(Will give brainliest answer)
NEED HELP ASAP! SHOW SOLUTION AND EXPLANATION PLEASE!!

1. Find the volume of the solid that results when the region enclosed by the given curves = ^(−2), = 0, = 0, and = 1 is revolved about the x-axis.  

2. Find the volume of the solid that results when the region enclosed by the given curves = ^(−2), = 0, = 0, and = 1 is revolved about the y-axis.​

(Will Give Brainliest Answer)NEED HELP ASAP! SHOW SOLUTION AND EXPLANATION PLEASE!! 1. Find The Volume

Answers

Answer 1

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the x-axis and the y-axis is 0.77 and 0.7135.

What is the revolution of the curve?

Revolving the region bordered by y = f(x) and the x-axis on the interval [a, b] around the x-axis generates the volume (V) of a solid.

The volume is given as

[tex]\rm Volume = \int _a^b \pi y^2 \ dx[/tex]

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the x-axis.

[tex]\rm Volume = \int _0^1 \pi (e^{-2x})^2 \ dx\\\\\\Volume = \int _0^1 \pi (e^{-4x}) dx\\\\\\Volume = \pi [\dfrac{e^{-4x}}{-4}]_0^1\\\\\\Volume = - \dfrac{\pi}{4} [e^{-4} - e^0]\\\\\\Volume = -\dfrac{\pi}{4} [-0.98168]\\\\\\Volume = 0.77[/tex]

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the y-axis.

[tex]\rm Volume = \pi \left [\int_{0}^{0.135} dy + \int_{0.135}^{1}\left ( \dfrac{\ln x}{-2} \right )^{2}dy \right ]\\\\Volume =0.71375[/tex]

More about the revolution of the curve link is given below.

https://brainly.com/question/14640419

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Related Questions

PLS ANSWER FAST!! WILL GIVE BRAINLIEST!!

Answers

Answer:

500^1/3

Step-by-step explanation:

Since it is a cube root, the exponent is 1/3.

Laura babysat 8 nights during the month of July. She earned $22, $30, $35, $25, $25, $20, and $27 for seven nights. How much did she earn the eighth time if the mean of the data is $26.50?

Answers

Answer:

$28

Step-by-step explanation:

Given:

data = [22,30,35,25,25,20,27]

For eight night, the new list is:

new_data = [22,30,35,25,25,20,27,x]

Mean = 26.50

Mean Formula:

[tex]\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }[/tex]

Therefore:

[tex]\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}[/tex]

Multiply both sides by 8:

[tex]\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}[/tex]

Solve for x:

[tex]\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}[/tex]

Subtract 184 both sides:

[tex]\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}[/tex]

Therefore, she will earn $28 in eighth night

The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.

Answer: $28.

Step-by-step explanation: To solve this problem, we should first find the mean of the data with the seven payments that are given already:

22 + 30 + 35 + 25 + 25 + 20 + 27 = 184.

184 / 7 = 26.2857142857.

In order to figure out how much she made the eighth night with the mean of the data being $26.50, we can pick a number and add it to 184 (the total of the seven payments), and divide the total by 8.  The number we can try is 28. The work is done below:

184 + 28 = 212.

212 / 8 = $26.50.

Therefore, Laura's payment on the eighth night was $28.

Hope this helps! :)


Can anyone help me with my homework

Answers

Step-by-step explanation:

table for y = 3x - 2 and graph

the resulting line.

*

for y = 2x + 2 and

graph the resulting

line.

.

2

- 1

0

1

2

1

-8

--5

-2.

1

2. If Ariana decides to become a CPA, she will
need to continue her education. Her master's
degree will cost $28,500, but as a CPA she will
earn $73,850 each year. How much more will
Ariana earn each year as a CPA than as an
accountant each year?

Answers

Answer:

$5,700

Step-by-step explanation:

she would earn $73,850 annualy(sry for my mistakes im in 6th Grade) and the question says how much more will she arn each year as a CPA than as an accountant each year and she would make 68,150 as an accountant so you would subtract 73,850 by 68,150 and you would get $5,700.

Find the measure of an angle between 0° and 360° coterminal with the given angle.

-540°

Answers

Answer:

Los ángulos coterminales son ángulos que tienen como lado inicial el eje x y tienen el lado terminal común.

