Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.
y = root x
y = 0
x = 3
the x-axis
the y-axis
the line x = 3
the line x = 6

Answers

Answer 1

Answer:

x-axis = [tex]\frac{9\pi }{2}[/tex]

y-axis = [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]

Line x =3 :  [tex]\frac{44\sqrt{3} }{5} \pi[/tex]

Line x = 6 : [tex]\frac{84\sqrt{3}\pi }{5}[/tex]

Step-by-step explanation:

Given lines : y = √x

                     y = 0

                     x = 3

To determine the volumes generated we will use the disk method for each of the lines,

attached below is the detailed solution for  line x =3 , same procedure will be repeated for each value of x and y to obtain the given results

The volume generated  ( x axis )

= [tex]\frac{9\pi }{2}[/tex]

volume generated ( y _axis )

=  [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]

Volume about  x = 3

=  [tex]\frac{44\sqrt{3}\pi }{5}[/tex]

Volume about  x = 6

= [tex]\frac{84\sqrt{3}\pi }{5}[/tex]

Find The Volumes Of The Solids Generated By Revolving The Regions Bounded By The Graphs Of The Equations

Related Questions

A rectangle with an area of 61 units” is dilated by a scale factor of ;. Find the area of
the rectangle after dilation. Round your answer to the nearest lenth, if necessary.

Answers

Answer:

34 units

Step-by-step explanation:

I decided that one side is 61 units and the other is 1 unit, since that would make the area 61 units.

Then I multiplied 61 by 3/4, which equals a new length of 45.75 units, and I also multiplied 1 by 3/4, which equals a new length of 0.75 units.

Finally, I solve for the area of the rectangle:

45.75 x 0.75 ≈ 34 units (rounded to the nearest whole number)

PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what are 3 mathematical facts you can find in a rectangular prism?

Answers

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Answer:According to splashlearn.com they say, "Rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal. A rectangular prism has a rectangular cross section."

I hope this helped!

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Answer:

Rectangular Prism :

A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces.

All the opposite faces of a rectangular prism are equal. 

A rectangular prism has a rectangular cross section.

Rectangular prisms can be of two types, namely right rectangular prism and non-right rectangular prisms

What is the image of (0,12)(0,12) after a dilation by a scale factor of \frac{1}{3} 3 1 ​ centered at the origin?

Answers

Answer:

(1,36)(1,36)

Step-by-step explanation:

My friend asked me what the answer is as a Joke but I really don't know the answer someone please help. I don't want to look bad​

Answers

Answer:

d I believe

Step-by-step explanation:

so they take away certain blocks and they never replaced the 2 lines

Answer:

I think it's C, it looks really tricky.

Step-by-step explanation:

Find the capacity of the tanks with the following internal dimensions. Express the capacity in cubic meters and liters for each tank.​

Answers

Step-by-step explanation:

i) Capacity(Volume) = length x breadth x depth

= 3.2 x 2.9 x 1.5

= 13.92 m³

In litres, 13.92 x 1000 = 139,20 litres

ii) Capacity(Volume) = length x breadth x depth

= 2.5 x 1.6 x 1.3

= 5.2 m³

In litres, 5.2 x 1000 = 5200 litres

iii) Capacity(Volume) = length x breadth x depth

= 7.3 x 3.6 x 1.4

= 36.792 m³

In litres, 36.792 x 1000 = 36,792 litres

please help!!! and show work!!

Answers

Answer:

x = 17

Step-by-step explanation:

area = L x W

45 = (x-2)(x-14)

45 = x² - 14x - 2x + 28

simplify:

x² -16x - 17 = 0

(x + 1)(x -17 ) = 0

x = -1    not applicable

x = 17

Proof:

(17-2)(17-14) = 45

15 x 3 = 45

45 = 45

Please solve this :) Have a nice day

Answers

Answer:

7

Step-by-step explanation:

first you get the area of the square which is 4 then you get the area of the triangle which would be 3 because 2x3=6 then divide by 2 because its a triangle and add the areas of both and its 7

hope this helps ^_^

Acellus
A
-3
-2.
-1
B
The distance AB rounded to the
nearest tenth = [?].
Hint: d= V(x2 – x1)2 + (y2 - y1)2
Enter
haha help plz

Answers

Answer:

[tex]AB = 3.6[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Distance AB

From the graph:

[tex]A = (-2,1)[/tex]

[tex]B = (1,-1)[/tex]

The distance is:

[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]AB = \sqrt{(-2 -1)^2 + (1- -1)^2}[/tex]

[tex]AB = \sqrt{(-2 -1)^2 + (1+1)^2}[/tex]

[tex]AB = \sqrt{13}[/tex]

[tex]AB = 3.6[/tex]

a train leaves a station at 18:20 and arrives its destination at 02:28.How long did it take?​

Answers

Answer:

8 hours and 8 minutes

Step-by-step explanation:

there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.

it a tets please help it due today​

Answers

I believe it’s A hope you get it right

The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 15 cm and the width is 12 cm, how fast is the area of the rectangle increasing

Answers

Answer:

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

Step-by-step explanation:

Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:

[tex]A = w\cdot l[/tex] (1)

Where:

[tex]w[/tex] - Width, in centimeters.

