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Selesaikan persamaan serentak berikut

2y+x= 7

y(1x) = 3y2+ 2.

Give your answers correct to three decimal places.

Berikan jawapan anda kepada tiga tempat perpuluhan.

[5 marks/5 markah]

Answer/Jawapan:

2. Solve the simultaneous equations 2 24 1 0 6x y and x y xy

Selesaikan persamaan serentak

[5 marks/5 markah]

Answer/Jawapan:

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3.

Solve the simultaneous equations 5x + y = 6andx - x = y10

Selesaikan persamaan serentak 5x + y = 6 and x - x = y

10[5 marks/5 markah]

Answer/Jawapan:

TAJUK : DIFFERENTIATION

TINGKATAN : 4

1. A curve has a gradient function34x px , where p is a constant. The tangent to the curve at

the point (2,5) is perpendicular to the straight line 8 1x y .

Suatu lengkung mempunyai fungsi kecerunan34x px , dengan keadaan p ialah pemalar. Tangen

kepada lengkung pada titik (2,5) adalah berserenjang dengan garis lurus 8 1x y .

Find / Cari

(a) the value of p ,nilai p , [4 marks]

[4markah](b) the equation of the curve.

persamaan lengkung itu. [3 marks][3 markah]

Answer / Jawapan:

(a) 12p

(b)4 26 13y x x

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2. The curve3 2

y px qx r , where ,p q and rare constant, has a gradient function

6 ( 1)x x and passes through the point (2,9) .

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Lengkung3 2

y px qx r , dengan keadaan ,p q dan rialah pemalar, mempunyai suatu fungsi

kecerunan 6 ( 1)x x dan melalui titik (2,9) .

Find / Cari

(a) the value of ,p q and r,nilai ,p q dan r,

[5 marks][5 markah]

(b) the turning points of the curve.

titik-titik pusingan lengkung itu.[3 marks][3markah]

Answer / Jawapan:

(a)

2

3

5

p

q

r

(b) (0,5) dan (1, 4)

FORM : 5

TOPIC : TRIGONOMETRIC

1.(a) Sketch the graph of 3cosy x for 0 2x

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Lakarkan graf 3cosy x for 0 2x

(b) Hence, by using the same axes, sketch a suitable graph to find the number of solution to

the equation2

3cos 0xx

for 0 2x . State number of solutions.

Seterusnya pada paksi yang sama, lakarkan garis lurus yang bersesuaian dan cari

bilangan penyelesaian bagi persamaan2

3cos 0xx

for 0 2x

2.

(a) Sketch the graph of 3sin2y x for 0 2x

Lakarkan graf 3sin2y x for 0 2x

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(b) Hence, by using the same axes, sketch a suitable straight line to find the number of

solution to the equation 2 3sin 22

xx

for 0 2x

Seterusnya pada paksi yang sama, lakarkan garis lurus yang bersesuaian dan cari bilangan

penyelesaian bagi persamaan 2 3sin 2 2

x

x for 0 2x

2 a) 1 ( shape)

1(max/min)

1(oneperiod)

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x

y

1(complete

from 0 to

2 or360o)

1(for line

2y

x

b) 23cos 0x

x

20y

x

2y

x

1

Number of solution =21

3 1 ( shape)

1(max/min)

1(one

period)

1(complete

from 0o

to 2 )

1( for the

straight

line)

2 3sin 22

xx

22

xy

22

xy

1

Numbers of solutions= 8

1

x

y

3cosy x

2y

x

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