Find the surface area of the part of the hyperbolic paraboloid z = y? –x² that lies between the cylinders x2 + y? = 1 and x2 + y² = 4.

Q: the volume of the solid enclosed by the paraboloids z = = 16 (x? + y?) and z = 18 – 16 (x² + y²

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Q: Find the volume of the solid above the cone z = Vx² + y? and below the paraboloid z = 20 – x² – y?

A: Given For the given region, the paraboloid z=20-x2-y2 is the upper surface, and the cone z=x2+y2 is…

Q: Find the area of the surface. The part of the paraboloid x = y? + z² that lies inside the cylinder…

A: We have to find the surface area according to given information

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y² – x² + 2 and above…

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Q: Find the volume of material cut from the solid sphere r2 + z2 <=9 by the cylinder r = 3 sin u.

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Q: Find the area of the portion of the cylindrical surface Y = 4 – x² in the first octant that is…

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Q: Find the surface area of the portion of the paraboloid z = 9- r - y? between the cylinders r?+ y? =…

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Q: (b) Find the surface area of the portion of the paraboloid given by the equation z = 1- x? – y? that…

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Q: Find the surface area of the part of the plane 4+ 2x + 3y that lies inside the cylinder x² + y? 9.

A: The area is given by using double integral

Q: Find the area of the surface S where S is the cap cut from the paraboloid z = 2– x – y by the cone z…

A: Given that : z=2-x2-y2z=x2+y2 Now, to find the point of intersection , 2-x2-y2=x2+y2Put…

Q: Let S be the part of the hyperbolic paraboloid z = x2- y2 located between the cylinders x2 + y? = 1…

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Q: Find the surface area of the part of the plane 2x+2y +z=4 that lies inside the cylinder x²+y² = 2.…

A: Given that, the equation of the plane is 2x+2y+z=4 and the equation of the cylinder x2+y2=2. Note…

Q: ind the volume of the solid that lies under the hyperbolic paraboloid z = 3y2 - x2 + 4 and above the…

A: Using the double integral formula.

Q: Find the area of the surface. The part of the hyperbolic paraboloid  z = y2 − x2  that lies between…

A: In the question we have to find the value of area enclosed by the function of given figures.

Q: Use polar coordinates to find the volume of the given solid. Below the paraboloid z = 50 – 2x2 – 2y2…

A: Solve for the volume

Q: The area A(E) of the surface E that is the part of the surface z = xy that lies within the cylinder…

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Q: Compute 3xy dS, where S is the surface of the tetrahedron with sides z = 0, y = 0, x + z = 1, and x…

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Q: Evaluate the surface integral. y ds S is the part of the paraboloid y = x² + z² that lies inside the…

A: The projection of S onto the xz-plane is the disk D=x,z: x2+z2≤9. We have to calculate the surface…

Q: Find the volume of the solid below the paraboloid z =(9-x-), above the xy-plane and outside the…

A: Here, z=129-x2-y2

Q: 2. Find the area of the part of the surface z = cylinder x2 + y² = 9. 3xy that lies within the

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Q: Use polar coordinates to find the volume of the given solid. Below the paraboloid z = 32 – 2x2 – 2y2…

A: Consider the given: z=32−2x2−2y2 and  xy−plane i.e. z=032−2x2−2y2=0       2x2+2y2=32…

Q: Find the volume under the paraboloid z = x2 + y2 above the triangle enclosed by the lines y = x, x =…

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Q: Use polar coordinates to find the volume of the given solid. Below the paraboloid z = 50 - 2x² – 2y2…

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Q: * Find the surface area of the part of the plane 2x + 5y + z = 2 that lies inside the cylinder x? +…

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Q: nd the volume of the solid bounded by the paraboloid z = 32 – x² – y², the cylinder r² + y? = 16 and…

A: The solution are next step

Q: Show that the volume common to the surfaces 2 p2+z=4ax and x+y?=2ax is (3r+8)*. 3

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Q: Find the volume of the solid bounded by the paraboloid z = 2 – 4x? – 4y? and the plane z =

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Q: 9. Find the surface area of the part of the paraboloid a = 2 – 2? – y? that lies inside the surface…

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Q: Find the surface area of the part of the circular paraboloid z = x + y that lies inside the cylinder…

A: Solve the given

Q: Find the volume under the paraboloid z = 144 – x? – y, above the - xy-plane, and inside the cylinder…

A: As per our guidelines I answered only 1st question please the remaining question post seperately.

Q: Find the area of the surface. The part of the plane x + 2y + 3z = 1 that lies inside the cylinder x2…

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Q: 3. Find the volume under the paraboloid 3z = 2.12 + 2y2, above the triangle enclosed by the lines y…

A: First we have to draw graph and find limit according to which we have taken strip along y . Find…

Q: Find the surface area of the paraboloid z =1-x² - y? that is above the xy-plane.

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Q: Find the area of the part of the plane 3x + 3y + z = 9 that lies inside the cylinder x2 + y2 = 25.

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Q: Find the area of the surface. The part of the paraboloid z = 1 – x2 - y? that lies above the plane z…

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Q: 1. Find the surface area of the cone z = Jx2 + y2 that lies between the plane y = x and the cylinder…

A: Surface area in xy-plane

Q: Find the volume of the solid bounded by the paraboloids z = – 5+ x? + y? and z = 6 – 2x? – 2y? -

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Q: Find the area of the upper portion of the cylinder x² + z? = 1 that lies between the planes x = ±1/2…

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Q: Use polar coordinates to find the volume of the given solid. Below the paraboloid z = 50 – 2x² - 2y2…

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Q: Find the surface area of the plane 3x + 2 y + z = 6 that lies in the first octant.

A: The surface area of the plane z=f(x,y) is given by the formula                          S=∬D…

Q: Find the volume of the solid bounded from above by the paraboloid z = 6 – a2 – y?, inside the…

A: In general volume, integrals are triple integral, which involves the integral with respect to x,y,…

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y? – x² + 4 and above…

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Q: 1. Find the surface area of the cone z = √x² + y² that lies between the plane y = x and the cylinder…

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Q: Find the valume of the Solid bounded by the para boloid そ- 28-x2 152the cylinder x2+y?= 24 and xy-…

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Q: Find the area of the surface. The part of the plane x + 2y + 3z = 1 that lies inside the cylinder x2…

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Q: Find the surface area of a) The part of the plane 3x + 2y +z = 6 that lies in the first octant b)…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Find the area of the part of the paraboloid x = y2 + z2 that lies inside the cylinder y2 + z2 = 1

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Q: The surface area of the part of z = 2+ /4 – x² – y? that lies inside the paraboloid z = x² + y? is

A: Given is the equation of a surface and a paraboloid. The objective is to find the surface area. The…

Q: 9y2 92 and the plane x Use a triple integral to find the volume of the solid enclosed by the…

A: Given the equation of the paraboloid and the plane in the following,

Q: need ASAP B. Find the area of the portion of the cylindrical surface y = 4 − x2 in the first…

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