[SPM 2018 Terengganu Add Math Trial Q6 & Q9] Can anyone help? Trial SPM 2018 Terengganu


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[SPM Addmath Trial] 2019 Terengganu Paper 2 (P2) Question 9 (Q9)

[SPM Matematik Tambahan Trial] 2019 Terengganu Kertas 2 (K2) Soalan 9

9 Diagram 9 shows two shaded regions, R and S which are bounded by the line y=8 x, the curve y=9-x^{2} and the x-axis.

Rajah 9 menunjukkan dua kawasan berlorek, R dan S yang dibatasi oleh garis y=8 x, lengkung y=9-x^{2} dan paksi-x.

image

Diagram 9
Rajah 9

(a) Find the coordinates of A . [2 marks]
Cari koordinat A [2 markah]

(b) Calculate
Hitung
(i) the total area of shaded regions. [5 marks]
jumlah luas kawasan berlorek. [5 markah]

(ii) the volume of revolution, in terms of \pi, when the shaded region S is rotated
through 360^{\circ} about the x-axis. [3 marks]
isi padu kisaran, dalam sebutan \pi, apabila kawasan berlorek S diputarkan
melalui 360^{\circ} pada paksi-x. [3 markah]

Answer for Question 9 of SPM Trial Terengganu 2018, part (a)

Part (b)(i)

Part (b)(ii)

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[SPM Addmath Trial] 2019 Terengganu Paper 2 (P2) Question 6 (Q6)

[SPM Matematik Tambahan Trial] 2019 Terengganu Kertas 2 (K2) Soalan 6

6 Alif and Aiman each were given a piece of wire. The wire is to be bent into several parts
with the length of the longest part is y \mathrm{~cm} and the length of the next part is decreased by
d \mathrm{~cm} consecutively, as shown in Diagram 6 .

Alif dan Aiman masing-masing diberi seutas dawai. Dawai itu dibengkokkan kepada
beberapa bahagian dengan bahagian terpanjang, berukuran y \mathrm{~cm} dan panjang bahagian berikutnya dikurangkan sebanyak d \mathrm{~cm} secara berturutan, seperti yang ditunjukkan pada Rajah 6 .
image

Diagram 6 / Rajah 6

Alif 's wire, with the length of 738 \mathrm{~cm}, is to be bent into 9 parts while Aiman’s wire
with the length of 986 \mathrm{~cm}, is to be bent into 17 parts.
Dawai Alif sepanjang 738 \mathrm{~cm} perlu dibengkokkan kepada 9 bahagian manakala dawai Aiman sepanjang 986 \mathrm{~cm} perlu dibengkokkan kepada 17 bahagian.

Calculate
Hitung
(a) the value of y and of d, [3 marks]
nilai y dan nilai d, [3 markah]

(b) which part has the length of 46 cm? [2 marks]
bahagian ke berapa berukuran 46 cm? [2 markah]

(c) the difference in length of the last part of both wire. [2 marks]
perbezaan panjang bahagian terakhir kedua-dua utas dawai itu. [2 markah]

Answer for Question 6 (Progression) of Terengganu 2018

Part (a)

Part (b)

Part (c)

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