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
Effectus [21]
2 years ago
15

Are the following statements true or false? 1. If F⃗ is a vector field in 3-dimensional space, and W is a solid region with boun

dary surface S, then ∬SF⃗ ⋅dS⃗ =∭Wdiv(F⃗ )dV. 2. If F⃗ and G⃗ are vector fields satisfying div(F⃗ )=div(G⃗ ), then F⃗ =G⃗ . 3. If ∬SF⃗ ⋅dS⃗ =12 and S is a flat disk of area 4π, then div(F⃗ )=3/π. 4. If F⃗ is a vector field in 3-dimensional space satisfying div(F⃗ )=1, and S is a closed surface oriented outward, then ∬SF⃗ ⋅dS⃗ is equal to the volume enclosed by S. 5. If F⃗ is a vector field in 3-dimensional space, then grad(div(F⃗ ))=0⃗ .
Mathematics
1 answer:
Masteriza [31]2 years ago
8 0

Answer:

Step-by-step explanation:

1) True. This is because the divergence of F is 1, thus, F is a linear function. Orientation is given outward to the surface. Linear function double integrated over a surface with outward orientation gives volume enclosed by the surface.

2) True. This is primarily what the Divergence theorem is.

3) False. If F was 3/pi instead of div(F), then the statement would have been true.

4) False. The gradient of divergence can be anything. The curl of divergence of a vector function is 0, not the gradient o divergence.

5) False. While finding Divergence, derivatives are taken for different variables. Since the derivatives of constants are 0, therefore, both the vector functions F and G can be different constant parts of there components even if their divergences are equal.

You might be interested in
TRUE OR FALSE PLEASE HELP ME IM CRYING
igomit [66]

Answer:

nope

Step-by-step explanation:

y= 12

4 0
2 years ago
Read 2 more answers
Ill give brainliest to first right answer!
N76 [4]

Answer:

726

Step-by-step explanation:

Here p = k / q², and 24 = k / 121, or k = 2904

Then p = 2904 / q²

If q = 2, p = 2904 /4 = 726

7 0
2 years ago
On the day before an election in a large city, each person in a random sample of 1,000 likely voters is asked which candidate he
gayaneshka [121]

Answer:

It's not possible to reach a conclusion about who will vote candidate Taylor because this is a random sample and not a population census or experiment.

Step-by-step explanation:

It is impossible to reach a conclusion about the proportion of all likely voters who plan to vote for candidate Taylor because the 1,000 likely voters in the sample represent only a small fraction of all likely voters in a large city.

6 0
3 years ago
Read 2 more answers
Fill in the boxes please
IRINA_888 [86]

Answer:

x=12, DO=45O, G=45, DG=90

Step-by-step explanation:

Mid point means both lenghts are equal

4x-3=2x+21

2x=24

X=12

-----------------

1)4(12)-3=48-3=45

2)2(12)+21=24+21=45

-----------------------------

DO=45

OG=45

DG=90

4 0
3 years ago
Read 2 more answers
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS ASAP PLS
kherson [118]
Answer
2nd one
(2,-2) ordered pair -4 y-intercept
7 0
2 years ago
Read 2 more answers
Other questions:
  • The rate used in the table for calculating compound interest is found by:
    6·1 answer
  • How to work this problem?
    13·1 answer
  • What Is 1/5 as a percentage
    9·2 answers
  • "Which shapes are topologically equivalent to Choice 2?
    14·1 answer
  • 7√6 x √27 is equal to
    7·1 answer
  • In slope-intercept form, what is the equation of the line passing through the points (3, 17) and (7, 25)?
    13·2 answers
  • Find the vertex of the parabola with an equation y=-(-x-2)(x-4)
    13·1 answer
  • The graph below shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet pe
    13·2 answers
  • Plz, Answer if u want brain.
    7·2 answers
  • HELP!! <br> 9. What is the area of triangle AOB?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!