Describe in words the region in R' represented by the equation y² + z² = 9. A ball A cyllinder A plane. A point a sphere A space between two planes. The exterior of a ball

Q: Find the volumes of the regions. The region cut from the cylinder x2 + y2 = 4 by the plane z = 0 and…

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Q: Find the volume of the solid generated when the region between the lines: x = 3, x = 5, y = 1, y = 3…

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Q: Find the area of the surface given by z = f(x,y) over the region R.   R:  The triangle with…

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Q: find the volumes of the solids generated byrevolving the regions about the given axes. If you think…

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Q: 12. The part of the cylinder x² + z² = 16 that lies between the planes x Find the area of the…

A: We know that if height of a cylinder be h Units and radius be r units then curved surface area of…

Q: find the volume of a solid limited by a cylinder = x^2+y~2=25, by a plane = x+y+z=8

A: Concept: Volume using triple integrals: Let D be a space region that is closed and bounded. Let a…

Q: Find the volume between the cone y = Vx² + z² and the sphere x2 + y² + z² = 25. volume =

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Q: the solids generated by revolving the region bounded by the graphs of the equations about the given…

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Q: Sketch the region enclosed by the given curves. y = 2/x, y = 8x, y = x > 0 y y 6F 5 3 4 3 y 6F 5 3 4…

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Q: find the volumes of the solids generated by revolving the regions about the given axes. If you think…

A: Given: The region in the first quadrant is bounded by x=y-y3, x=1 and y=1 about the x-axis. To find:…

Q: find the volumes of the solids generated by revolving the regions about the given axes. If you think…

A: Given :              The solid generated by revolving the region bounded by                       y…

Q: Determine the area of the region R that lies (between the parabolic curve and the straight line)…

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Q: The base of a solid is the region between the line y = 4 and the parabola y = x'. The cross sections…

A: The base of the solid is the region between the line y=4 and y=x2. The cross sections are the…

Q: Find the volume of the solid bounded by the graphs of the sphere x² + y² +z? =16 and the cylinder…

A: Given solid is bounded by sphere x2+y2+z2=16 and cylinder x+y-22=4 Volume using cylindrical…

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: find the volumes of the solids generated by revolving the regions about the given axes. If you think…

A: y=x12 and y=x28

Q: find the volumes of the solids generated by revolving the regions about the given axes. If you think…

A: First draw the triangle using coordinates 1,1, 1,2 and 2,2.  From the figure, it can be seen that…

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: find the volumes of the solids generated byrevolving the regions about the given axes. If you think…

A: Given y = √x ,  y = 2 ,  x = 0 about the line x = 4

Q: Find the volume of the region bounded above by the elliptical paraboloid z = 6 - 2x² - 2y² and below…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Find the volume of the solid obtained by rotating the region enclosed by y-0, -1, and a- 8, about…

A: Let's find.

Q: 2. Find the volume generated by rotating the given region about specified line. Sketch the region,…

A: A)  Given: x=2y;  x=0, y=4;  about…

Q: find the volumes of the solids generated byrevolving the regions about the given axes. If you think…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: The both the parts are given below

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

A: Given:-                 Use the method of cylindrical shells to find the volume V of the solid…

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A: Use volume of solid of revolution formula for finding the volume

Q: Find the volumes of the solids Find the volume of the solid generated by revolving the regionbounded…

A: We sketch the region using a graphing calculator

Q: The sphere x 2 + y 2 + z 2= 2a 2 and the region inside the cylinder x 2 + y 2 = a 2 Find the volume.

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Q: 1) Volume of Solid of Revolution a) about the y-axis: y = x?, y = 4 (First Quadrant) %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the volume of the region cut from the solid cylinder x^2 + y^2 less or equal to 1 by the sphere…

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Q: A frustum of cone is made by rotating about Ox the area bounded by the lines y=x, x=0, x=a and x=b,…

A: Given: The following graph is obtained as per given data:

Q: Find the volume of the region bounded above by the elliptical paraboloid z = 6 - 2x² - 3y² and below…

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Q: Find the volume of the solid that results when the region show below is rotated about the y-axis. 2…

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Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

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Q: 3. Find the volume of the solid generated when the region bounded by x 2y2, y-axis, the lines y = 3…

A: Sketching the region

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: Answer

Q: Find the volume of the solid generated when R (shaded region) is revolved about the given line. 8- y…

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Q: 8. Find the volume and centroid generated by revolving the given plane area about y=x^3, x=0, y=8;…

A: y=x3,x=0, y=8To Find: Volume and centroid generated by revolving the plane area about y=8.

Q: 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: Find the volume of the solid generated when the region between the lines:    x = 3, x = 5, y = 2, y…

A: I use shell method

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Find the volume and centroid generated by revolving the given plane area about y^2=4x, y=2x-4 ;…

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Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

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Q: 6. Find the volume and centroid generated by revolving the given plane area about y=x^2, y=4x-x^2 ;…

A: Here we find the volume and centroid.

Q: 3. Find the volume of the solid generated when the region bounded by x = 2y2, y-axis, the lines y =…

A: Let's find.

Q: 12. Find the volume of the part of the ball of radius 5 that lies outside the cone K = {(x, y, 2) ;…

A: The radius of the ball is 5 that lies outside the cone K=(x, y, z); 5z≥x2+y2

Q: Find the volume of the solid obtained by rotation of the region enclosed by the graphs of y y = 0,…

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Q: Find the volumes of the solids Find the volume of the solid generated by revolving the regionbounded…

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