Por ejemplo un ángulo de 20º tendría un ángulo cotermiunal en 360º+20º=380º ó en 360º×2+20º= 720º+20º=740º.

a)2560º÷360º =7 ⇒  7×360º+40º, luego 40º será su ángulo coterminal entre 0º y 360º

b) 3.600º÷360º= 10 ⇒ 10×360º+0, luego 0º será su ángulo coterminal entre 0º y 360º

c) 1.090º÷360º= 3 ⇒ 3×360º+10º, luego 10º será su ángulo coterminal entre 0º y 360º

Step-by-step explanation:

Primero lo que necesitas saber es que los ángulos coterminales son ángulos que tienen como lado inicial el eje x y tienen el lado terminal común.

Por ejemplo: un ángulo de 20º tendría un ángulo coterminal en 360º+20º=380º ó en 360º×2+20º= 720º+20º=740º.

Apartir de lo anterior, aplicamos lo siguiente:

2560º÷360º =7 ⇒  7×360º+ 40º,

Respuesta: 40º será su ángulo coterminal entre 0º y 360º.

Carly purchased 9 1/2 pints of ice cream for her party. If each guest will be served exactly 3/5 pints of ice cream what is the greatest number of guests that Carly can serve?

Answers

Answer: 15 guests.

Step-by-step explanation:

As the statement says that Carly has 9 1/2 of ice cream and each guest will be served 3/5 pint of ice cream, to determine the number of guests that she can serve, you have to divide 9 1/2 by 3/5:9 1/2÷3/5. 19/2÷3/5=95/6= 15According to this, the greatest number of guests that Carly can serve is 15 guests.

Given g(x) = x² - 6x - 16, which statement is true?

Answers

The correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". (Correct choice: H)

How to analyze a second orden polynomial with constant coefficients

In this case we have a second order polynomial of the form x² - (r₁ + r₂) · x + r₁ · r₂, whose solution is (x - r₁) · (x - r₂) and where r₁ and r₂ are the roots of the polynomial, which can be real or complex numbers but never both according the fundamental theorem of algebra.

If we know that g(x) = x² - 6 · x - 16, then the factored form of the expression is g(x) = (x - 8) · (x + 2). Hence, the correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". [tex]\blacksquare[/tex]

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910

Determine whether each quadrilateral must be a rectangle. Explain.

Answers

Answer:

All squares must be rectangles.

Step-by-step explanation:

This quadrilateral is known as a square. A square is a closed figure with four sides of equal lengths and four right angles. By definition, a rectangle is a closed figure with four straight sides and four right angles. So comparing both of these definitions, a square must be a rectangle. Rectangles sides are not all equal. This about about the only difference.

Sophie earned a grade of 72% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Sophie get wrong?

Answers

Answer:

56 questions.

Step-by-step explanation:

percent got wrong = 100% - percent got correct.

percent got correct = 72%

percent got wrong = 100%-72% = 28% or 0.28

questions got wrong = total questions * percent got wrong.

total questions = 200

questions got wrong = 200*0.28 = 56 questions

Therefore, Sophie got 56 questions wrong.

Hope this helps!

Please mark as brainliest!

Find the area of each polygon each square on the grid represents 1 square centimeter the answers are mixed up at the bottom of the page cross out the answers as you complete the problems

Answers

Answer:

Step-by-step explanation:

Area of composite shapes:

13) Figure 1:

         Figure1 is a rectangle.

         l = 4 cm & w = 2 cm

Area of figure1 = l * w

                         = 4 * 2

                         = 8 cm²

 Figure2:

              Figure2 is a parallelogram

               base = b = 4 cm

                  h = 4 cm

   Area of figure2 = b * h

                             = 4 * 4

                            = 16 cm²

Area of composite shape = 8 + 16

                                          = 24 cm²

14) Figure1:

       Figure 1 is a trapezium. a & b are parallel sides and h is the height

       a = 4 cm ; b = 6 cm; h = 4 -2 = 2 cm

[tex]\sf Area \ of \ figure1 =\dfrac{(a+b)*h}{2}[/tex]

                        [tex]= \dfrac{(4 +6)*2}{2}\\\\= 10 \ cm^{2}[/tex]

Figure2:

   Figure2 is rectangle. l = 6 cm ; w = 2 cm

  Area of figure2 = 6*2

                             = 12 cm²

Area of composite shape = 10 + 12

                                          = 22 cm²

15) Figure 1 & figure 2:

