Change the tiple integral to spherical ordinate: $. «*+v++z33 av Where is bounded by the hemisphere...
Change the triple integral to spherical coordinates: II 6x2 + y2 + z273 dv 0 Where is the region bounded by the sphere x2 + y2 + z2 = 36 and the cone 7 = - -√x² + y² °5")***sino dpdepdo ["S pusing dpdøde | p*sing dpdpdo 5" SIS* p* sino apdipao 4 Moving to another question will save the RC т S в у
Question 20 Change the triple integral to spherical coordinates: Mw*=*=293.ov Where Q is bounded is the sphere x2 + y2 +z? = 4. 5,"5"5. o? sinododendo se s pºsing dodipde 115 pºsiny dpdpde LESS ρ' sino αράφde
A Moing to another questo il te this response Qulation 20 Change the triple integral to plerical coordinates = 1x+r+chor Where is bounded by the hemisphere - -pad the xy-plane "Il s'in v dodato "psinuo spade • 1" ST p*sina docendo "Sa+sin deludo Moving to another Question will we is response FI F3
Use cylindrical coordinates to evaluate the triple integral ∭E √(x2+y2)dV where E is the solid bounded by the circular paraboloid z = 1-1(x2+y2) and the xy -plane.
4. Find the value of the triple integral for w = x bounded by: x2 + y2 sz 54 and x2 + y2 = 4 in the xy-plane.
Let F(x,y,z) =( x3z)I+(y3z-yz3)j+z4k use the divergence theorem to calculate ∫∫cF•ds, that is , calculate flux of F across S, where S is the surface of the solid bounded by the hemisphere z = √ 2 - x2 - y2 and the xy - plane .
6. (12pts) Use the divergence theorem to find the flux F.ndS with outward pointing normal n with F(x, y, z) =< x2,-y, z >, where s is the surface of the hemisphere z = V 1-x2-y2 and its base in the xy plane. 6. (12pts) Use the divergence theorem to find the flux F.ndS with outward pointing normal n with F(x, y, z) =, where s is the surface of the hemisphere z = V 1-x2-y2 and its base in...
4. Using spherical coordinates, evaluate the triple integral: ry: dl, where E lies between the spheres r2+94:2-4 and r2+92+ะ2-16 and above the cone V+v) or Recommend separating! 5. Using spherical coordinates, find the volume of the solid that lies within the sphere r2+y2+2 9, above the ry-plane, and below the cone ะ-V/r2 + y2 Reconnnend separating! 6. Using spherical coordinates, evaluate the triple integral: 2 + dV where E is the portion of the solid ball 2+2+2 s 4 that...
Use a spherical coordinate integral to find the volume of the given solid. 16) The solid bounded below by the xy-plane, on the sides by the sphere o 9, and above by the cone 729 729 4 729 A) D) 243T B) Use a spherical coordinate integral to find the volume of the given solid. 16) The solid bounded below by the xy-plane, on the sides by the sphere o 9, and above by the cone 729 729 4 729...
solve parts b,d and f 2. Compute the integral of f over S where (a) f(ayz)xy+z.S is the region in the first octant with xy+ (b) f(xy.z)xxyz, S is the region defined in 2(a) (c) f(x,y.z) x + y2-xz, s is the region bounded by the x'y plane, the plane z (d) f(x,y,z) 2, and the cylinderx2 y z, s is the region in the first octant bounded by r2 + y2 + 2 4 (e) f(xy,z-2, s is the...