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Mathematics Clinic => Calculus => Topic started by: strangeaffliction on May 26, 2021

Title: Find the centroid of the planar region bounded by y = , y = 0, x = 1, and x = 2.
Post by: strangeaffliction on May 26, 2021

Question 1

Find the volume of the solid ring obtained by rotating the disc x2 + (y - 7)2 = 9  about the x-axis.
◦ 112π2  cubic units
◦ 169π2  cubic units
◦ 126π2  cubic units
◦ 144π2  cubic units
◦ 196π2  cubic units

Question 2

Find the centroid of the planar region bounded by y = ,  y = 0, x = 1, and x = 2.
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Title: Find the centroid of the planar region bounded by y = , y = 0, x = 1, and x = 2.
Post by: komodo7 on May 26, 2021

Answer 1

126π2  cubic units

Answer 2