i. Produce a graph showing the area under the curve and decide the area bounded by the curve y = 5x2, the x-axis and the coordinates x = 0 and x=L where L is the summation of the first and last digit of your matric number (eg matric no 56790, x= 5+0=5, thus L= 5) ii. If this area is revolved 360° about (i) the x-axis, and (ii) the y-axis, predict the volume of the solids of revolution produced in each case.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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X = 9

b) i. Produce a graph showing the area under the curve and decide the area bounded
by the curve y = 5x2, the x-axis and the coordinates x =
0 and
%3D
x= L where L is the summation of the first and last digit of your matric number
(eg matric no 56790, x= 5+0=5, thus L= 5)
ii. If this area is revolved 360° about (i) the x-axis, and (ii) the y-axis, predict the
volume of the solids of revolution produced in each case.
iii. Determine the coordinate of the centroid of the area.
Transcribed Image Text:b) i. Produce a graph showing the area under the curve and decide the area bounded by the curve y = 5x2, the x-axis and the coordinates x = 0 and %3D x= L where L is the summation of the first and last digit of your matric number (eg matric no 56790, x= 5+0=5, thus L= 5) ii. If this area is revolved 360° about (i) the x-axis, and (ii) the y-axis, predict the volume of the solids of revolution produced in each case. iii. Determine the coordinate of the centroid of the area.
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