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Tables 1 to 8 FM Run around!

Tables 1 to 8 FM Run around!

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Page 1: Tables 1 to 8 FM Run around!

Tables 1 to 8 FM

Run around!

Page 2: Tables 1 to 8 FM Run around!

1

Page 3: Tables 1 to 8 FM Run around!

Here is a sketch of where and are constants to be found

3−1−4 𝑥

𝑦

1

Page 4: Tables 1 to 8 FM Run around!

(a) Solve the inequality

(b) Solve the inequality

2

Page 5: Tables 1 to 8 FM Run around!

2

Page 6: Tables 1 to 8 FM Run around!

Work out the coordinates of the two stationary points on the curve3

Page 7: Tables 1 to 8 FM Run around!

Obtain the equation of the tangent which can be drawn to the curve

at the point

4

Page 8: Tables 1 to 8 FM Run around!

3

Page 9: Tables 1 to 8 FM Run around!

(a) Simplify

(b) Simplify

5

Page 10: Tables 1 to 8 FM Run around!

Simplify fully6

Page 11: Tables 1 to 8 FM Run around!

4

Page 12: Tables 1 to 8 FM Run around!

Obtain the equation of a circle which has centre and passes through

the point 7

Page 13: Tables 1 to 8 FM Run around!

Obtain the equation of the line drawn below

𝑥

𝑦

0 1 2 3 4 5 6−4−3−2−1

54321

-1-2-3-4-5

8

Page 14: Tables 1 to 8 FM Run around!

5

Page 15: Tables 1 to 8 FM Run around!

If and represent transformations S and T respectively,

describe in words

(i) S

(ii) T

0110

01109

Page 16: Tables 1 to 8 FM Run around!

Obtain the values of and such that

Work out the matrix multiplication

10

11

Page 17: Tables 1 to 8 FM Run around!

6

Page 18: Tables 1 to 8 FM Run around!

Find the values of in the range for which12

Page 19: Tables 1 to 8 FM Run around!

13

Page 20: Tables 1 to 8 FM Run around!

7

Page 21: Tables 1 to 8 FM Run around!

0 2 4 6 8 10

20

18

16

14

12

10

8

6

4

2

A function is defined as

Calculate the area enclosed by the graph and the -axis

x

xxf

330155

1055330

xxx

14

Page 22: Tables 1 to 8 FM Run around!

Make the subject of15

Page 23: Tables 1 to 8 FM Run around!

8

Page 24: Tables 1 to 8 FM Run around!

Solve the simultaneous equations16

Page 25: Tables 1 to 8 FM Run around!

17

18

Page 26: Tables 1 to 8 FM Run around!

0 2 4 6 8 10

20

18

16

14

12

10

8

6

4

2

0 2 4 6 8 10

20

18

16

14

12

10

8

6

4

2

Page 27: Tables 1 to 8 FM Run around!

0 2 4 6 8 10

20

18

16

14

12

10

8

6

4

2

0 2 4 6 8 10

20

18

16

14

12

10

8

6

4

2

Page 28: Tables 1 to 8 FM Run around!

0 2 4 6 8 10

20

18

16

14

12

10

8

6

4

2

0 2 4 6 8 10

20

18

16

14

12

10

8

6

4

2

Page 29: Tables 1 to 8 FM Run around!

0 2 4 6 8 10

20

18

16

14

12

10

8

6

4

2

0 2 4 6 8 10

20

18

16

14

12

10

8

6

4

2