric cable of length 150 m is cut into pieces in such a way that the length of each piece follows the arithmetic progression. If the shortest piece is 0.20 m and the longest piece is 1 m;
a) how many pieces of electric cable can be made out? ( 7 marks )
b) find the sum of the first 20 pieces of electrical cable. ( 3 marks )