A lamina has the shape of a portion of sphere x 2 + y 2 + z 2 = a 2 that lies within cone z = x 2 + y 2 . Let S be the spherical shell centered at the origin with radius a, and let C be the right circular cone with a vertex at the origin and an axis of symmetry that coincides with the z-axis. Suppose the vertex angle of the cone is ϕ 0 , with 0 ≤ ϕ 0 ≤ π 2 . Determine the mass of that portion of the shape enclosed in the intersection of S and C . Assume δ ( x , y , z ) = x 2 y 2 z .
A lamina has the shape of a portion of sphere x 2 + y 2 + z 2 = a 2 that lies within cone z = x 2 + y 2 . Let S be the spherical shell centered at the origin with radius a, and let C be the right circular cone with a vertex at the origin and an axis of symmetry that coincides with the z-axis. Suppose the vertex angle of the cone is ϕ 0 , with 0 ≤ ϕ 0 ≤ π 2 . Determine the mass of that portion of the shape enclosed in the intersection of S and C . Assume δ ( x , y , z ) = x 2 y 2 z .
A lamina has the shape of a portion of sphere
x
2
+
y
2
+
z
2
=
a
2
that lies within cone
z
=
x
2
+
y
2
. Let
S
be the spherical shell centered at the origin with radius a, and let
C
be the right circular cone with a vertex at the origin and an axis of symmetry that coincides with the z-axis. Suppose the vertex angle of the cone is
ϕ
0
, with
0
≤
ϕ
0
≤
π
2
. Determine the mass of that portion of the shape enclosed in the intersection of
S
and
C
. Assume
δ
(
x
,
y
,
z
)
=
x
2
y
2
z
.
Robbie
Bearing Word Problems
Angles
name:
Jocelyn
date: 1/18
8K
2. A Delta airplane and an SouthWest airplane take off from an airport
at the same time. The bearing from the airport to the Delta plane is
23° and the bearing to the SouthWest plane is 152°. Two hours later
the Delta plane is 1,103 miles from the airport and the SouthWest
plane is 1,156 miles from the airport. What is the distance between the
two planes? What is the bearing from the Delta plane to the SouthWest
plane? What is the bearing to the Delta plane from the SouthWest
plane?
Delta
y
SW
Angles
ThreeFourthsMe MATH
2
Find the derivative of the function.
m(t) = -4t (6t7 - 1)6
Find the derivative of the function.
y= (8x²-6x²+3)4