11 a) Cari nilai dy dengan nilai x yang diberikan. dx Find the value of given the value of x. de i) y = 3x2 4ェ-1*=1 ii) y= (x- 2)(3x+1)',x 3 0) Sebuah silinder tegak dibina dengan keadaan hasil tambah jejari tapak dan tıngginya ialah 6 cm. Anght 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 its base. %3D 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.
11 a) Cari nilai dy dengan nilai x yang diberikan. dx Find the value of given the value of x. de i) y = 3x2 4ェ-1*=1 ii) y= (x- 2)(3x+1)',x 3 0) Sebuah silinder tegak dibina dengan keadaan hasil tambah jejari tapak dan tıngginya ialah 6 cm. Anght 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 its base. %3D 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer for 11b) only
Transcribed Image Text:11 a) Cari nilai
dengan nilai x yang diberikan.
dx
dy
Find the value of
given the value of x.
de
i) y =
3x2
4x-1*=1
ii) y= (x- 2)(3x+1)',x = 3
b) Sebuah silinder tegak dibina dengan keadaan hasil tambah jejari tapak dan tıngginya ialah o cm.
A right circular cylinder is constructed such that the sum of the radius of its base and its height is o cm.
1) Tunjukkan bahawa, V cm silinder itu ialah V = 1(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
its base.
%3D
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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