3 (a) Find the volume of the solid that lies under the plane 3x+2y + z = 12 and TL above rectangular R = {(x,y) 0≤x≤ 1,0 ≤ y ≤

Q: Find the volume between the cone x = √y² + z² and the sphere x² + y² + z² = 4. volume -

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4-x from above inside x = y? ,x = 4.

A: Volume of the solid (V) =∫∫∫dxdydx Blue color curve represents z=0 and z=4-x Red color curve…

Q: Calculate the volume of the solid that is limited superiorly by the sphere x2+y2+z2=9 and inferiorly…

A: To Calculate: Volume of the solid bounded superiorly by x2+y2+z2=9 and inferiorly by x2+y2=z2.

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: Q5) Find volume of body bounded by z = 0 from below and z = 4-x from above inside x = y2,x = 4.

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Q: If the volume of the solid in the first octant bounded by the planes x+2y+z=32 and 4x+2y+z=32 is [c…

A: first find the limit for x then take x=0 and find the limit for z then take z=0 then find the limit…

Q: A thin metal plate of uniform density covers the area between the curves y = 2+ 6x – x² and y = 2 –…

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Q: Q3) Find volume of body from below z = x² + y² and above z = 1.

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Q: Compute the volume of the solid bounded by the surfaces x2+y2=33y, z=0 and z=Vx²+y2.

A: We will use of cylindrical coordinates to find the volume of solid

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Q: Calculate the volume of the solid that is bounded by the surface x2 + y2 - 4y = 0, below by the…

A: We will use cylindrical co ordinate system to find volume enclosed  In cylindrical co ordinate…

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - y from above inside y = x? ,y = 4.

A: Volume of the solid (V) =∫∫∫dxdydxGiven solid bounded by z=0, z=4-x, x=y2 and x=4 Limits of…

Q: Determine the volume of the function f(r, 0, z) = -2r²0z³ in a complete cylinder of radius 3 and…

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Q: Find the surface area of the portion of the cylinder x² + z² =4 above the rectangle R = {(x,y) |…

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Q: f (x, уy) %3D — 3х — 2у + 6 | R = {(x,y) : 0 <x< 2,0< y< 2 – x )}

A: Given query is to find the area bounded by the region.

Q: Compute the volume of the column with a square base R= {(x,y): |x|< 3, |y| <3} cut by the plane z =…

A: We have to find volume whose base is square-

Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

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