[tex]h[/tex] - Height, in centimeters.

By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:

[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)

Where:

[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.

[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.

If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:

[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]

[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

Desire conducts a survey of all 800 students in her school to find their favorite berry. She graphs the results of the survey the circle graph shown. If the number of students who prefer raspberries doubles, how many students would choose raspberries as their favorite?

A) 80 students
B) 320 students
C) 40 students
D) 160 students

("My teacher gave a hint: The correct percent (double 20% is 40%) but they want to know what is 40% of the total. Set up a proportion.
x 40%
_____ = _____
800 100
Cross multiply and divide to get your answer!")

Answers

Answer:

C) 40 students

Step-by-step explanation:

The correct percent double 20% is 40% but they want to know what is 40% of the total. Set up a proportion.

x 40%

_____ = _____

800 100  

Cross multiply and divide to get your answer!

Question 2
There are 8 students in a discussion section: 3 boys and 5 girls.
If the teacher picks a group of 1 at random, what is the probability that everyone in the
group is a boy?
3/8
1/3
110
Submit answer
Exit
wl
Chin

Answers

Answer:

3/8

Step-by-step explanation:

this is because there are 8 students in all and only three of them are boys

Someone please help me find the value of X

Answers

Answer:

2

Step-by-step explanation:

In AIJK, i = 270 cm, j = 170 cm and _K=122°. Find the area of AIJK, to the
nearest square centimeter.

Answers

9514 1404 393

Answer:

  19,463 cm²

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)ij·sin(K)

Filling in the values, we find the area to be ...

  A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²

I need help on this cans someone help me plsssss

Answers

Answer:

Step-by-step explanation:

Answer:

I have answerd now you can mark him brainliest :D

Step-by-step explanation:

A company has a maximum advertising budget of $100,000 for the year. It
will be using two different platforms of advertising: online ads and billboards. Each online ad purchased will cost $15,000 for the year, and each billboard will cost $10,000 for the year. The company will not spend more than 60% of its overall budget on one of the platforms.Given that x represents the number of online ads purchased and y represents the number of billboards purchased, create a system of inequalities modeling the scenario. Select all that apply.

Answers

Answer:

Step-by-step explanation:

this is for all the linemen out there respect the gut (im a RT and DE)

Answers

Answer:

oh

Step-by-step explanation:

925 at 2% for 2.4 years

Answers

Answer:

Step-by-step explanation:

The ratio of dogs to cats at the Humane Shelter is 3:9. If there are 45 dogs at the Humane Shelter, how many cats are there?
A. 405
B. 120
C. 135
D. 110​

Answers

Answer:

c) 135

Step-by-step explanation:

dog ratio is 3

45 ÷ 3 = 15

therefore ratio 1 is 15

ratio 9

9×15 = 135

There are 896 people at the school's basketball game. The
stands are divided into 16 equal sections. If each section
has the same number of people, how many people are in
each section?

Answers

There are 56 people in each section

How to determine the number of people?

The given parameters are:

Total = 896

Sections = 16

The number of people per section is

People = Total/Sections

This gives

People = 896/16

Evaluate

People = 56

Hence, there are 56 people in each section

Read more about quotient at:

https://brainly.com/question/629998

#SPJ1

Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?

A. 24 months
B. 48 months
C. 36 months
D. 12 months

Answers

Answer: 24 Months

Step-by-step explanation:

12+x=46
what is the answer to x?

Answers

Answer:

x=34

Step-by-step explanation:

bens parents gave him 20 dollars to buy food from convienience store. Ben is a simple person.He wants to buy one bottle of peach tea that cost .99 dollars and spend the rest of the money to buy as many takis as he can(each bag cost 2.24 dollars)

Write an inequality that helps determine the number of bag of takis ,t, that ben can buy

Answers

Answer:

to eat a healthier meal

Step-by-step explanation:

hope this helps :)

plz give me brainlist

Plz help ASAP WILL MARK U BRAINIEST

Answers

Hope this helps I tried to put the arrows where the answer goes

Help please I will give 50 points

Answers

[tex]7(6 + y)[/tex]

[tex](y \times 6) + (y \times 7)[/tex]

[tex]6(y + 7)[/tex]

[tex](y \times 6) {y}^{2} [/tex]

PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what are 3 mathematical facts you can find in a rectangular prism?
For example,
1. You can find the surface area of the rectangular prism.
2. You can find the volume of a rectangular prism.
3. ???????????????????????????????????????????

Answers

Answer:

you can find the height of a rectangular prism

PLEASE HELP ME!!! PLEASE

Answers

Answer:

it should be (8,-7)

Step-by-step explanation:

(8,-7) I think! Hope this helps!


help plz ill give extra points

Answers

75
Explanation:
90-15= X
X=16

Evaluate 4a^0 where a = -2

Answers

Answer:

[tex]4a^0 = 4 \times 1 = 4[/tex]

4
Explanation:
4(-2)^0= 4(1)= 4
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