(3) (8 pts) Evaluate S Is yzds, where S is the part of the cone z...
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.
Evaluate Syzeds, where s is the part of the cone z= x² + y2 that lies between the planes Z=1 and Z=2
Evaluate SI + y2 - zdS where S is the part of the cone 22 = x2 + y2 that lies between the planes z = 1 and 2 = 4. Preview
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 .
Problem #6: Evaluate the following integral where S is the part of the sphere x2+y2 + z -y2 16 that lies above the cone z = 3Vx+ Enter your answer symbolically, as in these examples pi/4 Problem #6:
Problem #6: Evaluate the...
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 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 -
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
SS zds, s 0:3 evaluate the surface integral where is the cone z = V x² + y2 between the xy-plone and le colid s cut z = 2.
5. Calculate the surface area of the portion of the sphere x2+y2+12-4 between the planes z-1 and z ะไ 6. Evaluate (xyz) dS, where S is the portion of the plane 2x+2y+z-2 that lies in the first octant. 7. Evaluate F. ds. a) F = yli + xzj-k through the cone z = VF+ア0s z 4 with normal pointing away from the z-axis. b) F-yi+xj+ek where S is the portion of the cylinder+y9, 0szs3, 0s r and O s y...
Evaluate
∫∫∫
E
√
x
2
+
y
2
+
z
2
d
V
where
E
lies above the cone
z
=
√
x
2
+
y
2
and between the spheres
x
2
+
y
2
+
z
2
= 1
and
x
2
+
y
2
+
z
2
= 9
.
df (76 KB) 2. Evaluate r2 + y2 + 22 dV x2 + y2 and between the spheres r? + y2 + 2 = 1 and...