Mathematics · Oct / Nov 2022 · Paper 11 · Question 1
YMA01
As printed in the paper
The question as text
1. The curve C has equation x 3 17 2 y = − x + x > 0 x 4
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
1(a)[3]
d
y
=
...
2
+
...
+
...
−
2
x
x
x
d
x
d
y
3
=
2
−
2
−
17
−
2
x
x
x
d
4
x
1(b)[3]
d
y
3
21
2
2(2) 17(2)
−
2
=
−
−
= −
d
x
4
4
13
21
y
−
= −
"
"(
x
−
2)
2
4
21
4
68
0
x
+
y
−
=
(a)
M1
Reduces the power by 1 on any of the following terms
...
3
...
2
, ...
2
... , ...
1
−
1
...
−
2
2x . The index
x
→
x
x
→
x
x
→
x
. Be careful not to allow just sight of
does not have to be processed for this mark.
3
−
17
A1
Two of
+
2
, 2 ,
−
−
17
x−
2
or exact unsimplified equivalent terms. Accept eg
but the
4 x
x
2
x
−
17
indices must be processed. Double signs eg
+
is fine.
2
x
3
A1
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