Use The Divergence Theorem To Calculate The Surface Integral and Sis a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral.

Answers

Answer 1

Answer: hi your question is incomplete below is the complete question

Use the Divergence Theorem to calculate the surface integral S F dS   with F x y z = , , and S is a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral

answer : surface integral = 384/5 π

Step-by-step explanation:

Representing  the vector field as

F ( x, y , z ) = ( a^3 + y^3 ) + ( y^3 + z^3 ) + ( Z^3 + x^3 ) k

assuming the sphere ( s) with radius = 2 be centered at Origin of the vector field.

Hence the divergence will be represented as :

Attached below is the detailed solution

Use The Divergence Theorem To Calculate The Surface Integral And Sis A Sphere Centered At The Origin

Related Questions

Select the correct answer.
Which statement best defines the term principal?
OA.
It is an arrangement in which you buy now and pay later.
ов.
It is the annual rate of interest a bank charges for a loan.
OC.
It is the original amount of money the bank loans the borrower.
Help me plz

Answers

Answer:

C

Step-by-step explanation:

the bank loans the borrower

hope it help

Please help me find x and y

Answers

Answer:

x = 33

y = 5

Step-by-step explanation:

Line BD splits AC in half so y is also 5Since the triangles are congruent (is known because of the congruence lines) and you know two angles you can find x57+90=147 and 180-147= 33 which is x

A rectangle has a perimeter of 14 cm and length x cm. show that the width of the rectangle is (7-x)cm and hence that the area A of the rectangle is given by the formula A= x(7-x). Draw the graph, plotting x on the horizontal axis with a scale of 2cm to 1 unit, and A on the vertical axis with a scale of 1cm to 1 unit
take x from 0 to 7. From the graph find:
a) the area of the rectangle when x = 2.25cm
b) the dimensions of the rectangle when its area is 9cm^2
c) the maximum area of the rectangle
d) the length and width of the rectangle corresponding to the maximum area
e) what shape of the rectangle has the largest area

Answers

Answer:

B

Step-by-step explanation:

the dimensions of the rectangle when its area is 9cm^2

If f(x)
2x + 3, find f(-2)

Answers

Answer:

2x+3

f(-2)=:2x+3

2(-2)+3

-4+3

= -1

A line passes through the point (8,-4) and has a slope of 5/4

Answers

Answer:

y = 5/4x - 14

Step-by-step explanation:

Given:

Passes through (8, -4)

Slope (m) = 5/4

Slope-intercept equation:

y - y1 = m(x - x1)

y - (-4) = 5/4(x - 8)

y + 4 = 5/4x - 10

y = 5/4x - 14

Pls help, answer within 5 minutes

Answers

Answer: I thin it’s Opposite of 2

Step-by-step explanation:

Answer:

The distance between A and D

Step-by-step explanation:

when it is |-2| (in the box) it changes to 2

It’s simple math I’m just confused

Answers

Answer:

26 units

Step-by-step explanation:

make a proportion: so sides correspond alongside eachother.

so, 15/10 =24/Y, i know you need to solve for x, but you have to find the other blank length.

now cross multiply, 10*24=15*Y

240=15Y

240/15=

Y= 16

now add Y to the length 10 to get X. So you get 10+16=26

pls help me with this, i’ll give brainly

Answers

Answer:

shirts = 15 when pants = 6

15

Step-by-step explanation:

Try two others that are given

shirts / pants = 10 / 4 = 2.5

shirts / pants = 30/12 = 2.5

So shirts/pants = 2.5 = x/6

2.5 = x / 6                            Multiply by 6

2.5 * 6 = x

x = 15

An artist buys a square canvas with a side length of 2.5 feet. What is the area of the canvas. Please help im on a test ;)

Answers

Answer:

The area of the canvas must be 30 feet.

Step-by-step explanation:

The odds of winning a contest are approximately 5:1476. How many winners are there likely to be if there are 50000 participants?

Answers

i think it might be 295

Answer:

Approximately 169

Step-by-step explanation:

Set up as fractions and use cross multiplilcation to solve for the unknown.

