A region bounded by fy) = -y² + 4 and x = 1 is shown below. Find the volume of the solid formed by revolving the region about the y-axis. 3 54 3-2 -11 45 4

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

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Q: 6) Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: The volume of the solid generated by revolving the region bounded by x+ 2y =2, y=0, and x=0, about…

A: I use shell method to find volume about x axis

Q: The region bounded by y = a x, a = = 1, and y 0 in quadrant I is rotated around %3D - axis. Given…

A: In the question it is asked to calculate the value of a ,volume generated by the curve y=ax2 is…

Q: A region bounded by f(x) = Vx +2 , y = 1, x = 4, and x = 0 is shown below. Find the volume of the…

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Q: 3 Let R be the region bounded by the line y =r, y = 0 and r = 2. If S be the solid generated when R…

A: The given region R is bounded by: R= y=32x,  y=0,  x=2

Q: If the region bounded by (x – 4)2 + (y – 2)2 = 3 is rotated by the axis x = -3, then find the volume…

A: Given a circle x-42+y-22 = 3. It is a circle with center (4 , 2) and radius 3 Given a line x=-3…

Q: Find the volume that is obtained by revolving the region about the r-axi 20 18+ 16+ 14+ 12+ 10+ y =…

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Q: The volume of the solid generated by revolving the region bounded by x+ 2y =2, y=0, and x-0, about…

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Q: . The region bounded by y =x°, y= 0, and x = 2 is revolved about the line X=2. Find the volume of…

A: Let us first plot the required region.

Q: Find the volume of the solid formed by revolving the region bounded by the graphs y=x and y=x' from…

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Q: 7. Find the volume of the solid obtained by rotating the region bounded by and r = 0 about the…

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Q: A region bounded by f(y) = 2y, y = 1, y = 3, and x 0 is shown. What is the volume of the solid…

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Q: 14. The region bounded by y =x and y = 4xx is revolved about the line y=6. Find the volume of the…

A: There are multiple question. As per Company policy ask multiple question separately. As per ring…

Q: Determine the volume of the solid generated by revolving the region bounded by y = x2 – 4x + 5, the…

A: The given curves are; y=x2-4x+5, x=1, x=4, y=0 x-axis From the given curves the bounded region is as…

Q: The region bounded by y = x² and x = y is rotated about the line y the volume of the resulting…

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs y=x and y=x? from…

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Q: If the region bounded by (x – 4)2 + (y – 2)² = 3 is rotated by the axis x = -3, then find the volume…

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Q: Find the Volume of the solid generated by revolving the region of (the figure below) about the line…

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Q: 2. .Use the method of disksirings to determine the volume of the solid obtained by rotating the…

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Q: 65. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3-x²…

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Q: 5) Find the volume of the solid of the region common to the interiors of the cylinders x2 + = 1 and…

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Q: A region bounded by Ay) = 2y, y = 1, y = 3, and x = 1 is shown below. Find the volume of the solid…

A: We need to use disk method to find the volume.

Q: 5. a) Find the volume of the solid bounded by the paraboloid z= 2(x? + y²) +3 and the cylinder x? +…

A: (a)  Find the volume of the solid bounded by the paraboloid z=2x2+y2+3 and the cylinder x2+y2=1 and…

Q: B. Find the volume of the indicated solid i) under 2x - 3y + z = 6 and above the rectangle R = {(x,…

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Q: Find the volumes of the solids generated by revolving the region about the given line (a) u = 3r.…

A: Let's find volume of solid(V).

Q: d the Volume of the solid generated by revolving the region of (the out the line segment AB. C(0,8)…

A: Given:- A=(4,8) ,B=(4,0)  , C=(0,8) and y=x3/2

Q: Let 2 be the region between x+y 1 VI+ V=1- VI + Vỹ = 1 and r +y = 1. Find the volume of the solid…

A: We have to find volume of solid revolving about x - axis.

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

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

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Q: A region bounded by f(x) = 2x-2, y = 1, y = 4, and x = 1 is shown below. Find the volume of the…

A: A region bounded by fx=2x-2, y=1, y=4, and x=1 is shown below.To find the volume of the solid formed…

Q: 5. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 – x²…

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Q: D Evaluate the volume of the solid region E, in the first octant, that lies above z0 and below the…

A: Explanation of the answer is as follows

Q: A region bounded by fy) = y, f\y) = 6 - y, and x = 1 is shown below. Find the volume of the solid…

A: The solution are next step

Q: Find the volume of the solid generated if the region bounded by y 2x and y = x - 2x is revolved…

A: We have to find the volume of the solid generated. Region bounded by y=2x2 and y=x4-2x2  about y…

Q: A region bounded by f(x) = 3x + 1, y = 3, x = 1, and x = 2 is shown below. %3D Find the volume of…

A: Given :-  The region bounded by f x  = 3x + 1 , y = 3 , x = 1 , x = 2 To Determine :-  The volume of…

Q: 12. Find the volume of the solid formed by revolving the region bounded by y =x , y = x³, x=0, X =1…

A: Answer

Q: A region bounded by f(y) = √√√y, y = 4, and x = 0 is shown. What is the volume of the solid formed…

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Q: A region bounded by f(y) = y, y = 1, y = 8, and x = 0 is shown below. Find the volume of the solid…

A: The region bounded by f(y)=y3, y=1, y=8 and x=0, trhe region revolved about y-axis.

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

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Q: 9. Find the volume of the solid in the first octant enclosed by the surface z = x? and the four…

A: Volume = ∫02∫03∫0x2dx dy dz                 =∫02dx∫03dy ∫0x2dz…

Q: Q6.a) Use the cylindrical shell to find the volume of the solid generated by the region under y =…

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Q: (3)The region between 4=5 and y=x+ 4 is rotated about x=-\. Uge cylindrical shells to find the…

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Q: (c) Find the volume of the solid generated by revolving the region enclosed by the triangle with…

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

A: For a function, z=f(x,y) the surface area is calculated using the formula below. S=∬D[fx]2+[fy]2+1dA

Q: A region bounded by f(x) = Vx +2 , y = 0, x = 4, and x = 0 is shown below. %3D Find the volume of…

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Q: The volume of the solid obtained by rotating the region bounded by y=x, y-27 and x-0, y-0 about the…

A: To find the volume of solid rotating about y axis.

Q: Q46.a) use cylindrical shell to find the volume of the solid generated when the region under 2y=x+4…

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Q: 2. Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: a) By using the cylindrical shells method, find the volume of the object generated when the area…

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