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NAME: ________________________________________ Date: ________________ HOMEWORK: C1 Question Obtained 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Total/64 A 51 B 45 C 38 D 32 E 26 U 25
NAME:________________________________________ Date:________________ HOMEWORK:C1
Question Obtained
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Total/64
A 51
B 45
C 38
D 32
E 26
U 25
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4
1. (i) Given that y = 5x3 + 7x + 3, find
(a)(3)
(b)(1)
(i) Find (4)
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2
11 3 d .x xx
+
N23490A
testerTypewritten Text(Total 4 marks)
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2. Given that
(a) find
(2)
(a) find
(3)
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d .y x
2
46 , 0,y x x
x=
4 *N23491C0424*
testerTypewritten Text(Total 3 marks)
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3. (a) Show that can be written as
(2)
Given that and that at x = 1,
(b) find y in terms of x.(6)
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23
y =2d (3 )
, 0,d
y x xx x
= >
1 12 29 6 .x x +
2(3 )xx
14 *N23491C01424*
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Question 3 continued
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15
Turn over*N23491C01524*
Q7
(Total 8 marks)
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5
4. Given that
(a) find (2)
(a) find y dx.(3)
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23
62 , 0,y x xx
=
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Q4
(Total 3 marks)
*N20233A0520*
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12
5. The curve with equation y = f (x) passes through the point (1, 6). Given that
find f (x) and simplify your answer.(7)
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12
25 2f ( ) 3 , > 0,xx xx+ = +
*N20233A01220*
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13
Question 5 continued
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Turn over
Q8
(Total 7 marks)
*N20233A01320*
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2
6. Find , giving each term in its simplest form.(4)
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1226 2 d( )x x x+ +
Q1
(Total 4 marks)
*N23557A0224*
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9
7. (a) Show that (4 + 3x)2 can be written as 16 + kx + 9x, where k is a constant to befound.
(2)
(b) Find .(3)
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2(4 3 ) dx x+
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Q6
(Total 5 marks)
*N23561A0920*
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4
*H26107A0424*
8. Given that 0,43 2 >+= xxxy , find (a)
2
2
dd
xy ,
(2)
(a) xy d . (3)___________________________________________________________________________
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testerTypewritten Text(Total 3 marks)
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2
*N25561A0224*
9. Find 3 4 72 5x x x+ d( ) .(4)
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(Total 4 marks)
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2
*H29992A0228*
10. Find .(3)
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___________________________________________________________________________ Q1
(Total 3 marks)
(2 + 5x2) dx
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26
*H29992A02628*
11. The gradient of a curve C is given by
(a) Show that = x2 + 6 + 9x2.(2)
The point (3, 20) lies on C.
(b) Find an equation for the curve C in the form y = f(x).(6)
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d
d
yx
xx
x=+( )
2 2
2
30, .
d
d
y
x
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*H29992A02728* Turn over
Question 11 continued
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*H29992A02828*
Question 11 continued
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TOTAL FOR PAPER: 75 MARKS
END
Q11
(Total 8 marks)
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4
*n30081A0428*
12. Find , giving each term in its simplest form.(4)
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___________________________________________________________________________ Q2
(Total 4 marks)
12 8 +3 d5 3x x x( )
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*n30081A0628*
13. A curve has equation y = f(x) and passes through the point (4, 22).
Given that
use integration to find f(x), giving each term in its simplest form.(5)
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f ( ) ,x x x3 3 721
2 =
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*n30081A0728* Turn over
Question 13 continued
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___________________________________________________________________________ Q4
(Total 5 marks)
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4
*H34262A0428*
14. Given that y xx
x= + 2 3 032
, , find
(a) dd
y
x (3)
(a) y d x , simplifying each term. (3)___________________________________________________________________________
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testerTypewritten Text(Total 3 marks)
Homework Front Sheets C1 8Chap 8 HomeworkChap 8 Integration from 2005 C1 Jan Q2Chap 8 Integration from 2005 C1 Jun Q2Chap 8 Integration from 2005 C1 Jun Q7Chap 8 Integration from 2006 C1 Jan Q4Chap 8 Integration from 2006 C1 Jan Q8Chap 8 Integration from 2006 C1 Jun Q1Chap 8 Integration from 2007 C1 Jan Q6Chap 8 Integration from 2007 C1 Jun Q3Chap 8 Integration from 2008 C1 Jan Q1Chap 8 Integration from 2008 C1 Jun Q1Chap 8 Integration from 2008 C1 Jun Q11Chap 8 Integration from 2009 C1 Jan Q2Chap 8 Integration from 2009 C1 Jan Q4Chap 8 Integration from 2009 C1 Jun Q3
