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Calculus, EXT1 C2 2020 HSC 13c

Suppose    and  .

The graph of    is given.
 

  1. Show that  .  (4 marks)

  2. Using part (i), or otherwise, show that  .  (3 marks) 

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i.   

♦ Mean mark (i) 50%.
 
 

 

 
 
 
 
 

 

ii.   

♦♦♦ Mean mark (ii) 15%.


 

 
 

Calculus, EXT1 C2 2018 HSC 12c

Let  .

  1. Show that    (1 mark)

  2. Hence, or otherwise, prove
     
    .  (1 mark)

  3. Hence, sketch
     
    .  (1 mark)

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i.   

 

ii. 

♦ Mean mark (ii) 37%.

 
   

 

iii. 

♦ Mean mark (iii) 40%.

 

Calculus, EXT1 C2 2006 HSC 2a

Let  

  1. State the domain and range of the function    (2 marks)

  2. Find the gradient of the graph of    at the point where    (2 marks)

  3. Sketch the graph of    (2 marks)

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  3.  

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i. 

 

ii. 


 

 
 

 

 

iii.

 EXT1 2006 2a