2. Find the volume of the solid generated by revolving the region bounded by the curves a = 2/y, a 0, y= 4 about the y-axis.

Q: Find the volume of the solid generated by revolving the region between the y = x² and y = x in the…

A: Different methods are used to determine the volume by revolution. Use proper method and keep in the…

Q: 30 Find the volume of the solid generated by rotating the region bounded by the curve y=(x-2) and…

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Q: 1. Use cylindrical shells to find the volume of the solid generated when the shaded region is…

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Q: Sketch and find the volume of the solid generated when the region enclosed by the curve y = x" + 1,…

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: 1. Find the volume of the solid generated when the region bounded by y = 9- x² and y = 2x +6 is…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The graph of the volume for solid revolution between the curves y = x+1 and y = O around the x -…

A: Plot the lines and determine the area bounded by these lines. Use the area and the rotation about…

Q: b) [ Find the volume of the solid obtained by rotating the region bounded by the curve about the…

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Q: 2. Use the Shell Method to find the volume of the solid generated by revolving the region bounded by…

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Q: 4. Find the volume of the solid generated by revolving the region enclosed by the graphs of y = e* ,…

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Q: 3. Find the volume of the solid of revolution when the region below y = x + 1 and between x = 0 and…

A: 3 We have to find the volume of the solid of revolution when the region below y=x+1 and between x=0…

Q: 6. Find the volume generated by rotating the curve y = e-® about the x-axis on the interval [0, ∞)

A: The given problem is to find the volume of the solid generated by rotating the curve y=e-x about the…

Q: 14. Find the volume of the solid region generated by revolving the region bounded by y = 1-x² and y…

A: Here given, y=1-x2 and y=0, Then 1-x2=0⇒x2=1⇒x=±1

Q: Consider the region bounded by the graph of y2 = (6 – x)2 (1 + x)2 on the interval [o, 1]. Find the…

A: Given: y2=6-x21+x2 To Find: The volume of the solid generated by revolving the region about the…

Q: 1- Find the volume of the solid generated be revolving the shaded region about the given axis. About…

A: The volume of the solid generated when the first given region is revolved around the y-axis is to be…

Q: 1) Calculate the volume of the solid created by rotating the region bounded by y = x² +1 y = -x + 3…

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Q: (#4) Find the volume of the solid bounded by y = 2x, y = 0, and x = 4 rotating on the x-axis:

A: Given a solid is bounded by the curves y=2x , y=0 and x=4 rotating on the x- axis.

Q: 4- Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =…

A: Given curve, y=5x from 0 to 4.

Q: 1)Find the volume of the solid generated by revolving the plane region bounded by the graphs of y =…

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Q: 30 Find the volume of the solid generated by rotating the region bounded by the curve y= (x- 2)° and…

A: We first find the intersection of these two curve

Q: 1) Find the volume formed by rotating the region enclosed by: x = 3y and y³ = x with y ≥ 0 about the…

A: answer is in next step . please give a like!!!

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: Consider the region enclosed by the curves y = x+1 and y = 2x + 1: The volume of the solid generated…

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Q: 2(/ỹ),x = 0, y = 9 Find the volume of the solid generated by revolving the region bounded by x =…

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Q: A region bounded by f(x) = x, y = 1, and x = 4 is shown below. Find the volume of the solid formed…

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Q: 5. Use the shell method to find the volume of the solid obtained by rotating the shaded region about…

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Q: 1. Find the volume of the solid generated when the region bounded by y = 9 - x? and y = 2x + 6 is…

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Q: 1. Find the volume of the solid generated by revolving the region in the first quadrant bounded by…

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Q: 3. Find the volume of the solid that results when the region enclosed by the curves x = = y² and x =…

A: If the region bounded by x=f(y) and x=g(y) on [ a, b], where f(y)≥g(y)is rotated about the y‐axis,…

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

A: Given problem:-  Find the volume of the solid of revolution generated by revolving the region…

Q: 3. Find the volume generated by revolving about the x-axis in the second quadrant under the curve y…

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Q: 4. Find the volume of the solid generated by revolving the region between the y – axis and the curve…

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Q: 2. Find the volume of the solid generated when the region enclosed by the curve y = x² + 1, y = 4x −…

A: To find the volume of the solid generated when the region enclosed by the curves  y=x2+1 , y=4x-x2+1…

Q: 21/ Find the volume of the solid generated by revolving the regic bounded by y = \cos x , y = 0 &…

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Q: 1. a. Find the area of the region bounded by the curves y = x2 – 6x + 13, y = lnx, x = 1 and x = 5.…

A: Refer to the figure shown below:

Q: 19. Find the volume of the solid that results when the region enclosed by = 2y, y = 2, y = 3 and x =…

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Q: 2. Find the volume of the solid generated by revolving the shaded region about the given ах x+ 2y -…

A: I use cylindrical shell method for both Questions

Q: 3) Find the volume of the of the solid that results when the region endosed by the curves y = Vx, y…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1- Find the volume of the solid obtained by rotating the region bounded by the curve y = 4 - r and…

A: The volume of the solid of the revolution of the curve y=f(x) obtained is  Volume=∫abA(x)dx  or…

Q: 5/ Find the volume of the solid generated by revolving enclosed by y=x, y=0, x-1 about 1) y-axis

A: We will answer the first question as we answer only one question at a time. Please resubmit the…

Q: 1. Find the volume of the solid generated by rotating the region bounded by the curves y = x and y =…

A: We have a region bounded by the curves y=x2, y=x2 which is revolved about the line y=-2  The volume…

Q: 2. Consider the region bounded by the y-axis, y = 3x+ 1, and r 4. Find the volume of the solid…

A: Given function are y=3x+1x=4y axisAxis of rotation y=-5

Q: 4. Find the volume of the solid generated by revolving the region bounded by y = x 2 + 2 and y = x +…

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Q: 1. Find the volume of the solid generated by revolving the region bounded by the parabola x =y? and…

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Q: 2. Find the volume of the solid generated by revolving the area bounded by the given curve x + y =…

A: Given: x+y=6, y=3, x=0 for finding the volume, first we draw region bounded by given curve as below

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

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Q: 2. Find the volume for the solid generated by taking the area enclosed by f(x)=cos(x), x=0, x = and…

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Q: 1. Find the volume of the solid that results when the shaded region is revolved about the X - AXIS.…

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Q: 1. Sketch the region enclosed by the curves of y = x² – 2x. y=x+4, x =-2, x = 5 and find the area of…

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Q: 4. Find the volume of the solid generated by revolving the region in the first quadrant bounded…

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