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A function f(x) is defined for the range -2a<=x<=2a by







f(x){2a-x if -2a<=x<0







f(x){2a+x if 0<x<=2a







Sketch f(x) and state the domain and range of f(x)

what is the mass of acetylene


Let f: R->R and g: R->R be defined respectively as follows:





f: x->9-× and g: x->3x+1





Find the domain and range of f and g.





Find f^-1 and g^-1. Using f^-1 and g^-1 you found,





Show that f^-1°g^-1=(g°f)^-1

a java program that will compute the surface area and volume of a cube using class

Sketch the graph of f: x->x+|x+2| where x€R


Identify and evaluate one ethical issue in the newspaper article using the concept of ethical interconnectedness 

 2. Evaluate the character of two people (or groups/institutions) in the article using two principles from the theory of virtue ethics 

3. Discuss the wrongdoing in the newspaper article. Relate your discussion of this wrongdoing to two principles from the theory of deontology.

4. Outline a utilitarian’s response to the newspaper article (2 marks). Refer to at least two principles from this theory

5. Analyse two approaches of governance referred to in the article and critically evaluate two principles of governance that are being compromised

Let f(x) =R->R and g(x): R->R be defined respectively as follows:





f: x->9-x², g: x->1/3x+5 find the domain and range of f and g. Find also f^-1 and g^-1.

Identify and evaluate one ethical issue in the newspaper article using the concept of ethical interconnectedness



2. Evaluate the character of two people (or groups/institutions) in the article using two principles from the theory of virtue ethics



3. Discuss the wrongdoing in the newspaper article. Relate your discussion of this wrongdoing to two principles from the theory of deontology.



4. Outline a utilitarian’s response to the newspaper article (2 marks). Refer to at least two principles from this theory



5. Analyse two approaches of governance referred to in the article and critically evaluate two principles of governance that are being compromised

(a)Lim (x⁴-3x²+2x+4)





x->2





(b) lim x²-1/x²-1





x->1





(c) lim 1/x²-4





x->0





(d) lim sin5x/sin7x





x->0





(e) lim 1/x²-4





x->2





(f) lim 1/x²-4





x->2





(g) lim x²-9/x-9





x->3





(h) lim sin2x+sin3x/x





x->0





(i) lim x^½-2/x-4





x->4





(j) lim 3x²+4x+2/6x⁶+3x²+8





x->...

Draw the full decision tree for the parity function of four Boolean attributes,

A, B, C, and D. Is it possible to simplify the tree?


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