10. (a) The figure shows a square lamina of side a with its vertex inclined at an angle 0,050 a line AB, on A Show that the centre of the lamina is at a distance avz sin (0+) from AB. 2 The lamina is rotated completely about the line AB, shows that the volume of the solid generated is VZna sin (e +) (b) Find the greatest common divisor (gcd), t, of 427 and 1037. Hence find the integers and such that 427r + 1037s t. Deduce that 7r + 17s = VE AND THE PREPARING EXCELLENCE SERE

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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10. (a) The figure shows a square lamina of side a with its vertex inclined at an angle 0,0 <0 Splaced on
a line AB,
a
Show that the centre of the lamina is at a distance
av2
sin (0 +
TC
from AB.
The lamina is rotated completely about the line AB, shows that the volume of the solid generated is
TT
V2na3 sin (0 +
(b) Find the greatest common divisor (ged), t, of 427 and 1037. Hence find the integers and such that
427r + 1037s =t.
Deduce that 7r+ 17s
AFO STRVE AND THEPREPARING EXCELLENCE SERE
Transcribed Image Text:10. (a) The figure shows a square lamina of side a with its vertex inclined at an angle 0,0 <0 Splaced on a line AB, a Show that the centre of the lamina is at a distance av2 sin (0 + TC from AB. The lamina is rotated completely about the line AB, shows that the volume of the solid generated is TT V2na3 sin (0 + (b) Find the greatest common divisor (ged), t, of 427 and 1037. Hence find the integers and such that 427r + 1037s =t. Deduce that 7r+ 17s AFO STRVE AND THEPREPARING EXCELLENCE SERE
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