These are our fractions from the information we are given; the winners represent the numerators (and x is the unknown, becuase we don't yet know how many winners there will be with 50000 participants). Note that the denominator on the first fraction is (1476 + 5) because we want it to represent TOTAL amount of particpants in the ratio:

[tex]\frac{5}{1481} = \frac{x}{50000}[/tex]

Now cross multiply by multiplying numerators and denominators that are ACROSS from each other, so 5 * 50000 and 1481 * x; now we have:

250000 = 1481x

Now to isolate x (to know its value) we need to divide both sides by 1481, and we are left with:

168.8 = x

But I rounded up to 169.

Find the radian measure of 120 degrees.

Answers

Answer:

The radian :

[tex] \frac{2\pi}{3} [/tex]

Does y= x represent a function

Answers

This is read as “y is a function of x.” The letter x represents the input value, or independent variable. The letter y, or f(x), represents the output value, or dependent variable. Use function notation to represent a function whose input is the name of a month and output is the number of days in that month.

A landowner wants to find the distance d across a pond. The two overlapping right triangles are similar . Using the measurements shown , what is d?

Answers

Answer:

96 m

Step-by-step explanation:

It is given that the two overlapping triangles are similar in the figure.

The landowner wishes to find the distance across the pond. The distance is d.

From the figure, since the two triangles are similar, therefore we can write :

[tex]$\frac{d}{(24+40)}=\frac{60}{40}$[/tex]

[tex]$\frac{d}{64}=\frac{60}{40}$[/tex]

[tex]$d = \frac{60}{40} \times 64$[/tex]

[tex]$d = \frac{6}{4} \times 64$[/tex]

d = 6 x 16

  = 96 m

Therefore, the distance across the pond is d = 96 m

BONUS 1) You take the Math Time Machine into the past to save Julius Caesar and fix the calendar,
but you miss your timestamp and end up in Alexandria a few years early. You wander around before
ending up in front of the Great Library of Alexandria, which is guarded by a sphinx - known in
mythology for their tricky riddles. When you ask the sphinx what year it is, it refuses to answer
unless you solve a math problem. The sphinx shows you a right triangle with a base of 8 and a height
of 6, which you know has an area of 24. Then it tells you that if you that you can remove some
length x off of the 8 side, but if you do that you must add a rectangle under the 8 side with a height
equal to x, thus creating a trapezoid. How much length must you remove from the 8 side so the
trapezoid has the same area as the original triangle? X = 0 doesn't count.
a) X = 2
b) X = 3
c) X = 4
d) X = 5

Answers

Answer:

Gracias por los puntos :D

How to find circumference

Answers


To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14). c=2πr

What is the volume of the given cone ?

Answers

Answer:

235.619 is my answer since I have done V = (pi) radius squared and height/3

Step-by-step explanation:

the answer would be B

The text book store sold a combined total of 326 history and chemistry textbooks in a week. The number of chemistry textbooks sold was 86 less than the number of history textbooks sold. How many textbooks of each type was sold?

Answers

Answer:

The sentence

"The Number of Chem textbooks sold is 86 less than the number of History textbooks"

This seems to be the confusing part.

Now look at it this way...

'If CHM text is 86 less than History text... It also means that History Text is 86 More than CHM'

This expression can be written as

Let History Text be "H"

Let CHM text be "C"

C - 86 = H

or

C=H + 86.......1

First line of this question is interpreted thus

H + C = 326.......2

From eqn 1... C=H+86

Substitute into Eqn 2

H + C=326

H + (H+86)=326

H+H=326-86

2H=240

H=240/2

H=120.

C=H+86

C=120+86

C=206.

This answer is correct... Why?

The key statement says .. The Number of CHM sold is 86 less than History...

Also interpreted as

The Number of CHM – 86 = History

206 - 86 =120.

Have a great day!!!

Find the first five terms that correspond with the following expression.

4n + 2

Answers

Answer:

6,10,14,18,22

Step-by-step explanation:

4n+2

Let n=1  4(1)+2 = 4+2 = 6

Let n=2  4(2)+2 = 8+2 = 10

Let n=3  4(3)+2 = 12+2 = 14

Let n=4  4(4)+2 = 16+2 = 18

Let n=5  4(5)+2 = 20+2 = 22

What is 0.325 written as a percent?

