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This is answers for H2 Mathematics (9740). H2 Mathematics (9758), click here.
Numerical Answers (click the questions for workings/explanation)
Question 1: 
; 
Question 2: 
or 
Question 3: 2
Question 4: 
; translate the graph 4 units in negative y-direction and translate the graph 2 units in positive x-direction.
Question 5: 
; 
; 
or 
Question 6: 
Question 7: 
Question 8: 
or 
; 
; 
Question 9: 
; 
; 
; 
; 
Question 10: 
; 
; 
Question 11: 
; 
; 
or 
is non-zero, 
be the preposition “
” for all 
is true.
is true for some 
, 
is true
![= 2 - \frac{1}{2^{k+1}} [ 2(k+2) - (k+1)]](http://theculture.sg/wp-content/ql-cache/quicklatex.com-ffff795cc9c4351fef080b8676f03ad2_l3.png "Rendered by QuickLaTeX.com")
RHS
is true, 
for all 
and 
—(1)
—(2)
—(3)
is a strictly increasing function with no stationary point. Thus, it can only have one real root.
is the displacement of the plane from Origin.
, line is not parallel to plane, the solution represents the point of intersection between the line and plane.
![= \Bigg[ x \frac{e^{-ax}}{-a} \Bigg]_0^{N} - \int_0^N (1) \frac{e^{-ax}}{-a} ~dx](http://theculture.sg/wp-content/ql-cache/quicklatex.com-14aa7eee149cdb44f9644949e8b6051a_l3.png "Rendered by QuickLaTeX.com")
![= N \frac{e^{-aN}}{-a} - \Bigg[ \frac{e^{-ax}}{a^2} \Bigg]_0^{N}](http://theculture.sg/wp-content/ql-cache/quicklatex.com-d59f5818140d1b3e40733aa68b9ffc58_l3.png "Rendered by QuickLaTeX.com")
or 
—(1)
—(2)
are real, 
is a root 
is also a root.![[w - (1+i)][w-(1-i)] = w^2 - 2w + 2](http://theculture.sg/wp-content/ql-cache/quicklatex.com-eb3f4e70d0ce4bc0e03391bb23444f32_l3.png "Rendered by QuickLaTeX.com")
![U_n = An^2 + Bn -[A(n-1)^2 + B(n-1)]](http://theculture.sg/wp-content/ql-cache/quicklatex.com-753663c18d8c7637cccd57794dead32e_l3.png "Rendered by QuickLaTeX.com")
—(1)
—(2)
![\sum_{r=1}^n r^3 = \frac{1}{4} \sum_{r=1}^n [r^2(r+1)^2 - (r-1)^2 r^2]](http://theculture.sg/wp-content/ql-cache/quicklatex.com-0bfe15349c894ae89df2cf064acb11a6_l3.png "Rendered by QuickLaTeX.com")
for some 
and 
—(1)
—(2)
—(3)
for some 
gives minimum 
.
m.
, where 
is an arbitrary constant.
,
, where 
is an arbitrary constant.
.
,
Relevant materials
KS Comments
To be honest, this paper is really the same as the H2 Mathematics (9758). They just rephrased everything. You can see for yourself here.
[…] Paper 1 […]
[…] This is answers for H2 Mathematics (9758). H2 Mathematics (9740), click here. […]
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hello there are no answers 🙁
hi for Q10(ii) would it be sufficient to explain that for both P and Q do not lie on line L hence they are both not points of intersection, PRQ will never be 90degrees?
vectors need not intersect to be perpendicular actually.
Hello, got a quick question! For q6(ii) i remembered my teacher specifically saying r.n = d the ‘d’ is simply a constant with no meaning… so shouldnt displacement of plane from origin be d/(n^)?
Thanks!
yes. but n is given to be a unit vector.. it gives a lot of meaning then
Hi, according to the 9740 papers, may I know what are ur thoughts on the expected range of grade to score A grade? Is 70 marks overall for Ppr 1 & 2 guarantee an A?