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# 1. The graph of a function of the form y = p cos qx is given in the diagram below. (a) Write down the value of p.

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(1)

(2)

## (b) Calculate the value of q.

(4) (Total 6 marks)

y

x 3

2

1

0

–1

 2

(Total 6 marks)

(2)

(6)

## (b) The equation y = k has exactly two solutions. Write down the value of k.

(1) (Total 7 marks)

(1)

(3)

## (c) Write down the number of solutions to the equation g (x) = 2, for 0  x  2.

(2) (Total 6 marks)

(3)

(Total 4 marks)

(Total 6 marks)

(4)

(7)

(2)

(4)

## graph of f.

(3) (Total 16 marks)

(5)

(3)

(3)

(4)

(6)

## Find the value of a, the value of b and the value of c.

(Total 4 marks)

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