Quantitative Methods Answers

Find by lagrange’s formula, the value of
U4 if U3 = 16 , U5 = 36 , U7 = 64 , U8 = 81 and U9 = 100

An automobile dealership uses CODE = 1 for new automobiles, CODE = 2 for used automobiles, and CODE = 3 for separate accessories. A salesman’s commissions are as follows: on new automobile, 3% of the selling price but a maximum of $300; on used automobile, 5% of the selling price but with a minimum of $75; on accessories, 6% of selling price.

1. Draw a flowchart that inputs CODE and PRICE and outputs COMMISSION.
2. Write a pseudocode programme that inputs CODE and PRICE and outputs COMMISSION

Solve by iteration method:
(i) x^3 - 2 x^2 − 5=0

Solve by iteration method:
(i) sinx = x+1/x-1

Solve by iteration method:
(i) 1+logx=x

Use Mu ̈ller’s method to determine the real and complex roots of
f (x) = x^4 − 2x^3 + 6x^2 − 2x + 5

Use Mu ̈ller’s method to determine the real and complex roots of
f(x)=2x^4 + 6x^2 + 8

Use Mu ̈ller’s method to determine the real and complex roots of
f (x) = x^3− x^2 + 2x − 2