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Determine whether each of the function from 𝑍 to Z is onto


(a) 𝑓(𝑛) = 𝑛³


(b) 𝑓(𝑛) = 𝑛² βˆ’ 1

Determine whether each of the function from 𝑍 to Z is one to one


(a) 𝑓(𝑛) = 𝑛 βˆ’ 1


(b) 𝑓(𝑛) = 𝑛² + 1

Why did Heraclitus think fire was the one single element that made up everything else?


a. Heraclitus was looking for a stable force.


b. Heraclitus thought that there is no life without fire.


c. Heraclitus understood the connection between fire and air.


d. Heraclitus believed fire was the most changeable element.


Question 2



A school is a system that has factors that determines the culture and practices of the organisation. The diagram below provides few examples of the schooling factors. Clearly explain how each factor could contribute to teachers and learners’ daily practices. Your response should be about 700 – 900 words. (30)



Evaluation guide



Your answers should cover the following:



1. Teachers’ practices in relation to the following factors:



a. Physical setting



b. Student



c. Curriculum and resources



d. Teacher



e. Behaviour, Learning and Teaching 5X3 marks



2. Learners’ practices in relation to the following factors:



a. Physical setting



b. Student



c. Curriculum and resources



d. Teacher



e. Behaviour, Learning and Teaching 5X3 marks

10. A supercritical power generates steam at 25 Mpa and 560􀔨. The condenser pressure is 7 kpa. Determine the exit quality of steam if it expands through a turbine in this power plant.


Answer:

a. 45.66% c. 56.66%

b. 68.45% d. 74.26%


Why did it take the Greeks centuries to write down their myths?


a. They needed to develop an alphabet first.


b. Few cultures record their myths in writing.


c. The Greeks did write them down, but we have lost all evidence.


or


d. Their myths kept changing, so they did not want to write them down.


Let 𝐴 and 𝐡 be sets such that 𝐴 βˆͺ 𝐡 βŠ† 𝐡 and 𝐡 βŠ† 𝐴 . Draw the corresponding Venn


diagram

5 types of time complexity


Β QUESTION 2 Taylor and Weber's scientific management system suggests that management should do all the thinking; they should set the goals, plan and supervise. It goes on to suggest that the workers should NOT think at all; they should just do the tasks required of them. Many theorists argued that the aim of Taylor and Weber, namely increased efficiency, would not be met if managers did not consider how their workers felt. Substantiate this statement with a practical example of a principal who imposes a certain decision on teachers and does not consider their feelings & paint a scenario that prove that teachers can never just teach without thinking about or carrying out other issues related to teaching and learning. [50]


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