top half of cone Sketch the solid that is inside both z- x2 +2 and x2+v2= 4 with 1s zs3. Then, given f(x,y,z) x2y+z, use the specified coordinate system to set up the integral f(x,y, z)dV over the solid. Cylinder aloans z ra2 2. svt 01 8.0 S using cylindrical coordinates a. oiloo2 Z yni bsbi 2/2 nennam oldibol bas be2 (3 (2)ed&drde (129)e de dede xyly wors eb 3 ee) (s0 n r 2 (s0 P) (0,0 sleyan SAr Intersection 6010 Z 2 b. using spherical coordinates b( = 4 Sind sine4 +t 2 2 P'sin= 2 Qosd=esin'psing (0 nd o oen) 3-310 4oeven) eospzsine 2 1 223 o Cosd3 Sece 3sc 3seio e'sordedede S

Question

Please help. Problem requires set up only.

top half of cone
Sketch the solid that is inside both z- x2 +2 and x2+v2= 4 with 1s zs3. Then, given
f(x,y,z) x2y+z, use the specified coordinate system to set up the integral f(x,y, z)dV over the solid.
Cylinder aloans z ra2
2.
svt
01
8.0
S
using cylindrical coordinates
a.
oiloo2
Z yni bsbi 2/2 nennam oldibol bas be2 (3
(2)ed&drde
(129)e de dede
xyly
wors eb
3
ee) (s0 n
r 2
(s0 P)
(0,0
sleyan
SAr
Intersection
6010
Z 2
b. using spherical coordinates b(
= 4
Sind sine4
+t
2
2
P'sin=
2
Qosd=esin'psing (0 nd o oen)
3-310
4oeven)
eospzsine
2
1 223 o
Cosd3
Sece 3sc
3seio
e'sordedede
S
Expand
Transcribed Image Text

top half of cone Sketch the solid that is inside both z- x2 +2 and x2+v2= 4 with 1s zs3. Then, given f(x,y,z) x2y+z, use the specified coordinate system to set up the integral f(x,y, z)dV over the solid. Cylinder aloans z ra2 2. svt 01 8.0 S using cylindrical coordinates a. oiloo2 Z yni bsbi 2/2 nennam oldibol bas be2 (3 (2)ed&drde (129)e de dede xyly wors eb 3 ee) (s0 n r 2 (s0 P) (0,0 sleyan SAr Intersection 6010 Z 2 b. using spherical coordinates b( = 4 Sind sine4 +t 2 2 P'sin= 2 Qosd=esin'psing (0 nd o oen) 3-310 4oeven) eospzsine 2 1 223 o Cosd3 Sece 3sc 3seio e'sordedede S

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