Tables 1 to 8 FM

Run around!

1

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

3−1−4 𝑥

𝑦

1

(a) Solve the inequality

(b) Solve the inequality

2

2

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

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

at the point

4

3

(a) Simplify

(b) Simplify

5

Simplify fully6

4

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

the point 7

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

5

If and represent transformations S and T respectively,

describe in words

(i) S

(ii) T

0110

01109

Obtain the values of and such that

Work out the matrix multiplication

10

11

6

Find the values of in the range for which12

13

7

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

Make the subject of15

8

Solve the simultaneous equations16

17

18

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

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

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

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