Soln 2020 HSC.Maths 4U Nsbhs Trial PDF

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Extension 2 Trial Paper...

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11iπ 12

−iπ √ e 12 2 11iπ √ e 2



 −4 −4 36 2 

2 2 3 −1

2



cos 2x + c

i + 4j − 2   4 4  5 −2 

2 2 6 −1

2



sin2 x + c

)2021 )2020 ( 1 . 1+ 2 ω ω





 4  2 3 −3





 1 −1 3 −1  −1 1 3 1

3

3

4  2 3 −3

∫

1 dv 1+v

3

1

∫

3

dx

(∫

x2 x

1

∫



∫

1 dv v(1 + v) 1

(x2

+ 4)(2 − x)

u = 2i + 2j − 3

=

ax + b + x2 + 4

v = i + 2j + 2k

→ → w |2 = |− u |2 + |−

c

−−→ −−→ −−→ CA + CB + CD + CE = 0. 1 1 , , 2 2

iπ 3.

0

n→∞

r=n Σr=1

√

r(n − r) π = n2

k

k

[

ln

(

g − ku g − kvA × g

u − vB +

g ln k

(

g − ku

2

2

(cos x + i sin x)n + n→∞

3 yn+1 yn

1−ω

a−b

)2

+

+

1 +··· + 1 − ω2

(

2b − c b−c

)2

+

(

1

2c − a c−a

)2

π 4 (1 + tan x)n dx 0

n−1

+2

2n−2 − 1 2n−3 − 1 +2 n−2

0

π ( 4

1 1 + tan x

π ( )5 1 4 1 + tan x 0

)n...