           Figure 1 and  figure 2 are congruent triangles

             base = b = 3 cm & h= 4 cm

[tex]\sf area \ of \ figure1 \ and \ figure 2 = 2*\dfrac{1}{2}b*h[/tex]

                                        = b *h

                                         = 3 * 4

                                        = 12 cm²

Figure3:

    Figure 3 is a square.

      side =  3 cm

  Area of figure3 = side *side

                             = 3 * 3

                            = 9 cm²

Area of composite shape = 12 + 9

                                          = 21 cm²                      

         

Which number is a solution of the inequality x less-than negative 4? Use the number line to help answer the question. A number line going from negative 9 to positive 1.
-5
-3
0
2

Answers

-5 is the solution to the inequality x < -4 and the interval is the x ∈ (-∞, -4) option first is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

x < -4

The solutions to the above inequality will lie in the region (-∞, -4)

x ∈ (-∞, -4)

From the number line, we can mark the region for the above interval (refer attached picture)

Thus, -5 is the solution to the inequality x < -4 and the interval is the x ∈ (-∞, -4) option first is correct.

Learn more about the inequality here:

brainly.com/question/19491153

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need some help with the question in the image

cheers ​

Answers

Answer:

the other candidate received 1875 votes

Step-by-step explanation:

if you add 50 and 25 percent you get 75 which leaves only 25 percent and to get the number or votes multiply 7500 by 0.25 or 7500 divided by 4

I will award brainliest to whoever correctly answers this!

Answers

Answer:

To find GCF we need to find what these expressions have in common

30x²=5*3*2x²

45x⁵=5*3*3x²x³

Now we can see, that GCF=5*3*x² = 15x²

Answer :

15x²

Step-by-step explanation:

[tex]30x^{2}=2\times \left( 15x^{2}\right) \\45x^{5}=3x^{3}\times \left( 15x^{2}\right)[/tex]

Then the greatest common factor is 15x²

how is a slope triangle and a right triangle related?

Answers

Answer:

A slope triangle is an imaginary triangle that helps you find the slope of a line or a line segment

Step-by-step explanation:

hope this helps

pls mark brainliest

Which type of data deals with causes and/or relationships?

Answers

Categorical



:))))))))))))))))))

Miss Tamika just started an art class. She had 10 children enrolled for the first class. · Before she began the art lesson, she told each of the children to shake hands with ! each of the other children and introduce I themselves. Miss Tamika did not include i herself because she had already met each i of the children. How many handshakes were there between all of the children?​

Answers

Answer:

45 Handshakes.

Step-by-step explanation:

10 people shake hands.

So, each person will shake hands with 9 other people.

Total number of handshakes = 90/2 = 45

Please help it’s due tonight

Answers

Answer:

SQR = 118

RQT = 62

Step-by-step explanation:

SQR + RQT = 180

10x - 22 + 3x + 20 = 180

13x - 2 = 180

13x = 182

x = 14

Answer:

m∠RQT=62°

m∠SQR=118°

Step-by-step explanation:

m∠SQT=m∠SQR+m∠RQT

180°=(10x-22°)+3x+20°

180°=13x-2°

180°+2°=13x

182°=13x

x=182÷13=14°

x=14°

So,

m∠RQT=3(14)+20°=62°

And,

m∠SQR=10(14)-22°=140°-22°

m∠SQR=118°

If f(x) = 3(x + 4), find f(2).

Answers

Answer:

18

Step-by-step explanation:

f(x) = 3(x + 4)

f(2) = 3(2 + 4)

3 x 2 = 6

3 x 4 = 12

f(2) = 6 + 12

f(2) = 18

It is 18 because 3*2 is 6. And 3x4=12 then 6+12=18

What is the answer
2^12=

Answers

Answer:

2^12=2*2*2*2*2*2*2*2*2*2*2*2=4*4*4*4*4*4=16*16*16=256*16=4096

Step-by-step explanation:

The image shows Megan's checkbook register without the balance calculated after each transaction.1. What was Megan's balance after her Skate Inc purchase on 4/16?2. What was Megan's lowest balance recorded? What date did it occur?

