H2 Maths 2016 Paper 2 Answers - · PDF fileH2 Maths 2016 Paper 2 Answers (By Wee WS)...
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H2 Maths 2016 Paper 2 Answers (By Wee WS) wenshih.wordpress.com Q1 0.0251 m/min Q2(a)(i) 2 2 3 1 2 2 sin cos sin x nx x nx nx c n n n - + (ii) 2 a = when n is even; 6 a = when n is odd (b) 2 1 5 ln 5 2 9 π + Q3(i) x-intercepts: ( ( 1,0 , 2 1, 0 π - - max point: ( 1, 2 π + (ii) 2 1 1 cos sin sin 2 a a a a + - - - (iii) ( 29 2 1 1 4 π Q4(a)(ii) 2 5 3 1 i 29 29 - + + and 2 5 3 1 i 29 29 + + - (b)(i) 3 i 2 4 2e w π - = ; cube roots are 1 i 2 12 2e π - , 1 7 i 2 12 2e π , 1 3 i 2 4 2e π - (ii) Smallest 7 n = Q5(i) 11 42 (ii) 4 11 (iii) 4 1029 Q6(i)(a) 60 (b) 10 (iii) { } : 34.8 x x + ∈ ≤ ℝ (iv) { } : 8.68 α α + ∈ ≤ ℝ Q7(i) 24 (ii) 576 (iii) 1 12 (iv) 5 12 Q8(i) (3, 87.4) is the wrong point. (iii) 0 c < , 0 d > (iv) 0.980 r =- , 17.5 c =- , 91.8 d = (v) 85.9 y = % Q9(a) 7.41 (b) 0.166 or 0.599 (c) 0.792 Q10(ii) 0.442 (iii) 0.151 (iv) 0.800 (v) 1.85
Transcript of H2 Maths 2016 Paper 2 Answers - · PDF fileH2 Maths 2016 Paper 2 Answers (By Wee WS)...
H2 Maths 2016 Paper 2 Answers (By Wee WS) wenshih.wordpress.com Q1 0.0251 m/min
Q2(a)(i) 22 3
1 2 2sin cos sinx nx x nx nx c
n n n+ − +
(ii) 2a = when n is even; 6a = when n is odd (b) 2 1 5
ln5 2 9
π +
Q3(i) x-intercepts: ( ) ( )1, 0 , 2 1, 0π− − max point: ( )1, 2π +
(ii) 211 cos sin sin
2a a a a+ − − − (iii) ( )21
14
π +
Q4(a)(ii) 2 5
3 1 i29 29
− + +
and 2 5
3 1 i29 29
+ + −
(b)(i) 3
i2 42 ew
π−= ; cube roots are
1i
2 122 eπ−
, 1 7
i2 122 e
π
, 1 3
i2 42 e
π−
(ii) Smallest 7n =
Q5(i) 11
42 (ii)
4
11 (iii)
4
1029
Q6(i)(a) 60 (b) 10 (iii) { }: 34.8x x+∈ ≤ℝ (iv) { }: 8.68α α+∈ ≤ℝ
Q7(i) 24 (ii) 576 (iii) 1
12 (iv)
5
12
Q8(i) (3, 87.4) is the wrong point. (iii) 0c < , 0d > (iv) 0.980r = − , 17.5c = − , 91.8d = (v) 85.9y = %
Q9(a) 7.41 (b) 0.166 or 0.599 (c) 0.792 Q10(ii) 0.442 (iii) 0.151 (iv) 0.800 (v) 1.85
