Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2​

Answers

Answer 1
Y = 4x*e^(-x) , y=0, x=3 , rotation about y-axis
Graph or sketch the function.
The volumeelement is a cylinder with radius x height y and thickness dx.
Integrate from x=0 to x=3
V = 2 π ∫x*y dx =
2 π ∫x*4x*e^(-x) dx
8 π ∫x²*e^(-x) dx ,
Integrate by part: ∫e^(-x)*x² dx , let u’ = e^(-x) => u = -e^(-x) and v = x² => v’ = 2x
∫e^(-x)*x² dx = -e^(-x)*x² + ∫e^(-x)*2x dx
Integrate by part: ∫e^(-x)*2x dx = -e^(-x)*2x + ∫e^(-x)*2 dx
∫2e^(-x) dx = -2e^(-x).
If we wrap up the above we get :
V = 8 π*[-e^(-x)*(x²+2x+2)]
V = 8 π*[e⁻³(9+6+2) – (-e⁰ *2)]
V = 8 π*[17*e⁻³+ 2] = 28.99363 v.u.

Related Questions

find the least common multiple of 16,30,36 no links or file​

Answers

9514 1404 393

Answer:

  720

Step-by-step explanation:

The LCM of these numbers will have every factor that is part of these numbers.

  16 = 2^4

  30 = 2 × 3 × 5

  36 = 2^2 × 3^2

So, the LCM will have factors of 2^4, 3^2, and 5:

  LCM(16, 30, 36) = 2^4 × 3^2 × 5 = 720

720 = 16×45 = 30×24 = 36×20

The least common multiple is 720.

.......,,,,,,;,,.,.........

Answers

Answer:

lol dababy ur my idol

Step-by-step explanation:

84b /32b

3b

Answer:

3b^2

Step-by-step explanation:

12b^7 / 4b^5  

=12b^7/ 4b^5

=12b^2/4

=3b^2

How many roots does the graphed polynomial function have?

Answers

Answer:

3 roots

The graph crosses the x axis 3 times so there are 3 roots.

Step-by-step explanation:

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

864 inches cubed

Step-by-step explanation:

Since the volume is the 3 units multiplied together, 16 x 9 x 6 is 864.

A cruise ship travels at a constant speed. In 3 hours, the ship travels 72 nautical miles. If the ship continues to travel at the same rate, how far would it travel in 11 hours. (No links) (if it’s wrong I will report and delete) (explain)

Answers

Answer:

264

Step-by-step explanation:

72 divided by 3= 24

24x11=264

Lena is saving money to buy a game. So far she has saved $12, which is three-fourths of the total cost of the game. How much does the game cost?

Answers

Answer:

12(3/4)=9

12/4=3

3•3=9

Determine the location of a' after the image
has been dilated with a scale factor of 2

Answers

The answer is C on edge

20141
ID
NJ008306927
10
Name
Manuel Negron
Tune Remaining
00:24:41
A toy manufacturer is using
this design to package its
latest toy, What is the volume
of the box?
4.5 in.
6.5 in.
-6.5 in.
DinO-BO
315.5 cubic in
389 cubic in
4.5
435.8 cubic in
650.5 cubic in
-10.4 in.
with y width x height)

Answers

What????? Um I’m so sorry I don’t know

Answer:

315.5cubic in

10.4 x 4.5 x 6.5=

Step-by-step explanation:

find the mode, 3,1,9,3,1,2,3
{math}

Answers

3, it’s the number that appears the most

1. A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
a. Find the experimental probability of landing on a 2.
b. Find the experimental probability of not landing on a 6.
c. Compare the experimental probability you found in part a to its theoretical probability.
d. Compare the experimental probability you found in part b to its theoretical probability

Answers

Step-by-step explanation:

(A) you takeway 24 by 2 and add 6=28

2.1.1 Taxable income.
2.1.2 Tax rebates.
2.1.3 Tax threshold.​

Answers

Answer:

Taxable income:

Taxable income includes wages, salaries, bonuses, and tips, as well as investment income and various types of unearned income. ... Taxable income also includes earnings generated from appreciated assets that have been sold during the year and from dividends and interest income.

Tax rebates:

A tax rebate (or tax refund) is money you reclaim from HMRC if you've paid too much tax. Travel tax refunds are a great example. If you're paying your own way to get to temporary workplaces, you can claim back some tax on your travel expenses.

