Soalan / Question 6 y = f(x) B Rajah / Figure 2 Rajah 2 menunjukkan lengkung y =f(x) yang ditakrifkan untuk x > 0. Lengkung tersebut mempunyai titik minimum di A dan melintasi paksi-x di B dan C. Diberi bahawa 189 dx = 2x -dan lengkung itu melalui titik (4,) Figure 2 shows the curve y = f(x) defined for x > 0. The curve has a minimum point at A and crosses the x-axis at B and C. It is given that dy 2x - and that the curve dx 189 passes through the point (4,). 16 a) Cari koordinat-x bagi A. Find the x-coordinate of A. b) Cari f(x). Find f(x). c) Cari koordinat-x bagi B dan C. Find the x-coordinates of B and C. d) Cari luas kawasan berlorek. Find the area of the shaded region.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Soalan / Question 6
y = f(x)
B
Rajah / Figure 2
Rajah 2 menunjukkan lengkung y = f(x) yang ditakrifkan untuk x > 0. Lengkung
tersebut mempunyai titik minimum di A dan melintasi paksi-x di B dan C. Diberi bahawa
= 2x – dan lengkung itu melalui titik
Figure 2 shows the curve y = f(x) defined for x > 0. The curve has a minimum point
at A and crosses the x-axis at B and C. It is given that = 2x – and that the curve
passes through the point (4,).
189
dx
dy
189
16
a) Cari koordinat-x bagi A.
Find the x-coordinate of A.
b) Cari f(x).
Find f(x).
c) Cari koordinat-x bagi B dan C.
Find the x-coordinates of B and C.
d) Cari luas kawasan berlorek.
Find the area of the shaded region.
Transcribed Image Text:Soalan / Question 6 y = f(x) B Rajah / Figure 2 Rajah 2 menunjukkan lengkung y = f(x) yang ditakrifkan untuk x > 0. Lengkung tersebut mempunyai titik minimum di A dan melintasi paksi-x di B dan C. Diberi bahawa = 2x – dan lengkung itu melalui titik Figure 2 shows the curve y = f(x) defined for x > 0. The curve has a minimum point at A and crosses the x-axis at B and C. It is given that = 2x – and that the curve passes through the point (4,). 189 dx dy 189 16 a) Cari koordinat-x bagi A. Find the x-coordinate of A. b) Cari f(x). Find f(x). c) Cari koordinat-x bagi B dan C. Find the x-coordinates of B and C. d) Cari luas kawasan berlorek. Find the area of the shaded region.
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