Answers

Answer:

Step-by-step explanation:

This is a horrible credit union  they charged $3, just for her to have access to her own money, then they overdraft fee charged  her for $20  :/   she spent 62 dollars , that she had, but b/c they charged her 3 dollars to access her money,  it made her also get the overdraft fees.  This seems like usery to me and this bank should be closed.  Fined ,  and barred from doing business.  >:/  

so on the 11th she was -23  dollars,  she was in debt to her bank 23 dollars,  

88-23=65

on the 16th she was 65-43 = 22    postive :)

Write an equation in slope-intercept form for the graph shown. (1,0) (0,-2)

Answers

Answer:

y= 2x -2

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is they y-intercept

[tex]\textcolor{violet}{\text{\textcircled{1} Find the slope}}[/tex]

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

[tex]slope = \frac{0 - ( - 2)}{1 - 0} [/tex]

[tex]slope = \frac{0 + 2}{1} [/tex]

slope= 2

[tex]\textcolor{violet}{\text{\textcircled{2} \text{Substitute value of slope into m}}}[/tex]

y= 2x +c

[tex]\textcolor{violet}{\text{\textcircled{3} Find c}}[/tex]

Given that the y-intercept occurs at (0, -2), c= -2.

[tex]\textcolor{violet}{\text{\textcircled{4} Substitute the value of c into the equation}}[/tex]

y= 2x -2

NEED HELP FAST PLEASE

Which statement correctly describes the data shown in the scatter plot?



Question 3 options:

The scatter plot shows a positive association


The point (1,1) is an outlier.


The scatter plot shows a negative association


The scatter plot shows no association.

Answers

Answer:

The scatter plot shows a positive association

Step-by-step explanation:

the points show an increasing tendency

When the water was 4 feet from the end of the hose, what was its height above the ground? 3.2 feet 4.8 feet 5.6 feet 6.8 feet

Answers

Answer:

Step-by-step explanation:

a. 3.2 feet

Answer:

When the water was 4 feet from the end of the hose, what was its height above the ground?

3.2 feet <<<CORRECT4.8 feet5.6 feet6.8 feet

Step-by-step explanation:

2022 Edge Unit Review Test

A bookcase has a mass of 20 kilograms. A book in the bookcase has a mass of 500 grams.
How many books of the same mass would it take to equal the mass of the bookcase?
Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

Remark

You have to convert one of the numbers. It doesn't matter which one, but you can't simply divide one into the other the way the numbers stand.

Conversion

20 kilograms = 20 * 1000 grams / kg

20 kilograms = 20000 grams

Formula

Number of books = mass of bookcase / mass of 1 book

Givens

number of books = ??

mass of bookcase = 20000 grams

mass of one book = 500 grams

Solution

number of books = 20000 / 500

number of books = 40

Answer: 40 books =  mass of bookcase

PLEASE ANSWER!
(true or false statements)
Thanks :)

Answers

1) Using the distance formula, we get the length of QR is 13, and so is the length of RS. Therefore, this statement is true.

2) Using the distance formula, we get that TS=13 and QT=3. This means the perimeter is 13+13+13+3=42, so this is also true.

3) ST is 13 but QT is 3, so ST is 13-3=10 units longer than ST, not 9. Therefore, this is false.

4) This is true (just substituting into the distance formula)

Please tell the answer 5*25=

Answers

Answer:

5*25=125

Step-by-step explanation:

Answer:

The answer would be 125

Step-by-step explanation:

Please please help!!!!! Will mark brainliest if correct!!!!!!!
Find the measure of the arc or angle indicated.

A. 118°
B. 62°
C. 124°

Answers

Answer: A

Step-by-step explanation:

Lincoln invested $49,000 in an account paying an interest rate of 6\tfrac{1}{8}6

8

1



% compounded daily. Eli invested $49,000 in an account paying an interest rate of 5\tfrac{5}{8}5

8

5



% compounded continuously. After 20 years, how much more money would Lincoln have in his account than Eli, to the nearest dollar?

Answers

Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.

Hence, for Lincoln, we have that the parameters are as follows:

P = 49000, r = 0.06125, n = 365, t = 20.

Hence the amount will be of:

[tex]A_L(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A_L(20) = 49000\left(1 + \frac{0.06125}{365}\right)^{365 \times 20}[/tex]

[tex]A_L(20) = 166787[/tex]

What is continuous compounding?

The amount is given by:

[tex]A(t) = Pe^{rt}[/tex]

For Eli, we have that r = 0.05625, hence the amount will be given by:

[tex]A(t) = Pe^{rt}[/tex]

[tex]A_E(20) = 49000e^{0.05625 \times 20} = 150931[/tex]

What is the difference?

