For the following exercises, use a CAS and the divergence theorem to compute the net outward flux for the vector fields across the boundary of the given regions D . 417. [T] Use a CAS to find the flux of vector field F ( x , y , z ) = ( e y + x ) i + ( 3 cos ( x z ) − y ) j + z k through surface S , where S is given by z 2 = 4 x 2 + 4 y 2 from 0 ≤ z ≤ 4 , oriented so the unit normal vector points downward.
For the following exercises, use a CAS and the divergence theorem to compute the net outward flux for the vector fields across the boundary of the given regions D . 417. [T] Use a CAS to find the flux of vector field F ( x , y , z ) = ( e y + x ) i + ( 3 cos ( x z ) − y ) j + z k through surface S , where S is given by z 2 = 4 x 2 + 4 y 2 from 0 ≤ z ≤ 4 , oriented so the unit normal vector points downward.
For the following exercises, use a CAS and the divergence theorem to compute the net outward flux for the vector fields across the boundary of the given regions D.
417. [T] Use a CAS to find the flux of vector field
F
(
x
,
y
,
z
)
=
(
e
y
+
x
)
i
+
(
3
cos
(
x
z
)
−
y
)
j
+
z
k
through surface S, where S is given by
z
2
=
4
x
2
+
4
y
2
from
0
≤
z
≤
4
, oriented so the unit normal vector points downward.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Find the range and all the answers. Remark that the range isn’t between -(pi/2) and (pi/2)
One hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table.
Female (F)
Male (F′)
Total
College degree (D)
30
20
50
No college degree (D′)
30
20
50
Total
60
40
100
If a person is selected at random from those surveyed, find the probability of each of the following events.1. The person is female or has a college degree. Answer:
equation editor
Equation Editor
2. The person is male or does not have a college degree. Answer:
equation editor
Equation Editor
3. The person is female or does not have a college degree.
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th 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.