1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
babymother [125]
3 years ago
14

F = 2xi+3yj and σ is the cube with opposite corners at (0,0,0) and (3,3,3), oriented outwards. Find the flux of the flow field F

across σ.
Mathematics
1 answer:
faltersainse [42]3 years ago
6 0

Answer:

the flux of the flow field F across σ = 135

Step-by-step explanation:

Given that :

F = 2xi + 3yj

and σ is the cube with opposite corners at (0,0,0) and (3,3,3) oriented outwards.

Using divergence theorem,

\iint \ F.ds = \iiint \ div.  f \ dV

div \ f = \dfrac{\partial }{\partial x}2x + \dfrac{\partial}{\partial y }(3y)

f = 2 +3 = 5

where ;

F = 2xi + 3yj

Thus , the triple integral can now be ;

= \iiint 5.dV

=5 \iiint \ dV

= 5 \ \int^{3}_{0}\int^{3}_{0}\int^{3}_{0} \ dV

= 5(3)(3)(3)

= 135

You might be interested in
Solve for z<br> answer correctly
Lorico [155]
Z=1 eventually you get 15 divided by 15 giving you Z=1 it’s a long equation
5 0
2 years ago
Read 2 more answers
Find the slope of the line passing through the point (-6,8) and (-9,1)
Ipatiy [6.2K]
Hello!

Y2-y1/x2-x1

1-9/8-6
-8/2

The slope is -4

Hope this helps!

-bambi
5 0
2 years ago
What is true about a figure dilated by a scale factor of 1
motikmotik
Just something that is true or are there choices? If just something true then dialated by 1 is always the same as the original shape.
4 0
3 years ago
I need help with this! Quick ASAP?
sp2606 [1]

Answer:

a) F

b) B, E, D

Step-by-step explanation:

a) The segment with the greatest gradient has the largest change in y-values per unit change in x-values

From the given option, the rate of change of the <em>y </em>to the<em> </em>x-values of B = the gradient = (4 units)/(2 units) = 2

The gradient of F = (-3units)/(1 unit) = -3

The gradient of A = 4/4 = 1

The gradient of C = -2/5

The gradient of D = 2/6 = 1/3

The gradient of E = 3/4

The segment with the greatest gradient is F

b) The steepest segment has the higher gradient

From their calculated we have;

The gradient of segment B = 2 therefore, B is steeper than E that has a gradient of 3/4, and E is steeper than D, as the gradient of D = 1/3

Therefore, we have;

B, E, D.

6 0
3 years ago
Witch of the following could be a horizontal cross-section of a cylinder
vagabundo [1.1K]
The answer is C. Circle

Hope this helps :)
6 0
3 years ago
Other questions:
  • Half-life formula: A = A0(0.5) t/h
    8·2 answers
  • Simplify.<br>5(x+2) + 2(x-5)<br><br>Α.7x-3<br>B. 7x<br>C 7x+ 20<br>D.0<br>Ε. 2x +4​
    8·2 answers
  • What is 5x+2-4x+3 please I need help
    9·1 answer
  • Can someone help me plz
    7·2 answers
  • Which answer choice shows 15.067 rounded to the nearest hundredth?
    6·1 answer
  • Please help me my Math Grade Is a D-
    9·2 answers
  • Raj is a champion marathon runner. He has measured the length of his practice route around his neighborhood and found that it is
    13·1 answer
  • Guys sssssssssss 20charsssssssssssssssssssssssssss
    7·2 answers
  • Mako runs 10 miles in 2 hours. If he continues at this rate, how many miles
    14·2 answers
  • Using square ABCD, calculate the measure of ZEDC, if mZECD = 45°.<br> =
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!