y = 10 cos x %3D 10 The roof of a silo is made by revolving the curve the y axis, as shown in the figure. from x = -5 m to x = 5 m about The surface area, S, that is obtained by revolving a curve y = f(x) in the domain from a to b around the s = 27 ["xT+[S'(x}}° x/1 +[f'(x)]² dx %3D axis can be calculated by: Calculate the surface area of the roof with the following integration methods: (a) Simpson's 1/3 Rule. (Divide the whole interval into eight subintervals) (b) Simpson's 3/8 Rule. (Divide the whole interval into nine subintervals)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Answer letter B only.
10 cos
10t
from x = -5 m to x = 5 m about
y
%3D
The roof of a silo is made by revolving the curve
the y axis, as shown in the figure.
The surface area, S, that is obtained by revolving a curve y = f(x) in the domain from a to b around the y
S = 2n ["x/1+[S'(x)]* dx
axis can be calculated by:
Calculate the surface area of the roof with the following integration methods:
(a) Simpson's 1/3 Rule. (Divide the whole interval into eight subintervals)
(b) Simpson's 3/8 Rule. (Divide the whole interval into nine subintervals)
Transcribed Image Text:10 cos 10t from x = -5 m to x = 5 m about y %3D The roof of a silo is made by revolving the curve the y axis, as shown in the figure. The surface area, S, that is obtained by revolving a curve y = f(x) in the domain from a to b around the y S = 2n ["x/1+[S'(x)]* dx axis can be calculated by: Calculate the surface area of the roof with the following integration methods: (a) Simpson's 1/3 Rule. (Divide the whole interval into eight subintervals) (b) Simpson's 3/8 Rule. (Divide the whole interval into nine subintervals)
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