Evaluate fla Vx² + y?dV ,where Ris the region that lies inside the cylinder x? + y? = 16 and R between the planes z = -3and z = 2 (Hint: use cylindrical coordinates) 640 643 644 646

Q: Find the volume between the cone x = Vy2 + z2 and the sphere x2 + y + z? = 36. Hint: Use spherical…

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Q: Using cylindrical coordinates to find the volume of the solid within the cylinder x? +y? = 25and…

A: Given

Q: Find the volume between the cone x = Vy2 + z2 and the sphere x2 + y + z? = 36. Hint: Use spherical…

A: Follow step 2 .

Q: Use spherical coordinates to evaluate the triple integral dV, where E is the region bounded by the…

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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: the volume of the solid B that lies above the cone z = √3x² + 3y2 and below the sphere x² + y² + z²…

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Q: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x2 + y?…

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Q: Find the volume of the solid region which lies inside the sphere x2 + y² + z² = 4z and outside of…

A: This question is about application of integration

Q: Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z = Vx² + y2…

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Q: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x? + y?…

A: Volume bounded by the region, using cylindrical coordinates

Q: Use spherical coordinates to find the volume of the solid enclosed by the sphere x2 + y² + z2 = z =…

A: Using spherical coordinates: x=r cosϕ sinθy=r sinϕ sinθz=r cosθwhere:dx dy dz=r2sinθ dr dϕ…

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

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Q: Using spherical coordinates, the volume of the solid inside the sphere x+y+z? -9 and above the plane…

A: Consider the given information,

Q: Evaluate ( ( z av , where R is the region x² + y² + z² s 4, * sz?s 3(x? + y³), z 2 0. (Hint: Use…

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Q: Using the spherical coordinate evaluate a) , x? dv, where G is a solid region between the sphere x?…

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Q: Use spherical coordinates to find the volume of the solid that lies above the cone 0 = 7/3 and below…

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Q: b) Using Spherical Coordinates, find the volume of the solid G bounded above by the sphere x2 + y? +…

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Q: 1. Find the centroid of the semicircular area inside x? + y² = a²_with y> 0 Answer:

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Evaluate , x*+2y* D 2x++8y++2z+ dV, where D is the region enclosed by the spherical surface x2 + y?…

A: Given: To evaluate ∫∫∫D x4 + 2y42x4  + 8y4 + 2z4 dV  Where D is the region enclosed by the spherical…

Q: Use spherical coordinates to find the volume of the top half of the sphere x? + y? + z? = 4 that…

A: Given that a sphere x2+y2+z2=4 and a cone is z2=x2+y2 We have to find the volume of the top of the…

Q: 8. Use cylindrical coordinates. Find the volume of the solid that lies between the paraboldd z=x²+yE…

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Q: Use cylindrical coordinates to find the volume of the solid that lies between the paraboloid z = x²…

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Q: Use spherical coordinates to find the volume of the solid enclosed by the sphere x2 + y² + z? = 4a?…

A: This question is about finding volume of solid enclosed by sphere. We can find it using triple…

Q: Use spherical coordinates to find the volume of the solid bounded above by the sphere p = 2 /2 and…

A: First we have to set up a triple integral for the volume of the solid region bounded above by the…

Q: Find the lateral surface area of the part of the cylinder a + y = 1 that lies within the sphere z²…

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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: Use spherical coordinates to find the volume of the solid. Solid inside x? + y? + z? = 9, outside z…

A: To find the volume of the solid inside - x2 + y2 + z2 = 9, outside z = x2 + y2 and above the xy-…

Q: the volume of the solid B that lies above the cone z = √√x² + y² and below the sphere x² + y² + z² =…

A: We will use relation between cartesian and spherical co ordinate to set up triple integral for…

Q: 2. Use spherical coordinates to find the volume of the solid that lies above the cone z = v3Vr?² +…

A: Volume

Q: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x+y and…

A: This question is related to definite integration and coordinate system,  we will solve it using…

Q: Use cylindrical or spherical coordinates, whichever seems more appropriate. Find the volume V of the…

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Q: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x² + y?…

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Q: Using spherical coordinates, the volume of the solid inside the sphere x+y+z²=9 and above the plane…

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Q: Sdlid inside x²+y?+2²=16outside

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Q: ind the volume of the solid lying above the cone z = Vx² + y2 and below the sphere =2 + y? + z² = 1.…

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Q: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x? + y?…

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Q: (a) Write down the conversion formula from the Cartesian coordinate to Spherical Coordinate and vice…

A: Here  we write the conversion formula from the Cartesian coordinate to Spherical…

Q: - Cone o Find the volume of the solid region above the cone (zv3)" (z 2 0) and below the sphere x² +…

A: Using spherical coordinates,

Q: b) Using Spherical Coordinates, find the volume of the solid G bounded above b x² + y? + z? = 25 and…

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Q: U sing spherical coordinates, determine the volume of the solid that is above the z = 2v3 plane and…

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Q: 2. Use a spherical coordinate system (p, 4, 0) to find the volume between (Зx2 + Зу?. the sphere x?…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x² + y?…

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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: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x? + y?…

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Q: Evaluate the triple integral /| z dV where E is the solid region enclosed by the paraboloid z = x? +…

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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: Use spherical coordinates. // xex2 + y2 + z? dv, where E is the portion of the unit ball x2 + y2 +…

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Q: Use spherical coordinates to find the volume of the solid. The solid between the spheres x² + y² +…

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Q: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x? + y?…

A: Let's find.

Q: Using spherical coordinates, the volume of the solid inside the sphere x+y? +z2 =9 and above the…

A: In spherical coordinates,  x=ρsinϕcosθ, y=ρsinϕsinθ, z=ρcosϕ, dxdydz=ρ2sinϕdρdϕdθ, x2+y2+z2=ρ2…