Alevel_C1C2
Alevel_C1C2
Alevel_C1C2
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3.<br />
y<br />
8<br />
7<br />
6<br />
4<br />
2<br />
A (3, 7)<br />
–1<br />
O 1 2 3 4 5<br />
x<br />
(a) A(3, 7) A1<br />
3<br />
2<br />
2<br />
(b) Area = ( 7− y ) dx = ( 7 −( x − 2) − 2 x ) dx = ( x + 2 x + 3)<br />
d x<br />
M2oe<br />
0<br />
3<br />
∫ ∫ ∫ −<br />
0<br />
0<br />
3<br />
3<br />
=<br />
1<br />
−<br />
3 2<br />
( + + ⎤<br />
2<br />
x x 3x = −9+ 9+ 9 = 9units M3 A1 (6)<br />
3<br />
⎦⎥<br />
0<br />
7<br />
4. Area ≈<br />
1<br />
0 + 42 + 2 4 5 + 10 + 16 5 + 24 + 32 5 = 108 5<br />
2 [( ) ( . . . )] . m M3 A1 4<br />
5. y<br />
=<br />
10<br />
x + 1<br />
B1<br />
x 1 1.5 2 2.5 3 3.5 4 4.5 5<br />
y 5 4<br />
10<br />
3<br />
20<br />
7<br />
2.5<br />
20<br />
9<br />
2<br />
Area ≈<br />
05 .<br />
⎤<br />
5+ 5<br />
+ 2 4 +<br />
10<br />
+<br />
20<br />
+ 2. 5+ 20<br />
+ 2 +<br />
20<br />
M3<br />
2 ⎣⎢ 3 3 7 9 11 ⎦⎥<br />
20<br />
11<br />
⎡ ( ) ( )<br />
= 11.03 units 2 (2 dp.) A2<br />
5<br />
3<br />
B4<br />
10<br />
© Oxford University Press 2008<br />
Core C2
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