Evaluate the following integral, ∫ ∫ S z dS, where S is the part of the sphere x2 + y2 + z2 = 16 that lies above the cone z = √ 3 √ x2 + y2 .
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Evaluate the following integral, ∫ ∫ S z dS, where S is the part of the...
Evaluate the following integral, Spz where S is the part of the sphere x2 + y2 +z2 16 that lies above the cone z = V5V - Evaluate the following integral, Spz where S is the part of the sphere x2 + y2 +z2 16 that lies above the cone z = V5V -
16. fs y2 dS, S is the part of the sphere x2 + y2 + z2 = 1 that lies above the cone z = Vx2 + y2 16. fs y2 dS, S is the part of the sphere x2 + y2 + z2 = 1 that lies above the cone z = Vx2 + y2
Evaluate the surface integral (x2 + y' +52 ) ds where S is the part of the cone z = 2- x2 + y2 above the z = 0 plane. The surface integral equals Evaluate the surface integral (x2 + y' +52 ) ds where S is the part of the cone z = 2- x2 + y2 above the z = 0 plane. The surface integral equals
Evaluate the following integral, ∫ ∫ S (x2 + y2 + z2) dS, where S is the part of the cylinder x2 + y2 = 25 between the planes z = 0 and z = 9, together with its top and bottom disks
Provide correct answer Evaluate the surface integral Slo(x2 + y2 +42 ) ds where S is the part of the cone z = 4 - Vx2 + y2 above the z = 0 plane. The surface integral equals 271.62.pl
(8 points) Evaluate the surface integral SF. dS where F = (1, 32, 3y) and S is the part of the sphere x2 + y2 + z2 = 4 in the first octant, with orientation toward the origin. SSSF. ds
Problem 3 (8 marks) Evaluate the surface integral JJz"(x+y*)dS , where S s the part of the plane z 3 inside the paraboloid z = x2 + y2. Problem 3 (8 marks) Evaluate the surface integral JJz"(x+y*)dS , where S s the part of the plane z 3 inside the paraboloid z = x2 + y2.
(1 point) Evaluate the surface integral / F. dS where F = (-4x, 3z, – 3y) and S is the part of the sphere x2 + y2 + z2 = 16 in the first octant, with orientation toward the origin. SIsFdS =
Evaluate S Ss y2z2 ds, where S is the part of the cone z = vx2 + y2 that lies between the planes z = 1 and 2 = 2.
Could you do number 4 please. Thanks 1-8 Evaluate the surface integral s. f(x, y, z) ds Vx2ty2 -vr+) 1. f(x, y, z) Z2; ơ is the portion of the cone z between the planes z 1 and z 2 1 2. f(x, y, z) xy; ơ is the portion of the plane x + y + z lying in the first octant. 3. f(x, y, z) x2y; a is the portion of the cylinder x2z2 1 between the planes...