Q2/ Find the volume of the solid that lies below the surface given by z-16xy +200 and ies above the region in the xy-plane bounded by y=x and y=8-x².

Q: Find the volume of the solid bounded above by f(x,y) = 5x², below by the xy-plane and the sides by y…

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Q: Q1/ Find the volume of the solid generated by revolving the region bounded by y = Vcos x, y = 0 & 0s…

A: To findVolume of solid generated by revolving the region bounded by y=cosx  , y=0  & 0≤x≤π2…

Q: Find the volume of the solid generated bounded by x = √√√y-2, x = y² - 4y + 4, rotated about the…

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Q: Find the volume of the region between the planes x+y + 2z =2 and 2x + 2y +z = 4 in the first octant.

A: Find the volume of the region between the planes  x +y + 2z = 2 ......... (1)  and  2x + 2y +z =4…

Q: Find the volume of the solid generated by revolving the region bounded by y=3/(2√x), y=0 & 1s XS4.

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Q: Q3/ Find the volume of the solid generated by revolving the region bounded by y = 3/(2√x), y = 0 &…

A: We have to find the volume of the solid generated by revolving the region bounded by y=32x, y=0 and…

Q: Find the volume of the region bounded above by the paraboloid z = 9 – x? - y², below by the…

A: The volume of region is calculated using the triple integral, V=∭sdV Use the cylindrical…

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y-2= 0 is…

A: We know that if y=f(x) ,and y=g(x) are two curve intersecting at  x=a and x=b  the required volume…

Q: Q6. Calculate the volume of the solid obtained by rotating the region bounded by y = x ² – 4x + 5, x…

A: To calculate the volume of solid obtained by rotating the region bounded by the following curves:…

Q: I need to find the volume of a solid obtained by rotating the region bounded by y=x3 , y=1 , x=0…

A: Find the f(x) and g(x) and the limits for integration a and b.

Q: Q4) Fid the volume of the solid generated by revolving the region between the curve y = x + 1 and…

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Q: What is the volume of the solid formed when the region bounded by the curve y = V9 – x², x= -3 and x…

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Q: Q1/ Find the volume of the solid generated by revolving the region bounded by y = Vcos x, y 0 & Osxs…

A: Disk method: The disk method is used to find the volume of a solid when the axis of revolution is…

Q: Find the volume of the solid bounded above by the z=2−x plane and below by the x=4−y^2 curve, in the…

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Q: Q4/ Find the volume of the solid generated by revolving the region in the first quadrant bounded by…

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Q: Find the volume of the region bounded above by the paraboloid z = 9 - x2 - y2, below by the…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x² + 2 and y = 4 - x²…

A: Solution:-

Q: Find the volume of the solid generated when the region bounded by y = x² – x and y = x - y2 is…

A: Introduction: If the area of the ring is A=πOuter radius2-(Inner radius)2, the volume of solid…

Q: Find the volume of the solid generated when the region bounded by y = 4x and y = 16VX is revolved…

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Q: Q4/ Find the volume of the solid generated by revolving the region in the first quadrant bounded by…

A: If is a function, then the independent variable x is called the input of the function and the…

Q: Find the volume of the solid that is bounded above by the cylinderz = x2 and below by the region…

A: Given, bounded region z=x2, y=2-x2, y=x region can be define as ∫∫x2dxdy now region is y=2-x2, y=x…

Q: Calculate the volume of the solid in the first octant bounded by the plane y = 4 and the cylinder z…

A: Volume is calculated using triple integration. Here x varies from 0 to 2 , y from 0 to 4 and z…

Q: Find the volume of the solid bounded above by enclosed by the curves z = 2 – a², z = x in the

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Q: Find the volume of the region above the xy-plane, inside the cone z = 14 – Vx² + y² and inside the…

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Q: Find the volume of the solid generated by revolving the area bounded by x- y² + 4y-4 0 and x- y-4 0…

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Q: What is the volume of the solid rotated about the x-axis under the curve y = 2x -1 from x = 1 to x =…

A: Volume by disk method: The volume of a shaded region bounded by two curves over the interval [a,b]…

Q: Find the volume of the solid bounded above by f(x,y) = 3x2, below by the xy-plane and the sides by y…

A: Let's find.

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

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Q: Find the volume of the solid bounded by x + y2 = 3z and x2 + y2 = 6x

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Q: b. Determine the volume of the solid obtained by rotating the region bounded by y = x2 2x and y = x…

A: The question is from the calculus in which solid of revolution, and we have to find the volume of…

Q: What is the volume of the solid obtained by rotating the region bounded by the graphs of y = Va =2-r…

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Q: Find the volume of the solid bounded above by f(x,y) = 8x?, below by the xy-plane and %3D the sides…

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Q: Q3: Calculate the volume of the solid obtained by rotating the region bounded by the curve y = 2x -x…

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Q: Find the volume of the solid above the region D={(x,y) : 0< xs V27, 0s ys 27-x2} and between the…

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Q: Find the volume of the solid that is bounded by Y3D0 2.x +3y +5z = 30

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Q: What is the volume of the solid formed when rotating the region bounded by f (x) =-x² + 7x – 12 and…

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Q: Find the volume bounded by the cylinder x² + y² = 9 and the planes y + z = 4, z = 0, using double…

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Q: Q1/ Find the volume of the solid generated by revolving the region bounded by y = Vcos x, y = 0 &…

A: Given : y = cos x , y = 0 0 ≤ x ≤ π2   To find the volume of the solid generated by revolving the…

Q: Find the volume of the solid above the region D={(x,y) : 0S xs V15, 0s ys 15-x²} and between the…

A: Let's find.

Q: Find the volume of the solid bounded above by f(x,y) = 4x?, below by the xy-plane and the sides by y…

A: We will find out the required volume.

Q: Find the volume of the solid bounded above by the surface z = 4 – y² and below by the rectangle R =…

A: We have to find the volume of the solid bounded above by the surface z= 4 - y2 and below by the…

Q: Find the volume of the solid lying below the graph of z = x* + xy + y³ and above the rectangle 1 < x…

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Q: Find the volume of the solid bounded above by the cylinder y = x2 and below by the region enclosed…

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Q: Find the volume of the solid generated by revolving the bounded region between the parabola x = y²…

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Q: Find the volume of the solid generated by revolving about the line y = -3 the region bounded by the…

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

Q: Find the volume of the solid obtained by rotating the region bounded by y 5x-x2 and y-x about the…

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Q: Find the volume of a solid bounded above by the function f(x,y) = 2x2 + 4y2 +1, below by the…

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Q: Find the volume of the solid bounded by x+y2=3z and x2+y2=6x.

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Q: Find the volume of the solid above the region D={(x,y) : 0s xs V55, 0s ys 55-x²} and between the…

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Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

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