Computational Mathematics 1

State whether each of the following characteristics of a car is either a qualitative or quantitative measure: (i) age of the car; (ii) colour of the car; (iii) softness of the car seat; (iv) cost of the car in Ksh; (v) mileage of the car. ...

Define each of the following types of matrices: (i) null matrix; Gi) = identity matrix. (2 marks)DICT MOD 1 July 2020

Solve each of the following equations using the method indicated: (i) -3x^2 +10x+8=0 by factorization; (ii) 2x^2 + 9x-5=0 by completing the square. (6 marks)DICT MOD 1 July 2020

(i) Define each of the following terms as applied in binary codes: (i) weighted binary codes; (ii) reflective codes; (iii) sequential codes; (3 marks)DICT MOD 1 July 2020

Distinguish between linear interpolation and linear extrapolation as used in mathematics. (4 marks)DICT MOD 1 July 2020

Explain two assumptions of linear extrapolation. (4 marks)DICT MOD 1 July 2020

Using Pascal’s triangle, expand each of the following expressions in ascending powers of x: (i) (a+x)^3 (ii) (2+x)^6. (6 marks)DICT MOD 1 July 2020

Outline four properties of the arithmetic mean. (4 marks)DICT MOD 1 July 2020