Tax threshold:

The tax threshold is the amount of income below which you do not pay any income tax. The filing threshold is the income amount below which you do not have to file a tax return to Sars.

The first bus stop on a bus route is 4 miles from school. How many yards is the first bus stop from school?

Answers

Answer:

7040 yards

Step-by-step explanation:

1 mile = 1760 yards

1 x 4 miles = 1760 x 4 yards

4 miles = 7040 yards

The answer is 7040 yards

MAFS.4.0A.1.2
2. Eddie has 50 marbles. Manny has m marbles. If Eddie
has 10 times as many marbles as Manny, write an
equation that shows how many marbles Manny has.

Answers

E = 10 * m
(E/10) = m

Please help! I need this answer fast!
Frank left his house at 7 am and drove to the airport at a speed of 50 mph. Lance left his house at 6 am and drove to the same airport at a speed of 55 mph. Frank's house is 150 miles from the airport and Lance's house is 220 miles from the airport.

At what time did Lance arrive at the airport?

Answers

Answer:

87

Step-by-step explanation:

Answer: 10:00 AM

This is the answer, and it’s correct. I did this problem and it’s 10:00 AM

What is 1 1/4 + 3 3/8 = pls show your work

Answers

Answer:

Exact form: 37/8 Decimal form: 4.625 Mixed number form: 4 5/8

Step-by-step explanation:

dd the whole numbers first.

4+\frac{1}{4}+\frac{3}{8}

4+

4

1

+

8

3

2 Find the Least Common Denominator (LCD) of \frac{1}{4},\frac{3}{8}

4

1

,

8

3

. In other words, find the Least Common Multiple (LCM) of 4,84,8.

LCD = 88

3 Make the denominators the same as the LCD.

4+\frac{1\times 2}{4\times 2}+\frac{3}{8}

4+

4×2

1×2

+

8

3

4 Simplify. Denominators are now the same.

4+\frac{2}{8}+\frac{3}{8}

4+

8

2

+

8

3

5 Join the denominators.

4+\frac{2+3}{8}

4+

8

2+3

6 Simplify.

4\frac{5}{8}

4

8

5

what is axis of symmetry?​

Answers

Answer:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

Step-by-step explanation:

Answer:

Step-by-step explanation:

An axis of symmetry is a line that cuts your graph into two equal parts.  In other words, the graph is symmetric about the line.

2(5+xi)-21+5i=3yi^2-3yi

Answers

Answer:

x = -8, y = 11/3

Step-by-step explanation:

Mrs. DeMarco wants to estimate the height of her garage
oor. Select the best benchmark for her to use.
the width of a paperclip
the length of a baseball bat
the height of a license plate
how far she can walk in 20 minutes

Answers

Answer:

length of baseball bat.

Step-by-step explanation:

she can measure the bat and times by how many times she could fit the bat there u know

Challenge #1 Press "Deal" to receive your cards. Drag cards from your hand to the red and blue area GOAL: Create two groups of cards with the SAME SUM using as many cards as possible. Submit 8,7,6,3,2,1​

Answers

Answer:

ok

Step-by-step explanation:

:)

Select the best answer for the question.
16. Phil Smith is a car salesman. Last
week his total sales amounted to
$27,650.00, and he received $1,382.50 in
commission. What is his rate of
commission?
O

Answers

Answer:

5 Percent

Step-by-step explanation:

Last week his total sales amounted to $27,650.00, and he received $1,382.50 in commission. His rate of commission is 5 percent.

please please please help me :(((​

Answers

Answer:

In the last diagram the object is being acted upon by forces not adding up to zero.

Step-by-step explanation:

(Assuming force 1=force 2 in terms of magnitude)

Let forces acting towards the left = -1

Let forces acting toward the right = +1

In the first diagram, force1 is acting towards the left and force2 is acting towards the right:

Total force = force1+force2=-1+1=0

In the second diagram, force1 is acting towards the left and force2 is acting towards the right:

Total force = force1+force2=-1+1=0

In the third diagram, force1 is acting towards the right and force2 is acting towards the left:

Total force = force1+force2=+1-1=0

In the fourth diagram, force1 is acting towards the left and force2 is acting towards the left:

Total force = force1+force2=-1-1=-2. Here, the forces do not add up to zero.