It is given by:

[tex]D = A_L(20) - A_E(20) = 166787 - 150931 = 15856[/tex]

Lincoln would have $15,856 more in his account than Eli.

More can be learned about compound interest at https://brainly.com/question/25781328

Which functions are linear?
A. y=x - 2
B. y=3/x + 2
C. y = 1/2x + 8
D. y = 2x - 4
E. y = 8x^2 - 2

Answers

Answer:

the linear is letter C

Step-by-step explanation:

Have a great day✧◝(⁰▿⁰)◜✧

Find the mean median mode range for the following data 89 78 91 90 89 97

Answers

Answer:

Mean would be 84, Mode would be 89, Range would be 19.

Step-by-step explanation:

Mean- 89 +78 + 91 + 90 + 89 + 97= 534

534 divided by 6= 89

Mode- There are 2 89's so thats your mode. Mode is your most frequent number.

Range- 97-78=19. For range you have to subtract your highest number by your lowest.

Happy to help you :)

Answer:

Mean: 89

median: 89.5

mode: 89

range: 19

Step-by-step explanation:

MeanMean is the total/amount of itemsthe total = 534the amount of items is 6534/6 = 89Medianthe median is the middle numberthe median for odd lists is the middle between the middle two numbersSort the list low to high : 78 89 89 90 91 97the middle numbers are 89 and 90the middle between these is 89.5ModeMode is the most common number89 appears twice, it is the most commonRangerange is the highest - lowest number97 - 78 = 19
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The outcome variable is what you are measuring in this investigation.Test variable (independent variable):Outcome variable (dependent variable):Data:Record the data from each trial in the data chart below. Be sure to fill in the chart completely.Test One Parent 1: FFParent 2: Ff Phenotype ratio: ________ : ________short fur : long furTest Two Parent 1: FfParent 2: Ff Phenotype ratio: ________ : ________short fur : long furTest Three Parent 1: ffParent 2: ff Phenotype ratio: ________ : ________short fur : long furConclusion:Your conclusion will include a summary of the lab results and an interpretation of the results. Please write in complete sentences.Which genotype(s) and phenotype for fur length are dominant?Which genotype(s) and phenotype for fur length are recessive?If you have a hamster with short fur, what possible genotypes could the hamster have?If you have a hamster with long fur, what possible genotypes could the hamster have?Did your data support your hypotheses? Use evidence to support your answer for each test.Test One:Test Two:Test Three:Which hamsters are the parents of the mystery hamster? Include evidence to prove that they are the correct parents.In this lab, you will investigate how organisms inherit traits.Objectives:explain that every organism requires a set of instructions that specifies its traitsexplain the difference between dominant and recessive traits or allelesrecognize phenotype as the physical expression of the genotyperecognize genotype as the collective sum of all alleles and their specifying traitsanalyze animals to demonstrate evidence of the hereditary information that is passed from one generation to another. Welcome to Hamster Haven!We are the world's largest pet store and research facility dedicated to studying hamster heredity.Inside we have a team of geneticists who oversee the breeding and offspring of the hamsters to ensure that we have many varieties for our customers to choose from.Recently, our team of geneticists has been studying how hamsters inherit fur length.You are invited to join our team to assist in the process.Let's take a look at our geneticist notebook to learn more about how traits are inherited.Let's take a closer look at cells. Inside of each cell is a nucleus. The nucleus is like the command center for the cell and houses all of the cell's genetic material, called chromosomes. Tightly wrapped in the chromosomes are individual proteins, called genes, on strands of DNA.raits are determined by the genes the hamsters inherit.Each hamster can inherit the trait for long fur or the trait for short fur.Let's examine the hamsters that you will be investigating today.Select each hamster to learn more about its dominant and recessive traits.Dominant TraitRecessive Trait Form a quadratic function f(x) for which f(1)=0, f(1)=4, and f(2)=5. Fill in the blank with the correct form of the present perfect tense. ellos ___________ en california por 10 aos. han vivado ha vivido han viviendo han vivido Hector, a manager at Roseland Corp., recently illustrated __________ by promoting two employees because their performance had greatly improved. Group of answer choices empowerment withholding punishment extinction positive reinforcement aversive consequence