What is the volume of the 3D region obtained by rotating the following 2D region around the y-axis 360⁰. 2D region - the region bounded by y=x, y=2-x and the y-axis. 27 3 O K|2 O K|3 8п 3

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A: Given curves  y= 2x+x  y=x+2

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A: is the region bounded by the axis and the parabolas  and

Q: Find the Centroid of the shaded area y -30– 30 15

A: Lets draw co-ordinates in the figure as such: Also lets guess mass-density per unit area is unit.

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A: Answer

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Q: Find the area of the shaded region. 44) 2) (II/4, 2) TE: II II 2 311 4 y = 2 y = csc²x X

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A: Option(4) is true

Q: Find the volume of the region bounded by z = 156 - y, z = y, y = x², and y = 78 - x². (Use symbolic…

A: The region is bounded by  and .We have to find the volume of the region.

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Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: 3. Region R is a first quadrant region bounded by f(x) = x?, the y axis and the line y = 4. The…

A: Use volume formula

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A: Solved below

Q: the infinite region in the first quadrantbetween the curve y = e-x and the x-axis. Find the centroid…

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