2006 HSC Answers (1 Viewer)

[Stop Studying]

whose got copies of 2006 Maths HSc answers if u do plz send them over or post it

 

[pLuvia]

No one has the official answers, but if you need help with any particular questions you are more than welcome to post them up here

 

[PC]

My quick answers (no working or diagrams) were:

Question 1
(a) 0.607
(b) (2x - 1)(x + 3)
(c) Diagram
(d) 18
(e) x ≥ 1/5
(f) 3 1/4

Question 2
(a) (i) x sec²x + tan x
(ii) (x cos x + cos x - sin x)/(x + 1)²
(b) (i) x + 1/7e^7x + C
(ii) 4 ln 10
(c) 6√3x + 6y – 3 – √3π = 0

Question 3
(a) (i) 2x + y – 6 = 0
(ii) D(0,6)
(iii) 13√5/5 units
(iv) 6 1/2 square units
(b) 1 1/12
(c) (i) 339 kg of fruit
(ii) 6.293 t of fruit
(iii) 31st day

Question 4
(a) (i) Angle DAB = 2π/3
(ii) 3√3 m
(iii) 9(√3 + 5π)/4 square metres
(b) 8π cubic units
(c) (i) 5/42
(ii) 5/21
(iii) 16/21

Question 5
(a) (i) Minimum turning point at (0,0), maxmimum turning point at (2,8)
(ii) Point of inflection at (1,4)
(iii) Diagram
(iv) –32
(b) (i) – tan x
(ii) (16 ln 2 – π²)/32

Question 6
(a) Proof
(b) (i) 450 birds
(ii) 9.1 birds per year
(iii) 150 birds
(iv) 36th year

Question 7
(a) (i) a + b = 3, ab = 1
(ii) a + 1/a = 3
(b) (i) x = 2π/3
(ii) Diagram
(iii) (7π + 6√3 + 12)/6 square units
(c) (i) ∆ = (k – 10)(k + 6)
(ii) –6 < k < 10

Question 8
(a) (i) -3/4 m
(ii) 1/7 m/s
(iii) a < 0
(iv) Diagram
(b) (i) $1439.18
(ii) 94 months

Question 9
(a) Vertex (3,–1), Focus (3,2), Focal length = 3 units
(b) (i) 6 seconds and 20 seconds
(ii) V = –1/3 t³ + 13t² + 120t + 1500
(iii) 800 litres
(c) (i) V = 1/3 π (2ax² – x³)
(ii) Maximum volume = 32πa³/81 cubic units

Question 10
(a) –0.044
(b) (i) QL = 2√(6x)
(ii) y = [√6(6 + x)]/√x
(iii) Area ∆KLM = [√6(6 + x)²]/2√x
(iv) If 12 ≤ y ≤ 13, then 2 2/3 ≤ x ≤ 13 1/2
(v) Maximum area is 56 1/3 units

 

[jyu]

whose got copies of 2006 Maths HSc answers if u do plz send them over or post it

General, Mathematics, Ext1, Ext2 exam solutions 2005, 2006

http://www.itute.com/mathline/exams_solutions.html

 

[lyounamu]

PC's answer for 10 iv) is wrong.

That is wrong. There were three possible values of x when you substitute y=12 or y=13 in, namely x = 6, x=8/3 and x = 27/2 but we have to discard x=27/2 because that doesn't make sense.

I reckon the answer is:

8/3 <= x <= 6