Find the area of the surface generated by revolving x = 2/4-y , 0sys3 about the y-axis. 3. (2,3) x=2V4-y The area is (Type an exact answer, using n as needed.) 4

Q: Q. 3 The solid of revolution obtained by rotating the region under the curve y = f(x), a sx sb,…

A: Formula: uv'=uv'+vu' Formula: sin x'= cos x The given function is: f(x)=x sin x, 1≤x≤2 The surface…

Q: (a) Find the region enclosedR by the curves y = x2 – 2x +1 and y = -x² + 2x +7. (b) Use shell method…

A: Area and volume

Q: 3. Setup the integral that will solve for the volume inside the sphere x² + y² + z² = 2z and above…

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Q: Q2: Find the volume of the region bounded below z = 6 - x, above z = -Vx² + y², inside the cylinder…

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Q: 2. Find the volume of the solid formed by the region inside the sphere x2 + y² + z² = 16 and outside…

A: Here we have to find the solid volume formed by the region inside the sphere x2+y2+z2=16 and outside…

Q: Q.4. Find the volume of the solid that results when the region enclosed by the curve y3sinx, y = x…

A: Volume problem....

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e 3x. (Use…

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Q: Find the surface area of the solid obtained by revolving the curve y = sin3 t, x = cos3t about the…

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Q: y = 3cos(x/2) the y axis and the x axis in the 1st quadrant revolved about the x-axis.

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Q: 13. The area bounded by the hy perbola Xo-y? -q², the x-axis , x : 2a revoly es about Ox 2 and…

A: There needs some restriction on a, Also the region may be either first quadrant or fourth quadrant.

Q: Q.6 Find the volume of the solid generated by revolving the loop of the curve y =x(2-x) about the x-…

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Q: 15. a) Sketch the region enclosed by the linex = 3 and y = 1 and the curve xy = 9, %3D and find its…

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Q: (6) Find the volume of the solid obtained by revolving the region between y = y = e¬¤ for 0 <x < ÷…

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Q: A solid is formed by rotating the area bounded by z+y 6 and y r about the line y=-3. Using washer…

A: A solid is formed by rotating the region bounded by x2+y=6 and the line y=x about the line y=-3. The…

Q: Q/ Find the Surface area generated by revolving y = 1 - 2² around the y-axis, ?0 <x <1 where

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Q: 20 4 18 16- 14 12- 10- Y = (x- 2)4 6 - 21 2. 3, 00 4.

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 5 9…

A: Use formula of area of surface generated about y axis

Q: Find volumc of the solid gcncrated the by revolving about the y-axis the region in 4y-y and 4-y x =

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Q: Jse the cylindrical shell method to calculate the volume of the solid Formed by rotating the graph…

A: Please refer to the image below

Q: Using the shell method, the volume of the body resulting from the rotation of the specified region…

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Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x + y2 =…

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Q: 4. Find the exact value of surface area of the solid that is described by the intersection of the…

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Q: 2.) y^2-8x-8y+8=0     a. Find the area bounded by this curve and its latus rectum

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Q: 63 Find the area of the surface generated by revolving x= 4/4-y, 0sys about the y-axis. x=4/4-y

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Q: P 2. ( Use the disk or washer method to find the volume of the solid obtained by rotating the region…

A: It is given that y=x, y=6-x, x=0 The objective is to find the volume of the solid obtained by…

Q: The area S of the surface formed by revolving, about the y-axis, the region bounded by the graph of…

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Q: 5. (6') Find the volume of the solid formed by revolving the area bounded by y = sin(x²), x E [0, T)…

A: Given - A bounded region To find - Volume of solid by revolving the region about specified line

Q: 1. Find the area of the region bounded by the parabola x = 3+ 2y - y? and the line 2x + 3y = 6. Find…

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Q: The area under the curve 4y2 = (x? + 1)3 was rotated about a line located to the left of y - axis by…

A: The area under the curve 4y2=169x2+13 is rotated about a line located to the left of y-axis by three…

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

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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 solid under z = V-x² - y² + 17 above the quarter circle inside x? +y = 4 in…

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Q: 3- a) Find the area of the region in the first quadrant between, y = x and y = x² b) Find the volume…

A: (a) The given region is y=13x12 and y=23x2. We have to find the area of the given region.

Q: 42) Find the surface area of the solid that results when the region in the first quadrant bounded by…

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Q: Q2||A|| Find the volume of the solid generated by revolving the region bounded by the curve x = y?…

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Q: 1. Find the volume of the solid created by rotating the region enclosed by the curve x² + 4y2 = 4 ,…

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Q: me volume ốf the solid obtained by rotating the region enclosed by y = x², y = 4x, about the line y…

A: Find the volume of solid

Q: nd the volume of the solid generated by revolving the region bounded by the given line and curve…

A: Topic:- application of integration

Q: The surface area of the surface generated by revolving y=x³ , 0<x<1 about the x- axis is S×3.56312…

A: Option 2 none

Q: 14. Find the volume of the solid created by revolving the shaded region given below about the x axis…

A: Here given a straight line x+2y=2 and it is revolved around x axis. We need to compute its volume.If…

Q: 10. Find the volume of the solid generated by revolving the area enclosed by the loop of the curve…

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Q: Find the volume of the solid of revolution generated when the area described is rotated about the…

A: We have to find the volume of the solid of revolution generated when the area described is rotated…

Q: 9. Find the surface area of the part of the cylinder y? + z2 = 9 that is above the rectangle R =…

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Q: HW: Find the area of the surface generaled by revolving 1. LIIC 2. y = Vx- xã , 1 sxs3 about x2, 1…

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Q: 4. A solid is obtained by rotating about the x-axis. The curve is given to be as y = 3x2 – a³. Find…

A: Here, the solid is obtained by rotating the curve y=3x2-x3 about the x -axis as shown.

Q: (a) Find the volume of the solid generated by revolving the curve 4x2 + 9y = 36 between y = 0 and y…

A: I have given this answer in step-2.

Q: Q4 1.Find the volume common to the surface x2 + y2 = ax and z² = ax

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Q: ー元 Q.3 Sketch the region enclosed by the curves y = sec' x, y=x² +1, xr=- 4 and find 4. its area.

A: Sketch the region and integrate the function with x from -π/4 to π/4.

Q: Find the volume of the solid generated by revolving the region bounded by y = 1 /x and the lines y =…

A: We need to find the volume of the solid generated by revolving the region bounded by y=x and the…

Q: 2r In cylindrical coordinates, the integral rdzdr d0 represents the volume of a solid... in between…

A: We will find out the required solution.