Find the value of y, given the value of x. 11 a) Cari nilai dy dengan nilai x yang diberikan. de de 3x? i) y = x=1 4x-1' ii) y= (x- 2)(3x+1)',x=3

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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11 a) Cari nilai
dy
diberikan.
dengan nilai x yang
de
Find the value of
given the value of x.
de
i) y =
3x?
,x=1
4х-1
ii) y= (x- 2)(3x +1)',x = 3
O) sebuah silinder tegak dibina dengan keadaan hasil tambah jejari tapak dan tingginya ialah 6 cm.
A ight circular cylinder is constructed such that the sum of the radius of its base and its height is 6 cm.
1) Tunjukkan bahawa, V cm silinder itu ialah V = 7(6r? -r'), di mana r ialah jejari tapaknya.
%3D
Show that the volume, V cm of the cylinder is given by V = 7(6r? -r'), where r cm is the radius of
%3D
its base.
II) Seterusnya cari jejari dan tinggi silinder itu supaya isi padunya maksimum. Nyatakan isi padu
maksimum tersebut.
Hence, find the radius and the height of the cylinder which makes the volume a maximum. State the
maximum value.
Transcribed Image Text:11 a) Cari nilai dy diberikan. dengan nilai x yang de Find the value of given the value of x. de i) y = 3x? ,x=1 4х-1 ii) y= (x- 2)(3x +1)',x = 3 O) sebuah silinder tegak dibina dengan keadaan hasil tambah jejari tapak dan tingginya ialah 6 cm. A ight circular cylinder is constructed such that the sum of the radius of its base and its height is 6 cm. 1) Tunjukkan bahawa, V cm silinder itu ialah V = 7(6r? -r'), di mana r ialah jejari tapaknya. %3D Show that the volume, V cm of the cylinder is given by V = 7(6r? -r'), where r cm is the radius of %3D its base. II) Seterusnya cari jejari dan tinggi silinder itu supaya isi padunya maksimum. Nyatakan isi padu maksimum tersebut. Hence, find the radius and the height of the cylinder which makes the volume a maximum. State the maximum value.
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