B): write the limits of integration of the following to find the volume of the shown solid: a) f dzdydx b) SIj dzdxdy (o, 0, 1) (0, 1, 0) (1,0,0)

Q: The volume generated when the region bounded by y = x, y = 1, x = 0 is rotated about x axis is -

A:

Q: Find the volume of the solid of revolution generated by revolving the region bounded by x = 1, x =…

A: Consider the graph:

Q: 2. Find the volume of solid generated by revolving the area bounded by x=y2+2, x=0 and y=2 sbout: a)…

A: Given problem:- Find the volume of solid generated by revolving the area bounded by x = y2 + 2 , x =…

Q: Show by integration that the volume V of a right circular cylinder with base radius r and height h…

A:

Q: Let R be the region bounded by y = 9 – x and y = 2x+ 6 find the volume %D generated when R revolved…

A:

Q: A/ Find the volume generated by revolving the area bounded by x = y-1 and y =5 around the x-axis?

A: We will find out the volume of solid of revolution by shell method.

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

A:

Q: use shell methed to the volume by rotating the region under y=x 0ver [1,4] about X= -3.

A:

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2 + 1, y =…

A:

Q: Find the volume generated by revolving the area bounded by y = 1 - x³, OX and OY about the x-axis.

A:

Q: Find the volume generated by revolving the area bounded by y=ex, x=0 and y=0 about the y-axis.

A:

Q: 2. Find the volume of solid generated by revolving the area bounded by x=y²+2 , x=0 and y=2 sbout:…

A: Solution is here

Q: Find the volume of the solid of revolution formed by rotating each bounded region about the x-axis.…

A: Given:        f(x) = 1 - x ; x = 0 , y = 0    To find the volume of the solid of revolution…

Q: Find the volume of the solid generated when the region enclosed by y = -√√x + 1, y = 0, and x = = 2…

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Q: What is the volume of the solid generated by revolving about the x-axis, the region bounded by y =…

A:

Q: What is the volume in the first octant bounded by x² + y – 4 = 0 and z = x. Use a triangular…

A:

Q: Find the volume of the solid generated by revolving the triangular region bounded by the lines y =…

A: Draw the situation first.When it rotates around x=1 then the radius =1-xy=2x is givenSo,x=y/2

Q: Find the volume generated by rotating the area bounded by y = ,* = 2, x = 7, and y = 0 about the y…

A: The solid obtained by rotating the region between the grah of fx and the x-axis from x=a to x=b…

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

A: Volume by definite integral

Q: b) Determine the volume of the solid generated by rotating the region bounded by y = V2x and y =…

A: We have given the curves

Q: The volume of the solid obtained by rotating the region enclosed by y = x", y = 6x, about the line y…

A: First sketch the curves then use method of disc to get the volume of solid obtained.

Q: Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = x^2,…

A:

Q: Find the volume of the solid generated by revolving about the line x = 2, the area bounded by y =…

A: The equation of the curves are  C1: y = x2C2: x= 2C3: y = 0 The axis of the revolution is x = 2 To…

Q: Find the volume of solid generated by revolving the area enclosed by: x = y2 + 1, x=0, y=0 and y=2…

A:

Q: Find the volume of solid generated by revolving the area bounded by : y=x^2+1, x=0, y=0 and x=2…

A: Given: y=x2+1 To find: y=0 x=2 y=5

Q: What is the volume in the first octant bounded by x2 = 16 – y and z + y = 16.

A: Given curves are

Q: Determine the volume of the solid of revolution which is formed when the area bounded by x = -4.5, x…

A:

Q: Find the volume of R using shell method, when R is bounded by y = √x - 2, y = 0 and x = 4 about the…

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Q: What is the volume in the first octant bounded by x2 + y − 4 = 0 and z = x. Use a triangular…

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Q: Find the volume of the solid which is (a) bounded by x+ y+z = 4 in the first octant.

A: As per our guidelines we are supposed to solve only one question. For the solution follow the next…

Q: Find the volume of solid lying in the first octant bounded by the graphs of : z = 4-x2-y2, y= 2-2x2,…

A:

Q: Determine the volume obtained by rotating the area enclosed by y = x(4 – x) and y 0 about the line x…

A:

Q: Determine the volume of the solid of revolution which is formed when the area bounded by x = 1.32, x…

A: The given function is: f(x)=tanh x

Q: The volume of the solid obtained by rotating the region enclosed by y = x², Y = 2x, about the line y…

A:

Q: The area enclosed by y = 4x - x^2 and 2y = 2x + x^2 is revolved about the line x = -1. Using a…

A:

Q: Find the volume obtained by rotating the area bounded by y=x^4 and y=1 around the line y=8

A: Graph y = x4, y = 1 and y = 8 to find the boundary points as follows.

Q: Find the volume of the solid of revolution when the region bounded by y = x + 1, the x – axis, and…

A: Recall: Shell method,  V=2π∫abr(x)h(x)dx We have, a=0, b=2, r(x)=3-x, h(x)=x+1

Q: What is the volume of the solid R bounded by the x- axis, x = 2, and y = x2 when R is revolved…

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Q: Area bounded by y2 = x and x – y – 2 = 0, revolve about x = -1

A:

Q: Find for the volume of the solid generated by revolving the region bounded by у %3 3 х?, у%3D0 аnd x…

A: Let,s find the curve and the bounded region The yellow color is mention the bounded region

Q: The volume of the solid obtained by rotating the region enclosed by y = x², y = 3x, about the line y…

A: Given: y=x2 ; y=3x   Now find the point of intersection between the curve and line;…

Q: use a theorem of Pappus to find the volume generated by revolving about the line x = 5 the…

A: “Pappus’s theorem for volumes:

Q: Find the volume of the solid generated when the region bounded by y = x2and y2 = x is revolved about…

A:

Q: . Find the volume bounded by z = 9 –x² – y² and z = 0. Give a numerical %3D answer.

A: Given that the region is bounded by z=9-x2-y2 and z=0. We know that the volume bounded between…

Q: Find the exact volume of the solid whose region is bounded by y = 2 a + 2, y = 0, x = 3 and x =…

A: Given data : y=2x+2 , y=0x=3 , x=4

Q: Express as an iterated integral the volume of the solid in the first octant bounded by the…

A:

Q: Area bounded by y2 = x and x – y – 2 = 0, revolve about y = -1

A: Given curves are                                             y2=xx-y-2=0 revolved about…

Q: Find the volume generated by revolving the area bounded by   xy=4, x=1, x=4 and the x-axis about the…

A:

Q: Find the volume of the solid that results when the region bounded by y = x and y = x², from x = 0 to…

A: