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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

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
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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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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