Compute 6. da dy dz x²+y² + z² where V = {(x, y, z) E R³ : 4 < x² + y² + z² < 9, z > 0, y > 0}. Sketch the solid.

Q: Given The boundary of C: 0 ≤ x ≤ π,0 ≤ y ≤ sinx With Green's Theorem, Evaluate this line integral. $…

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Q: Compute the triple integral and please show work

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Q: Evaluate the triple integral. 3xy dV, where E is bounded by the parabolic cylinders y = x² and x =…

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Q: Evaluate the triple integral. 3x dV, where E = {(x, y, z) I 0 s y s 2, 0sxs V4- y², 0 s z s 2y}

A: Given region is E=x,y,z/0≤y≤2,0≤x≤4−y2,0≤z≤2y We have to evaluate the triple integral ∭E3xdV in…

Q: Find [[fw ryz dV if W is the solid region in R³ below the surface z = x² + y² and above the square 0…

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Q: (y In a In y) da + dy = 0 O In In y + T Ina += C O y= eCa 1 y%3D O Iny Ce

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Q: Evaluate the triple integral. 2xy dV, where E is bounded by the parabolic cylinders y = x² and x =…

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Q: Evaluate / / /3zdV E where E is the solid enclosed by z = | and z = = x² + y?

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Q: II| (x + y + z) dv, where E is the solid in the first octant that lies under the paraboloid z = 16 -…

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Q: check if it is homogeneous and to what degree (3x - cosy)dy t_x' dy =0

A: Find your answer below

Q: Evaluate the triple integral I/| (x, y, z) dV over the solid E. f(x, y, z) = vx2 + y², E = {(x, y,…

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Q: 3. Evaluate // (22 + y) dV where G is the solid in the first octant bounded by r = y? and r+z = 1.

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Q: Find y dV, where E is the solid bounded by the parabolic cylinder z = x° and the planes y = 0 and z…

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Q: Calculate ff F.n dS where F x'yzi + 2xj + y?k in the solid region S bounded by the parabolic tube z…

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Q: 1 Evaluate dV, where E lies between the spheres x + y + z = 16 and + y? + z2 = 64 in the first…

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Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = E : 6y² + 6z²…

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Q: T// Vx² + y² dV, where E is the solid in R3 bounded by the surfaces E z = x² + y² and z = 8 – x² –…

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Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = 9y² + 9z2 and x…

A: Given the region

Q: Evaluate fff (3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0…

A: ∫∫∫(3x + 2y) dV=∫∫∫(3x + 2y) dxdydz = ∫z = 04∫y = -13∫x =-11(3x + 2y) dxdydz = ∫z = 04∫y = -134y…

Q: Evaluate the iterated integral.

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Q: please explain it step by step

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Q: 6. Below is the solid bounded by the surfaces S1:z° = 16 – 2y S2: x = 4-y + z, S3: x = 1, in the…

A: Given a solid described by,  s1:z2=16-2ys2:x=4-y+zs3:x=1.

Q: Find /// y dV, where E is the solid bounded by the parabolic cylinder z = 2 and the planes y = 0 and…

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Q: Find vdv y dV, where E is the solid bounded by the parabolic cylinder z = x and the planes y = 0 and…

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Q: 5. Evaluate Sl. x2 dV where is the solid that lies within the cylinder x² + y² = 4 above the plane z…

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Q: Evaluate the triple integral ∭E(x+2y)dV where E is bounded by the parabolic cylinder y=2x2 and the…

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Q: 1. Use the cylindrical coordinate to evaluate ff. x² + y²dV _where G is the solid bounded by…

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Q: ¹ [ ] [ ²0 x dxdydz where E is the solid limited by Plane E z = 0,z=x+y+5 and by the cylinders x² +…

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Q: Evaluate S Jf3zdV E where E is the solid enclosed by z=1 =D1 and z = x + y O 4T O 27 О Зт

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Q: The solid S is obtained by rotating the region enclosed by y = f(x) 2 0, a = 5+ 5e6 1- e6 5+ 5e16 1-…

A: The given question is solved below.

Q: Evaluate the triple integral ∭E (x+7y)dV where E is bounded by the parabolic cylinder y=2x^2 and the…

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Q: (15) Evaluate ///, y dV where D is the solid cut from the cylinder 2² + y? = 1 by the planes z = 0…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 15. Evaluate SLL:(z+1)dV where E is the solid enclosed by the paraboloid y = x2 + z² and the plane y…

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Q: 1. Evaluate ſf, y dS where S is the portion of the cylinder 4x² + 2y² = 16 that lies between z = 0…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate 1 dv √x² + G where G is a solid that lies inside the cylinder x² + (y − 2)² = 4, above the…

A: Please see the attachment

Q: /| y dV, where E is the solid bounded by the parabolic cylinder z = 1° and the planes y = 0 Find and…

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Q: Find II| y dV, where E is the solid bounded by the parabolic cylinder z = x² and the planes y = 0 E…

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Q: E) Sketch the solid bounded by the cylinder ** +y = 4 and the planes y+z = 4 and z = 0

A: Here, we need to sketch the solid bounded by the cylinder x2+y2=4 and the planes y+z=4 and z=0.

Q: Evaluate the triple integral x dV where E is the solid bounded by the paraboloid x = 6y² + 6z² and x…

A: To evaluate the triple integral ∬∫ExdV where E is the solid bounded by the paraboloid…

Q: Evaluate f S S12zdV where E is the solid enclosed by z = 1 and z = r + y O 4m O 27 0 3r

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Q: Evaluate the triple integral -p (x + 6y) dV where E is bounded by the parabolic cylinder y = 8x² and…

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Q: Find // y dV, where E is the solid bounded by the parabolic cylinder z = x? and E the planes y 0 and…

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Q: Evaluate the triple integral -3pi D x dV where E is the solid bounded by the paraboloid x = 6y² +…

A: Solution is given below:

Q: Evaluate the triple integral (x + 8y) dV where E is bounded by the parabolic cylinder y = 4x² and…

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Q: y dV, where E is the solid bounded by the parabolic cylinder z = x and the pl

A: We have to evaluate the triple integral : ∭EydV ,where Eis the solid bounded by the parabolic…

Q: 1 9. Evaluate dV;where E is the solid between the spheres of radius 1 (x² + y² + z²)³/2 E and 2…

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Q: Evaluate the triple integral. {x, y, z) | 0 s y s 2, 0 sxs 4- y², 0 sz s Sy 6x dV, where E =

A: From the given problem:   ∫∫∫E6xdV   And region:   0≤y≤20≤x≤4-y20≤z≤5y   So, we can write as:…

Q: Consider the solid Q shown in the following figure 2.x + 3y + 3z = 6 S y? + x = 2 2 If S: 2x + 3y +…

A: The given surface is as follows: 2x+3y+3z=63z=6-2x-3yz=136-2x-3yz=2-23x-y The projection of the…

Q: //| y dV, where E is the solid bounded by the parabolic cylinder z = x² and the planes y = 0 E Find…

A: we have to find volume

Q: 1. Evaluate using cylindrical form, I. yz dV where S is the solid in the first octant enclosed by y…

A: Given : y = 0 and y = 1-x2 and z = x To find : Area enclosed by given solid. Solution : The…