In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)

Answers

Answer:

1568

Step-by-step explanation:

The computation of the minimum sample size is shown below:

Given that

Error E = 11

The population standard deviation [tex]\sigma[/tex] =217

Confidence level 1-α = 95%

Now following formula should be used

n > (Zalpha ÷ 2 × sigma ÷ E)^2

As we know that

Zalpha ÷ 2= 1.96

Now the sample size is

n> (1.96 × 202  ÷ 10)^2

= 1568

Which is the quotient of 40 divided by 3?

Answers

The quotient is 13.3333333333

write 9/6 as a mixed number

Answers

Numerator. This is the number above the fraction line. For 9/6, the numerator is 9.
Denominator. This is the number below the fraction line. For 9/6, the denominator is 6.
Improper fraction. This is a fraction where the numerator is greater than the denominator.
Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 9/6 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

9/6= 1.5 = 1

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (1) and multiply it by the original denominator (6). The result of that multiplication is then subtracted from the original numerator:

9 - (6 x 1) = 3

Step 3: Our mixed fraction

We've now simplified 9/6 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

1
3
6


9/6 can be written as the mixed number 1 1/2.

This means there is 1 whole unit and 1/2 (or half) remaining.

To write 9/6 as a mixed number, we need to divide the numerator (9) by the denominator (6).

When we divide 9 by 6, we get a quotient of 1 and a remainder of 3.

So, 9 divided by 6 is 1 with a remainder of 3.

We can express this as a mixed number by combining the whole number and the fraction:

1 + 3/6

However, the fraction 3/6 can be simplified. Both the numerator and denominator share a common factor of 3.

Dividing both by 3 gives us:

1 + 1/2

Now, we have the whole number part (1) and the proper fraction part (1/2).

Putting it all together, the mixed number representing 9/6 is: 1 1/2

Therefore, 9/6 can be written as the mixed number 1 1/2.

This means there is 1 whole unit and 1/2 (or half) remaining.

So, 9/6 as a mixed number is 1 1/2.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

Francesca deposited $70 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have in 2 years? Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer $

Answers

Answer:  $84

Step-by-step explanation:

70x0.1=7x2=14+70=84

Find x to the nearest tenth

Answers

Answer:

x=30.6

Step-by-step explanation:

X= 30.6
I need 20 characters

The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20. Estimate the percent of the data that are less than 150 or greater than 190.​

Answers

Using the normal distribution, we find that 32% of the data that is less than 150 or greater than 190.​

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

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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

The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20.

This means that [tex]\mu = 170, \sigma = 20[/tex]

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

Less than 150:

As a proportion, it is the p-value of Z when X = 150, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{150 - 170}{20}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.16.

0.16x100% = 16%

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

More than 190:

As a proportion, it is 1 subtracted by the p-value of Z when X = 190, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{190 - 170}{20}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.84.

1 - 0.84 = 0.16

0.16x100% = 16%

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

Estimate the percent of the data that are less than 150 or greater than 190.​

We add both percentages, thus:

16% + 16% = 32%

32% of the data that is less than 150 or greater than 190.​

A similar question is given at https://brainly.com/question/14694610

13. Justify Conclusions Determine whether each statement is sometimes,
always, or never true. Justify your answer.

Answer

A. It is possible for a triangle to have two right angles?

B it is possible for a triangle to have two right angles.

Answers

Answer:

False. It is not possible for a triangle to have two right angles.

Step-by-step explanation:

Every triangle has 3 sides and, therefore, 3 angles (hence its name "tri" (three) "angle" (angles). Always, the sum of the three angles of a triangle will have a value of 180º. Therefore If two of the angles of a triangle were right, that is, they measured 90º, the third angle would be 0º, that is, it would be non-existent.Therefore, it is impossible for two angles of a triangle to be right angles.

1. What is your daily income if you earn $10.75/h as a camp counsellor and you work
10 hours per day?

Answers

$10.75 an hour * 10 hours per day = $107.5
Your daily income is $107.5.

Please help this is due tomorrow!!!

Answers

Answer:

Use the Pythagorean therm

Step-by-step explanation:

A squared(one leg) + B square(one leg) = C(aka the hypotenuse)

brainlist plz

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