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7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
1/13
Sttr
c,k
utr-
1. A
curve
C
has the
equation
x3
+2xy-x-y3
-20:o
(a)
Find
9Z
in terms of
x
andy.
dx
(b)
Find an equation
of the
tangent
to
C atthe
point
(3,
_,2),
giving
y
form ax
+
by
+
c:0,
where
a,
b
a,.d
c
are
integers.
g.
1*t*'#*zg-\-jf*=o
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
2/13
2.
Given
that
the binomial
expansion
of
(1
+
kx)-|,
I
k'
l
'
1,
i'
l-6x+Axz-t...
(a)
find
the
value
of
the constant
k,
(b)
find
the
value
of
the constant
A,
givingyour
answer
in
its
simples
MtPuS'
2
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
3/13
3.
Figure
1
Figurel
showsasketchofparlofthecurvewithequation
y-
10-
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
4/13
(A=\
,t3
:("4 tr=
Ay-
-__
_,_,--,------- t_
b
t12
t
l
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
5/13
4.
Figure
2
A
vase
with
a
circular
cross-section
is
shown
in Figure
2.
Water
is
flow
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
6/13
5.
Figure
3
Figure
3 shows
a sketch
of
the
curve
C
with
parametric
equations
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
7/13
-6 -;
tt
S r n
1k-
-:)--e-S-
t:* rrtt--
q-.f-Tz--
-
?
tu-
=3tl=Jl ef
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
8/13
6.
(i)
Find
(ii)
Find
tr"o.
a*
1
2
,(iii)
Given
that
y
:
.2
u,
x
:
0,
soive
the
differential
equation
dv
d,
:
t'cosec'lY
cosec)"
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
9/13
7.
Figure
4
shows a
sketch
of parl of
the
curve
C
with
parametric
equation
Figure
4
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
10/13
IFo
+
a*:@
e
t{
"_II l"_ _b'( Elgl
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
11/13
/-r\
8.
Relative
to a
flxed origin
O,
the
point Ahas
positio,
,..,".
I
;
I
IrJ
/-r\
and
the point B
has
position
u..ro,
|
,
I
[-J
The
line
/,
passes through
the
points
A ar:d
B.
(a)
Find
the
vector
Ai.
(b)
Hence
flnd
a vector
equation
for the
line
/,
ro)
The
point
P
has
position vector
2
I
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
12/13
7/21/2019 Edexcel C4 - June 2014 Model Answers by FAHIM
13/13
-
fuJ0-:
:.
h