Other Math Answers

1.Determine the nature of the stationary value of x= t^3 - 3t + ty^2

2. A rectangle box whose value is 32 is open at the top,if the surface area is 2(L+B)H + LB where LBH are Length,Breadth and Height Respectively

i.Find the Dimension of the box that may require list material

ii.investigate weather the dimension found requires List material.

I. Determine whether each of the following statements about Fibonacci numbers is true or false. a. 2F₁>Fn+1for n ≥ 3 b. 2F +4 = Fn+3 for n ≥ 3

d) The Profit function of a firm is of the form π = aQ2 + bQ + c if it is known that π =

31, 34, and 27 when Q = 1, 2, and 3 respectively, write down a set of three unknowns,

a, b, and c. Solve this system to find a, b, and c. hence find the profit when Q = 5. [7]

e) A real estate firm owns the Kasumba Garden Apartments which consists of 90

apartments. At K350 per month every apartment can be rented. However, for each K10

per month increase there will be two vacancies with no possibility of filling them. The

firm wants to receive K31980 per month from rents. What rent should be charged for

each apartment?

a) Given the demand function for computers to be P = 2400 – 0.4Q

i. Determine the coefficient of point elasticity of demand when P = 1800, P = 1200,

and P = 600 and give an interpretation of each result. [7]

ii. If the price of computers increases by 12%, calculate the percentage change in

quantity demanded at P = 1800, P = 1200, and P = 600. [12]

An open economy is in equilibrium when

Y = C + I +G + X − M

where

Y =

national

income,

C =

consumption,

I =

investment,

G =

government expenditure,

X =

exports,

M =

imports,

Determine the equilibrium level of income given that

C = .0 5Y + 70 I = 65 G =120 X =120 M = .0 3Y + 40

Discuss Theories of teaching mathematics, for example constructivism and behaviourism.

Discuss the application of knowledge of teaching practices (productive pedagogy; situational theory and reflective practice).

Utilising examples to teach mathematics

Discuss Teaching strategies

Discuss the significance of using resources, models and manipulatives in the teaching of mathematics