Answers

Answer:

32.5%

Step-by-step explanation:

Answer:

32.5

Step-by-step explanation:

divided by 100 to get percentage

find the quotient of -75 divided (-15)

Answers

Answer:

5

Step-by-step explanation:

-75 divided (-15) = 5

the answer is 5. -75 divided by -15 equals 5

Can anyone help me find the function for this trig graph ? i need a specific answer for the function , 50 pts

Answers

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

GUYS PLEASE HELP ALMOST DUE

Answers

Answer:

1/5

Step-by-step explanation:

y = 12

12 = 1/5 x 60

12= 12

y = 9

9 = 1/5 x 45

9 = 9

and so on and it always results to one fifth

A radioactive substance decays to 30% of its original mass in 15 months. Determine the half-life of this radioactive substance to the nearest tenth. Show your work.

please help

Answers

Answer:

The half-life of this radioactive substance is of 8.6 months.

Step-by-step explanation:

Exponential decay of an amount:

The equation that models an amount after t units of time, subject to exponential decay, is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A radioactive substance decays to 30% of its original mass in 15 months.

This means that [tex]A(15) = 0.3A(0)[/tex]. We use this to find 1 - r.

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.3A(0) = A(0)(1-r)^{15}[/tex]

[tex](1-r)^{15} = 0.3[/tex]

[tex]\sqrt[15]{(1-r)^{15}} = \sqrt[15]{0.3}[/tex]

[tex]1 - r = (0.3)^{\frac{1}{15}}[/tex]

[tex]1 - r = 0.9229[/tex]

So

[tex]A(t) = A(0)(0.9229)^t[/tex]

Determine the half-life of this radioactive substance to the nearest tenth.

This is t for which A(t) = 0.5A(0). So

[tex]A(t) = A(0)(0.9229)^t[/tex]

[tex]0.5A(0) = A(0)(0.9229)^t[/tex]

[tex](0.9229)^t = 0.5[/tex]

[tex]\log{(0.9229)^t} = \log{0.5}[/tex]

[tex]t\log{0.9229} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.9229}}[/tex]

[tex]t = 8.6[/tex]

The half-life of this radioactive substance is of 8.6 months.

The radius of a circle is 18 millimeters. What is the circle's area?

Answers

Area = π × ( radius )^2

Area = π × ( 18 )^2

Area = π × 324

Area = 324 π mm^2

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. Using this estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical store? .78 .50 .28 .22

Answers

Answer:

[tex]p' = 0.22[/tex]

Step-by-step explanation:

Given

[tex]p = \frac{78}{100}[/tex]

Required

Probability that a [tex]customer[/tex] does [tex]not[/tex] live [tex]within[/tex] [tex]50[/tex] miles

To do this, we make use of complement rule;

Which states that:

[tex]p + p' = 1[/tex]

Make p' the subject

[tex]p' = 1 - p[/tex]

So, we have:

[tex]p' = 1 - \frac{78}{100}[/tex]

Express fraction as decimal

[tex]p' = 1 - 0.78[/tex]

[tex]p' = 0.22[/tex]

Suppose we want to choose 5 letters without replacement from 16 distinct letters

Answers

Answer:

16P5

Step-by-step explanation:

16*15*14*13*12

-1/5 and +7 equals two

Answers

what is the question?? because this equation is false?

medical research team is conducting a study to determine whether there is a relationships between aerobic walking and cholesterol levels. A random sample of 315 subjects is selected and represented in the table below. Test the claim that walking and cholesterol levels are related. Include appropriate statistical evidence to support your findings.

Answers

Answer:

Chi-Square and Linearization ... A random sample of 315 subjects is selected and represented in the table below. ... claim that aerobic walking and cholesterol levels are related.

Fill in the missing values for this sequence of numbers.

Identify the start value and operation.

92, 110, ___, 146, ___, ___

Answers

92, 110, 128, 146, 164, 182. ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]92,110,128,146,164,182 \\ ➵ \: 92 + 18 = 110 \\ ➵ \: 110 + 18 = 128 \\ ➵ \: 128 + 18 = 146 \\ ➵146 + 18 = 164 \\ ➵ \: 164 + 18 = 182[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]


Find the first term and the common ratio of the following geometric
sequence: 8, 16, 32, ...

Answers

Answer:

The first term is 8

The common ratio is 2, because the ratio of 8:16 is 1:2 and the ratio of 16:32 is 1:2

Step-by-step explanation:

Answer:

The common ratio of the following geometric sequence is x2 everytime.

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