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
adelina 88 [10]
3 years ago
9

Suppose f⃗ (x,y,z)=⟨x,y,4z⟩f→(x,y,z)=⟨x,y,4z⟩. let w be the solid bounded by the paraboloid z=x2+y 2 z=x2+y2 and the plane z=9.z

=9. let ss be the closed boundary of ww oriented outward. (a) use the divergence theorem to find the flux of f⃗ f→ through s.
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0
\mathbf F(x,y,z)=\langle x,y,4z\rangle

By the divergence theorem, the surface integral taken over S,

\displaystyle\iint_S\mathbf F\,\mathrm dS

is equivalent to the triple integral of the divergence of \mathbf F over W, the space bounded S,

\displaystyle\iiint_W(\nabla\cdot\mathbf F)\,\mathrm dV

We have

\nabla\cdot\mathbf F=\dfrac{\partial x}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial(4z)}{\partial z}=1+1+4=6

The latter integral is then given by

\displaystyle6\iiint_W\mathrm dV=6\int_{|x|\le3}\int_{|y|\le3}\int_{x^2+y^2\le z\le9}\mathrm dz\,\mathrm dy\,\mathrm dx=648
You might be interested in
The Brown Office Rental Company has purchased a new computer for the secretary to use for customer requests. She can type 70 wor
Vladimir [108]
First you want to find how many words she types per hour.
There are 60 minutes in 1 hour.
So multiply 70 words/min times 60 min/ 1 hr to cancel out the minutes.
You will get 4200 words / hr
Then multiply 4200 by 4 and 5
use * as multiplication symbol
4200 words/hr * 4 = 16,800 words/hr
4200 words/hr * 5 = 21,000 words/hr
She will type 16,800 - 21,000 words/hr

So Your answer is going to be letter G
6 0
3 years ago
Find angle B and angle E
Natali [406]

Answer:

x = 9, Angles are 54°

Step-by-step explanation:

First, we need to find x:

7x-9 = 5x+9

+9 +9

7x = 5x+18

-5x -5x

2x = 18

x = 9

Now, we plug our x value in to find our angles.

5(9) + 9 = 54

Angle B = 54°

7(9) - 9 = 54°

Angle E = 54°

(angles are the same due to AAA property)

6 0
3 years ago
FIRST PERSON GETS BRAINLIEST
Sunny_sXe [5.5K]
X = 61 degrees.
Find the number of degrees in a pentagon by using the following formula:
(number of sides - 2)180 = 540.
There are 540 degrees in a pentagon.
Since we know four of the angles, we can subtract them from 540 to get the fifth angle.
540-138-144-107-90 = 61

Hope this helped =)
3 0
3 years ago
Read 2 more answers
How do I solve these problems?
lesya [120]

Domain:\\D:x > 0\\\\\ln x=5.6+\ln(7.5)\ \ \ \ |-\ln(7.5)\\\\\ln x-\ln7.5=5.6\ \ \ |Use\ \log x-\log y=\log\dfrac{x}{y}\\\\\ln\dfrac{x}{7.5}=5.6\ \ \ \ |use\ \log_ab=c\iff a^c=b\\\\\dfrac{x}{7.5}=e^{5.6}\ \ \ \ |\cdot7.5\\\\\boxed{x=7.5e^{5.6}}\in D

\log x=5.6-\log7.5\ \ \ \ |+\log7.5\\\\\log x+\log7.5=5.6\ \ \ \ |use\ \log x+\log y=\log (xy)\\\\\log(7.5x)=5.6\ \ \ \ |use\ \log_ab=c\iff a^c=b\\\\7.5x=10^{5.6}\ \ \ \ |:7.5\\\\\boxed{x=\dfrac{10^{5.6}}{7.5}}\in D

5 0
3 years ago
HELP: How do I graph this?
bonufazy [111]

Answer:

Step-by-step explanation:

C against x

income against sale of x games

for the first equation, the gradient would be 8 and for the second one the gradient would r with a y intercept at 48000

6 0
3 years ago
Other questions:
  • 4/15 =x/1560 pls help
    14·1 answer
  • 100.18 as a mixed number
    15·2 answers
  • Timber a block of cheese that is labeled 4 kg he wants to cut the cheese into blocks that weigh 200 g. How many blocks of cheese
    11·1 answer
  • Resuelve los siguientes sistemas de ecuaciones con dos incógnitas
    10·1 answer
  • Please help please please help
    8·1 answer
  • 10) Colleen paid $19.85 per hour for tennis lessons for 3 hours of instruction. If she gave
    14·1 answer
  • 6. Do 2b + b and 3b have the same value when b is 1, 2, and 3? yes or no
    7·1 answer
  • HElP Me PLEASE
    14·1 answer
  • If you draw all of the diagonals from one vertex of a regular hexagon, how
    12·1 answer
  • 0 y-
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!