2. Find the volume of the solid bounded above by the cone z = √² + y² and below by the circular region x² + y² ≤ 4 in the ry-plane.

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

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Q: ) Determine the volume of the solid bounded by x = -4, z = 4, x = -y², and the xy-plane.

A: Given: a solid bounded by x=-4, z=4, x=-y2 and the xy plane. To find : volume of the solid   In the…

Q: Find two rational numbers between the fraction 5/6 and the fraction 83/100 Without using decimals,…

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Q: Find the volume of the region cut from the solid sphere (x2 + y2 + z2 < 4a2) by the cylinder 40 (x²…

A: Given x2+y2+z2≤4a2x2+y2=a2

Q: A yard is made with 2 regular partitions. It will be made from 720m of fencing materials. Calculate…

A: The area of the yard is given by  length ×width=y×x+x=y×2x Therefore, the area of the partition is…

Q: 2. A solid is in the first octant lies inside the hemisphere z = 4 - x² - y², outside the cone z =…

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Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper cone z2 = 4x2…

A: We have to find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper…

Q: = 4 and the planes y + z = 4 and Find the volume of the solid bounded by the cylinder x² + y² z = 0.

A: Cylinder:Planes:y+z=4z=0

Q: 2y?, 3. Find the volume of the solid generated when the region bounded by x = y-axis, the lines y =…

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Q: 4. Consider the region R bounded by the lines y = -x + 5, y = x + 1 and the y-axis. Find the volume…

A: Given region R is bounded by the line  y=-x+5y=x+1 To find point of intersection of two given…

Q: Find the volume of the region cut from the solid cylinder x² + y² ≤ 49 by the sphere x² + y² +2²=64.…

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Q: What is the volume of the figure between the planes z = x + y and z directly above the rectangle…

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Q: Find the volume of the region cut from the solid sphere

A: Given the region cut from the solid sphere x2+y2+z2≤4a2by the cylinder x2+y2=a2.

Q: 12. Determine the volume of the solid above the surface z = √x² + y² and inside the sphere x² + y² +…

A: The given problem is to find the volume of solid bounded above by cone and bounded inside the…

Q: A biologist is studying the growth of a bacteria. Initially the number of colonies of bacteria is…

A: Consider the given model. Pt=11+be-kt Initially, the number of colonies of bacteria is 200.…

Q: 5. Find the volume under the paraboloid z = -x² – y², and above the cone z = -. -V#²+ y².

A: Given

Q: 8. Find the volume generated when the plane area bounded by y=-x²-3x + 6 and x + y - 3 = 0 is…

A: Finding the volume generated by revolving along x and y axis

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

A:

Q: - Find the volume of the solid that is bounded above by the cylinder z = 4-x2, on the sides by the…

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Q: Calculate the surface area of the paraboloid with top radius R> 0 defined by 2 a² + y? 0< x² + y? <…

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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…