Find the surface area of the surface S. Sis the paraboloid x 2 + y2-z = 0 below the plane z = 2. O 13 TT O 13 O 13

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

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Q: Find the area of the surface. The part of the sphere x? + y2 + z? = 25 that lies above the plane z =…

A: We have given The part of the sphere x2 + y2 + z2 = 25 that lies above the plane z = 2.

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Q: Evaluate the surface integral ff, z ds, where S is the portion of the graph of x = 1- z? cut by the…

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Q: Evaluate: I| (x2 + y?) ds over the surface S of the sphere x2 + y? + z? = 5. Use Formula (5.22a)…

A: The solution is given below:

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Q: Find the area of the surface. The part of the sphere x2 + y2 + z² = 4z that lies inside the…

A: Given sphere is x2+y2+z2=4z that lies inside the paraboloid  z=x2+y2. We have to find the area f the…

Q: x² + y? that is below the plane Find the surface area of that portion of the paraboloid z = z = 2.

A: Given paraboloid z=x2+y2 Surface area, AS=∫∫R∂z∂x2+∂z∂y2+1dA AS=∫∫R2x2+2y2+1dA…

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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 area of the part of the sphere x² + y? + 2? = 12z that lies inside the paraboloid 2 % = x²…

A: Topic = Application of integration

Q: Find the surface area of the part of the plane z = 5 + 4x + 3y that lies inside the cylinder a² + y?…

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Q: Find the surface area of the part of the plane z = 5 + 7x + 2y that lies inside the cylinder a2 + y?…

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Q: Evaluate [[[(x2 + y² +z?)2 dV, where 2 is the solid hemisphere (half of the sphere) enclosed by x +…

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Q: Evaluate .(x+y² +=?) dS, where S is the portion of the paraboloid x=5+y² + z? contained within the…

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Q: Q2 (a) Find the volume under the surface z = 3x³ + 3x?y and over the rectangle R = {(x, y):1 < x <…

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Q: Consider a surface S, which is described by z=−6⋅y−6⋅x+12, with x≥0, y≥0. a) The area of surface S…

A: We will find out the required solution.

Q: Find the area of the surface. The part of the sphere x² + y² + z² = 36 that lies above the plane z =…

A: Consider the sphere x2+y2+z2=36 For z=3, the projection of the part of the sphere in the xy-plane…

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Q: Calculate the area of the surface S. S is the lower portion of the sphere x + y 2 + z2 = 49 cut by…

A: Answer : The surface area of sphere cut by cone is in following pic :

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

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Q: Match the given equation with the verbal description of the surface: A. Circular Cylinder B. Cone C.…

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Q: Let o be the surface of the sphere given by r? + y? + z² = a². Evaluate the surface integral f,(x² +…

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Q: Find the surface area S of the paraboloid z = x + y' below the plane z = 1, using the figure at…

A: According to our guideline we can only answer first question and rest can be reposted.

Q: a. z? -y? -x?+ 4x= 5 by-3 = x?+z² 2

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Q: Find the area of the surface. The part of the sphere x2 + y2 + z² = 49 that lies above the plane z =…

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Q: Find the surface area of the part of the hyperbolic paraboloid z = y? –x² that lies between the…

A: Given The hyperboloid z=y2-x2 that lies between the cylinders x2+y2=1 and x2+y2=4.

Q: 10. Using Stoke's theorem, evaluate y dx+ xz dy+x² dz where C is the boundary of the triangle cut…

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Q: Find the surface area of the portion of the cone 22 = 4x² + 4y? nat is above the region in the first…

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Q: Find the approximate area of the surface obtained by rotating x = - (y° + 2)/², 1 sys2 about the…

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

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Q: 3) Find the volume of the solid enclosed by the paraboloid z = r + y?- 4 and the plane 2 = 5.

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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: Find the area of the surface. the part of the surface z = xy that lies within the cylinder x? + y² =…

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Q: Which cylindrical surface below is perpendicular to the yz-plane? O x^2 + y^2 - z^2 = 1 O x = y^2 +…

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Q: Find the surface area of the portion S of the cone z2 = x? + y², where z > 0, contained within the…

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Q: The surface area of the cap cut from the paraboloid y + z? = 3x by the plane x = 2 is Select one or…

A: Given the paraboloid  y2+z2=3x  we have to find the surface area of the cap cut from the paraboloid…

Q: Find the surface area of that part of the plane 3x + 10y + z = 9 that lies y? inside the elliptic…

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Q: Find the surface area of the cylinder 2 +y? = 16 cut out by the planes z= 0 and z = 16 -2x O 100 pi…

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

A: To find the area of the surface bounded by the paraboloid x=y2+z2 and cylinder y2+z2=9

Q: 1. Find the surface area of the part of the sphere x+ y +z = 4 that lies above the plane z =1.

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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 surface. The part of the sphere x2 + y2 + z² = 36 that lies above the plane z =…

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Q: Find the surface area of the portion of the semi cone z = x2 + y? that lies between the planes z = 6…

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