Find the area of the surface. 12. The part of the sphere x2 + y2 + z2 = 4z that lies inside the paraboloid z = x2+y2

Q: Q6) Find the area of the portion of the cylinder x2 + y2 = 6y that inside the %3D sphere x² + y? +z²…

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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.

Q: Compote the volume of a reoion inside the Sphere x" +Y? +z² =4 ond between two sheets of the…

A: We have to find V0, V0 = Volume of sphere - V1-V2And from Symmetry we know that V1 = V2⇒V0 = Volume…

Q: Calculate the surface area of the following: the cap cut from the sphere r² + y² + z² = 3 by the…

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Q: 25. Find the volume of the solid that is enclosed by the cone z = Vx² + y? and the sphere 22 + y? +…

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Q: Find the area of the surface. The portion of the sphere x2 + y2 + z² = 289 inside the cylinder x2 +…

A: Given equation of sphere x2+y2+z2=289 and equation of cylinder x2+y2=225

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: 10. The part of the paraboloid x = y² + z² that lies inside the cylinder y² + z² = 9

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Q: Q2. Find the volume of the sphere x² + y +z = a (In Cartesian coordinate system). %3D

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Q: Find the area of part of sphere x² + y? + z² = 100 that lies inside x2 + y? = 10x %3D %3D

A: This is a problem of surface integral.

Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 =…

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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 =…

A: Consider the formula for the Surface and the function f(x,y).Calculate fx and fy by partially…

Q: e surface generated by y=x^3 on [0,1], about the x-axis. Final Answer is A(s)=3.563 sq. units, Show…

A: Solution:- y=x3       0,1 y'=3x2 y'2=3x22y'2=9x4 Now find surface area S= ∫012πy1+y'2dx…

Q: 25. Find the volume of the solid that is enclosed by the cone z = /x² + y² and the sphere x² + y² +…

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Q: Find the volume of the solid bounded by the graphs of the sphere x² + y² +z? =16 and the cylinder…

A: Given solid is bounded by sphere x2+y2+z2=16 and cylinder x+y-22=4 Volume using cylindrical…

Q: Find the area of the surface. The part of the sphere x2 + y2 + z2 = 16 that lies above the plane z =…

A: The objective is to find the area of the surface of the part of the sphere x2+y2+z2=16 that lies…

Q: 3. Find the volume of the solid that lies between the paraboloid z = x² + y² and the sphere x2 + y²…

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Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y² =…

A: Let z=f(x,y) is differential over the region R. Then surface area is A=∫∫R1+fx2(x,y)+fy2(x,y)dydx

Q: 18. Find the surface area of the sphere with radlus 5 by dou- bling the surface area of (x, y)…

A: Given: f(x,y)=25-x2-y2 is the surface bounded by the circle x2+y2=25 where radius, r=5

Q: Find the area of the surface. The part of the sphere x2 + y2 + z2 = 16 that lies above the plane z =…

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Q: Find the surface area of the portion of the sphere x2 + y2 + z2 = 25 inside the cylinder x2 + y2 =…

A: Recall:  The formula of surface area is S=∫∫S1+∂z∂x2+∂z∂y2 dA

Q: Find the area of the surface. The portion of the sphere  x2 + y2 + z2 = 100  inside the cylinder…

A: To find the area of surface

Q: (1) Find the area of the surface of the portion of the cone 2 +y² between the cylinder y? = x and…

A: To find the surface area of cone between given cylinder and plane, use the surface area formula as…

Q: Find the area of the part of the sphere x2+y2+z23D 9z that lies inside the paraboloid z =r+y?. a.…

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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 olume of the solid cut Prom the sphere 8=2C@SQ by the Cone Z= Jx+ ý Ans/ T

A: The given question is related with triple integral. We have to find the volume of the solid cut from…

Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x² + y2 =…

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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 area of the part of the sphere r? + y + z² = 4 that lies within the first octant and inside…

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Q: Find the surface area of the part of the sphere x^2+y^2+z^2=49 that lies above the cone…

A: Given:

Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x² + y? =…

A: Given Surface area (S) is Region is In polar coordinates

Q: Find the area of the cap of the sphere x2 + y² + z? = 2 cut by the cone z = Vx2 + y² |3D

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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.

A: We have to find out the volume of given paraboloid equation   z2=x2+y2-4    with plane   z=5

Q: Find the surface area generated by rotating the semi-circle x = (49 – y² be- tween -7 < y < 7 about…

A: To Determine :-  The surface area generated by rotating the semi-circle x = 49 - y2 between -7 ≤y ≤7…

Q: What is the area of the region that lies inside the circle r + y y? = 5x? ² ? %3D 10.r and outside…

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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 =…

A:

Q: Find the area of the surface.The part of the surface  z = xy that lies within the cylinder x2 + y2 =…

A: Consider the formula for the surface area.Find Zx and Zy by partial differentiation .

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

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Q: 8. Draw the figure and Find the area of the part of the sphere x? + y? + z? = 3z that lies inside…

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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…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the area of the surface for the portion of the sphere x+y² +z* = 225 inside the cylinder x+y…

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Q: Let be s a surface compaund by the union of s, qnd Sz An expression to get the Area of the Surface…

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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 volume of the portion of the solid sphere 2 +y? + 22: = 10 that lies between the surfaces z =…

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Q: find the surface area of a the cap that is cut from the sphere x 2 + y 2 + z 2 = 3 by the cone z…

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Q: x2 + y? and the sphere Determine the volume of the solid enclosed by the paraboloid x² + 3y? + 2² =…

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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: 1) A) Find the area of the portion of the sphere x? + y + =9 lying inside the cylinder x2 + y? = 3y.

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Q: Find the surface area of a quarter of the sphere x? + y2 + z2 = 4.

A: The equation of a sphere centered at x0, y0, z0 is defined using the formula: x-x02+y-y02+z-z02=r2,…

Q: Find the area of the part of Sphere x? + y? + z? = 16 that is outside the paraboloid z=16 – x² – y?.…

A: The part of the object outside another object can be obtained by first calculating the intersection…