Other Math Answers

Solve the Travelling Salesman Problem using Branch and Bound Technique.

Further maths question

1.Express 3x-1/(x+1)(x-3) in a partial fraction

2. Simplify 2/3+5

3.Solve the quadratic equation using factorization method

a. 4x²+8x+1=0

b.3x²+4x-3=0

Maths question

1.Using a ruler and a pair of compass only construct a triangle PQR such that /QR/=6.5cm, /PQ/=3.2cm. a.construct the locus L1 of point equidistance from B and Q. Join RS and PS where S is point of intersection of L1 and L2. Measure /QS/

y(t) + 4 y(t) = 6 e^2t with y(0) = 3 find solution of this differential equation with use laplace transform.

Give an example each in support of the following statements: (a) in some situations the mode of the given data is a better representative value of the data than the mean of this data.

(b) Primary school children need to learn about chance.

(c) The product of two integers a and b need not be greater than a or b.

(d) There is more than one way of dividing a three digit integer by a single digit natural number.

(e) Both, inductive and deductive reasoning , used when applying the principle of mathematical induction.

Determine the cost and structure of an optimal binary search tree (OBST) for a set of n = 5 keys with the probabilities given below. You need to calculate the tables e[i, j], w[i, j] and root[i, j]. (30 marks)



i

0

1

2

3

4

5


pi


0.15

0.10

0.05

0.10

0.20


qi

0.05

0.05

0.05

0.10

0.05

0.10

if first row is 4,5,1,5 and second row is 2,1,2,5 and third row is 3,6,3,2 and the last or fourth row is 39,62,14,? then find the missing number.

Sort the given list of elements using Merge sort

4,2,7,1,9,12,11,10

Which of the following statements are true or false? Give reasons for your answer. (10) i) In the process of learning a concept, what should be noticed and given recognition is the end product. ii) Capacity and volume of 3D-objects are different concepts. iii) The sum of the interior angles of a pentagon is 450 degree iv) All rational numbers are integers but all integers are not rational numbers. v) (− 4 )− (− 7) = − 3

Which of the following statements are true or false? Give reasons for your answer. (10) i) In the process of learning a concept, what should be noticed and given recognition is the end product. ii) Capacity and volume of 3D-objects are different concepts. iii) The sum of the interior angles of a pentagon is 450 degree iv) All rational numbers are integers but all integers are not rational numbers. v) (− 4 )− (− 7) = − 3

Explain the term “concrete operational stage in the context of learning place value”.

Do you agree with the statement that most primary school children are in the

concrete operational stage. Justify your answer.