In Problems 20 to 31, evaluate each integral in the simplest way possible. ∬ ( ∇ × V ) ⋅ n d σ over the surface consisting of the four slanting faces of a pyramid whose base is the square in the ( x , y ) plane with corners at ( 0 , 0 ) , ( 0 , 2 ) , ( 2 , 0 ) , ( 2 , 2 ) and whose top vertex is at ( 1 , 1 , 2 ) , where v = x 2 z − 2 i + ( x + y − z ) j − x y z k .
In Problems 20 to 31, evaluate each integral in the simplest way possible. ∬ ( ∇ × V ) ⋅ n d σ over the surface consisting of the four slanting faces of a pyramid whose base is the square in the ( x , y ) plane with corners at ( 0 , 0 ) , ( 0 , 2 ) , ( 2 , 0 ) , ( 2 , 2 ) and whose top vertex is at ( 1 , 1 , 2 ) , where v = x 2 z − 2 i + ( x + y − z ) j − x y z k .
In Problems 20 to 31, evaluate each integral in the simplest way possible.
∬
(
∇
×
V
)
⋅
n
d
σ
over the surface consisting of the four slanting faces of a pyramid whose base is the square in the
(
x
,
y
)
plane with corners at
(
0
,
0
)
,
(
0
,
2
)
,
(
2
,
0
)
,
(
2
,
2
)
and whose top vertex is at
(
1
,
1
,
2
)
,
where
v
=
x
2
z
−
2
i
+
(
x
+
y
−
z
)
j
−
x
y
z
k
.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Mathematics for Elementary Teachers with Activities (5th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.