Mathematics · May / June 2021 · Paper 11 · Question 1
YMA01
As printed in the paper
The question as text
1. The curve C has equation x 2 4 8 y x = + + − 5 > 0 3 x 3 x
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
1(a)[4]
d
y
3
−
=
...
x
1
+
...
x
+
...
x
−
2
2
d
x
d
y
2
3
8
−
x
2
x
x
−
2
=
−
2
−
d
x
3
3
1(b)[4]
d
y
2
3
8
9
"
−
"
" " 4
"2" 4
" " 4
" 2"
=
× −
×
2
−
×
−
=
d
x
3
3
4
9
4
→−
4
9
4
3
"
"(
4)
y
−
= −
x
−
9
4
x
+
9
y
−
43
=
0
(a)
M1
Reduces the power by 1 on any of the following terms
1
3
−
−
...
x
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