6. Consider the infinite region in the first quadrant bounded by the y-axis, y = 1, and 1 y = Determine whether the volume obtained by rotating this region about the y-axis is finite or not. If it is finite, find the volume. -3- 2- 0 -1 2

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A:

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A: given that x=-y2+14y+20 and x=y2-28y+216find the volume of the object

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A:

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

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A:

Q: x= y? + 2 R y -4

A:

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A:

Q: The base of a three-dimensional figure is bound by the line x = -2y - 2 on the interval [-4, -1].…

A: From the given information

Q: Find the volume of the region inside both z2 + 4 = x² + y² and x2 + y? + z2 = 16.

A: Given that, z2+4=x2+y2, x2+y2+z2=16 Intersection of both curve is, x2+y2+x2+y2-4=16x2+y2=10 So the…

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Q: 9) Consider the region bounded by the graphs of x-B =0 and x=y² -D a. Solve for the points of…

A: The equation x-B=0 is the equation of a line with the slope as 0 and the x-intercept as B. It will…