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1.1  What skills and prior knowledge does a learner need to have before they can understand the steps that you have set out in 1.1? List eight skills/knowledge aspects and explain how these are relevant to the proof in 1.1.


1. " mathematics is a language that make use of symbols and notations to describe numerical ,geometric and graphical relationships. Identity key concepts from this definition.



7


A firm's total cost function is given     TC = 4 + 8Q − Q2                                

, and total revenue asTR = 50Q − 4Q2,


where Q is the number of units produced and sold (in thousands). How many units should be produced to maximize profit?

 

a.        14

b.        252

c.        7 000

d.        115 904


 

 



In a moderate wage settlement, it was agreed that the wages of workers in the sector would be increased by 2.8% over the next four years. What percentage of wages increase on average per year?


State and discuss five building blocks that are crucial in the process of building relational skill.


A particle starts moving on a circular direction with angular speed 5 rads−1. The radius of the circle is 4 m and the angular speed at time t is given by ω =15−3t.

What is the linear speed of the particle 6 seconds after moving, and the resultant acceleration of the particle?


In a chemical reaction of Propane and oxygen gives the carbon dioxide and water as

given below

C3H3 + O2 -! CO2 + H2O

Using Gauss Seidel method Find the numbers of atoms of C, H, O.


In a chemical reaction of Propane and oxygen gives the carbon dioxide and water as

given below

C3H3 + O2 -! CO2 + H2O

Using Gauss Seidel method Find the numbers of atoms of C, H, O.


Expand Fourier series f(x)=cos x limit -pi/2 to pi/2


Supposed a 70 kg man climbs up a mountain as shown in the figure below.

Determine the work done to climb the mountain from the bottom of the mountain to the

location marked with an orange circle at 100 m height. ( x-axis = 20m, y-axis = 100m)

Approach the problem using vector analysis


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