9. Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the curves y = y = 0, x = 0, and x = 3. x2 + 9

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: 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: 2. Determine the volume of the solid obtained by rotating the region bounded by y = 4x and y = x³…

A: The volume of revolution of the area bounded by the curves y1=f1(x) and y2=f2(x)  between the limits…

Q: 9. Find the volume of the solid generated by revolving the triangular region bounded by the lines y…

A: Consider the triangular region bounded by the lines  y=2xy=0x=1 To find: the volume of the solid…

Q: Find the volume of the resulting solid if the region under the curve 6 y = 2 x + 3x + 2 from x = 0…

A: To the  find volume.

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

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Q: Find the volume of the solid formed when the region bound by y = e* + 3, x = 0, x = 3 and the x-axis…

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Q: 1. Consider the region bounded by y = x and y = vVa, shown below. Find the volume of the solid…

A: Volume=13π15 cubic units

Q: What is the volume of solid of revolution between the curves y=x+1 andy 0 around the x-axis on…

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Q: 5. Use the method of Washers and Shells to find the volume of the solid generated when the region R…

A: Given:

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

A: Given that y=ln x, y=1, y=2, x=0 find the volume about y-axis V=π∫12x2 dy

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: 3. Find the volume of the solid whose base is the region in the first quadrant between the curve y=…

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Q: b) : Find the volume of the solid obtained by rotating the region bounded by the curve y = -x² + 11…

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Q: 2. Find the volume of the solid generated by rotating the region bounded by the curves y = Vx y = x…

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Q: 6. Consider the region created by revolving y = 4 +x, y = 3 – x, x = 0, and x = 2 about the y -axis.…

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Q: 2. Find the volume of the solid generated by revolving about the x – axis the region bounded by the…

A: Topic = Volume

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

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

A:

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

A:

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

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

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: 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: 12. Consider the region R bounded by the line y = 37 – 7x and the parabola y = 27 – x² . %3D Find…

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Q: 1. Use your preferred method to calculate the volume of the solid obtained by revolving the region…

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Q: 3. Find the volume of the solid obtained by rotating the region bounded by the curve y = x + 1, y=0,…

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Q: Ex/ Find the volume of solid generated by revolving the region enclosed by x = y² and x =y %3D 1-…

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Q: 5. Find the volume of the solid of revolution formes by rotating the finite region bounded by curves…

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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: For the region bounded by the curves y = x2 + 1 and y = 3 – x², find the following: 1. The area of…

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Q: 4) (6.) Find the volume of the solid formed from the region between y = e*, y = 0, x = 0, x = 1…

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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: 4) Calculate the volume of the solid E bounded by the parabolic cylinders 2 = y? – 5 et z = 4 – x².

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Q: Calculate the volume of the infinite solid obtained by rotating the region under y = (x2 + 1) −2 for…

A: Use shell method and find the volume.

Q: 3. Find the volume of the resulting solid of revolution located in the first quadrant bounded by the…

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Q: Find the volume of the solid of revolution generated by revolving y = (e^−x) + 2around the x-axis…

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Q: 6. Find the volume of the solid obtained when the region bounded by y ==, y = 0,x = 1, and x = 2 is…

A: As per the our guideline, we are supposed to solve only first question. Kindly repost other question…

Q: 4. Find the volume of the solid obtained by rotating the region bounded by y = e", y = 0, x = -1, x…

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Q: 9. Find the volume of the solid generated by revolving the region bounded by the lines and curves y…

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Q: 15. Find the volume of the solid obtained by rotating the region bounded by xy = 4 and y = (x – 3)…

A: Given :  xy=4  and  y=x-32. Therefore, x-32=4x⇒xx2-6x+9=4⇒x3-6x2+9x-4=0⇒x-12x-4=0Therefore, x=1 ,…

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: Q2: Find the volume of the solid generated by revolving the region between the curve y = x and the…

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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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