x = 4y - y^2, x = y; about y = 0. Use cylindrical shell method.

Q: Find the center of mass of a thin plate of variable density  d(x) = 4x2 covering the region bounded…

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Q: )Find volume of body from above Z = 1- y² and below 2 = x² using Triple integration.

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Q: Find  the Volumeof the largest rectangular box lying above the xy-plane, with y less that or equal…

A: considerlength of rectangular box =x width of rectangular box  =yheight of rectangular box =z

Q: shell method

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Q: SET UP ONLY the equivalent iterated triple integral in Cylindrical coordinates that will help in…

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Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 - 3y2, and the…

A: We have to find volume.

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A: To Determine: Find the volume of the solid bounded by x=-4-y-52   ,x=0 is rotated about the x-axis…

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Q: Present a problem with solution solving the centroid of a solid of revolution using the cylindrical…

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Q: find volume of solid 3x^2 ,x=1, y=0 about x axis

A: Consider the region bounded by the curves y=3x2,x=1,y=0 as shown in the figure below: Here, the…

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A: Given: y=x y=x2 Solve the equation y=x and y=x2 for y. y=y2y2-y=0y(y-1)=0y=0,1 Rewrite the…

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A: Topic = Volume

Q: The volume of the solid obtained by rotating the region bounded by y=(x^2), y=3x  about the line y=9…

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Q: y = 3x, y = 0, x = 1

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Q: A solid is generated by revolving the region bounded by y = √ 9 - x2) and y = 0 about the y-axis. A…

A: According to the given information, y=9-x2 and y=0 about the y-axis. The figure is shown below:

Q: 2. Use integration in cylindrical coordinates in order to compute the vol- ume of:

A: Given,       U=x, y, z: 0≤x2+y2≤1, 0≤z≤5-x-y

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Q: Find using spherical coordinates integration zz2 + x2 + y²dzdydx V4-x

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Q: the bollowing homogeneous . Solve dilferential Eq/uatlion du %3D By

A: Given:

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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

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Q: A solid of revolution is formed by revolving about the x- axis the region bounded by the curve y √2x…

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

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Q: What are the differential length, surfaces and volume for Cartesian coordinate system.

A: The question is taken from the Vector Calculus, and we have to give the answer the explanation for…

Q: volume of the ellipsoid

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Q: When we calculate the volume of solid obtained by rotating the region bounded by the curves y = 2x²…

A: Given:       Curves y=2x2                   y=2x and line y=2 Volume of solid V=π∫abfx2-gx2dx

Q: The bounded area generated from the curves y = 1 - x^2 and y = 0 is to be rotated around x = 1. What…

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Q: The triangular region with corners (6,0), (7,0) and (7,3) is rotated about the line x = –1. The…

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Q: Find the valume of the solid generated by revolving the region bounded by y= -2x2 and y= x2 - 3, in…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: 2. The area bound by the curve y = ezr, the y – axis and the line y = 4 is rotated about the line y…

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Q: Assume we wish to to make a right cylindrical can with a bottom and no top, and with a capacity of…

A: Solve it

Q: Describe the cylindrical shell method?

A: Given method is cylindrical shell method.

Q: Find the volumes of the solids generated by revolving the regionsbounded by the lines and curves…

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs…

A: Solution is given below

Q: how can the mass of a solid can be found using triple integrals in rectangular coordinates?

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Q: The center of mass of a lamina of total mass 5 has coordinates (2, 1). What are the lamina’s x- and…

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Q: The volume of the solid obtained by rotating the region bounded by y = 2, y = 2x, about the line = 2…

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Q: Find the volume of the solid under z = V-x² – y' + 17 above the quarter circle inside x +y 4 in the…

A: Volume is a 3-dimensional quantity which describes the amount of space available in solid. Triple…