2. Take the triangle with vertices (0,0). (3,0) and (0,5) and the circle with radius 2 centered at (1,8). (a) Find the centroid of the system of these two areas. (b) Find the volume of the 3-dimensional figure created by rotating this system of two shapes around the line = 7. Use the solution to part (a).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Thank you for any help solving this. Sorry on the two parts, I can't do one without the other though so I have to keep them together

2. Take the triangle with vertices (0,0). (3,0) and (0,5) and the circle with radius 2 centered at
(1, 8).
(a) Find the centroid of the system of these two areas.
(b) Find the volume of the 3-dimensional figure created by rotating this system of two shapes
around the line = 7. Use the solution to part (a).
Transcribed Image Text:2. Take the triangle with vertices (0,0). (3,0) and (0,5) and the circle with radius 2 centered at (1, 8). (a) Find the centroid of the system of these two areas. (b) Find the volume of the 3-dimensional figure created by rotating this system of two shapes around the line = 7. Use the solution to part (a).
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