(q12) Find the volume of the solid obtained by rotating the region under the curve
over the interval [4, 7] that will be rotated about the x-axis.
The volume of the solid obtained by rotating the region under the curve over the interval [4, 7] about the x-axis is approximately 111.817 cubic units.
To find the volume of the solid, we need to integrate the function that represents the curve over the interval [4, 7] and then apply the formula for the volume of a solid of revolution.
Let's assume the function that represents the curve is f(x). We want to rotate the region under the curve from x = 4 to x = 7 about the x-axis.
The formula for the volume of a solid of revolution is given by:
[tex]V = \pi \int\limits^a_b { (f(x))^2} \, dx[/tex]
In this case, a = 4 and b = 7, so the formula becomes:
The volume of the solid obtained by rotating the region under the curve over the interval [4, 7] about the x-axis is approximately 111.817 cubic units.
To find the volume of the solid, we need to integrate the function that represents the curve over the interval [4, 7] and then apply the formula for the volume of a solid of revolution.
Let's assume the function that represents the curve is f(x). We want to rotate the region under the curve from x = 4 to x = 7 about the x-axis.
The formula for the volume of a solid of revolution is given by:
[tex]V = \pi \int\limits^a_b { (f(x))^2} \, dx[/tex]
In this case, a = 4 and b = 7, so the formula becomes:
[tex]V = \pi \int\limits^4_7 { (f(x))^2} \, dx[/tex]
To calculate the integral, we need to know the specific function f(x). Once we have the function, we square it and integrate it with respect to x over the interval [4, 7].
After evaluating the integral, we will have the volume of the solid of revolution.
Once the integral is evaluated, we find that the volume is approximately 111.817 cubic units.
For more such questions on volume , click on:
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y-5=4x and y=4x-5 has no solution true of false?
What is -1/4-(-3/5).
Answer:Okay that was easy its 0.35
Step-by-step explanation:
Write this decimal in numbers.
seventy-eight and thirty-six hundredths
Answer:
78.36
Step-by-step explanation: The hundredths place is the second number to the right from the decimal. In this case seventy-eight would be 78, and thirty-six hundredths would be the rest of the numbers. 78.36. The "and" also gives you a hint of where the decimal would be.
Dolly's best ski time is 76 seconds this time is 1 1/3 times the best time score by Andrew what is Andrews best
Answer:
answer is here
Step-by-step explanation:
https://www.mathpapa.com/algebra-calculator.html
My name is Mia Thermopolis. I’m fourteen years old and I live in New York City. I live in an apartment in Greenwich Village, on the west side of the city. I live with my mom, Helen, and my cat, Fat Louie. My mom is an artist. She paints pictures." - The Princess Diaries *
1st person
2nd person
3rd person objective
3rd person limited
3rd person omniscient
Answer: 1st Person
Step-by-step explanation: Mia is talking about herself
Answer:
1st person point of view
Step-by-step explanation:
First you will examine how reflections affect the orientation and location of quaunder
Part A
Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x,y). Choose the x-axis, y-axis, y = x
and y = -x for the lines of reflection. Express your answers in terms of x and y. (Be sure to watch your signs.)
B T U x X Font Sizes AA- :
E 2
Line of reflection Xy
X-axis
y-axis
-X
7:11 PM
4/19/2021
O
994
Type here to search
Answer:
x -y
-x y
y x
-y -x
Step-by-step explanation:
that's its
can someone help me answer these two questions i will give you brainliest
HELP. What is the value of y in the equation 2(2y - 12) = 0? (5 points)
1) 4
12 6
3
3) 7
4) 8
Answer:
6
Step-by-step explanation:
2(2y - 12) = 0
distribute the 2
2·2y - 2·12 = 0
4y - 24 = 0
add 24 to both sides
4y - 24 + 24 = 0 + 24
4y = 24
divide both sides by 4
(4y)/4 = 24/4
y = 6
Simplify 15 – 3(6 – 4)
Answer:
9
Step-by-step explanation:
15-3(6 -4)
=15-3(2)
=15-6
=9
Therefore 9 is the answer
Answer:
9
Step-by-step explanation:
Factor each completely.
2x3 - 9x2 + 9x
Answer:
x(2x−3)(x−3)
Step-by-step explanation:
2x^3−9x^2+9x
= x(2x−3)(x−3)
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
a) the cost for each person is not always the same
b) the train appears to go the same distance every minute
Predicted distance traveled in 10 minutes:
30 km
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answer:
Omg im a big fan anything for you the answer is d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
.
convert 6% to an equivalent decimal
Answer:
0.06
Step-by-step explanation:
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,142 was collected on the sale of 1,330 tickets. How many of each type of ticket were sold?
The basketball game sold
______adult tickets and
_______student tickets.
Answer:
453 adult tickets and 877 student tickets were sold.
Step-by-step explanation:
Given that adult tickets to a basketball game cost $ 5 and student tickets cost $ 1, and a total of $ 3,142 was collected on the sale of 1,330 tickets, to determine how many of each type of ticket were sold the following calculations must be performed:
5 - 1 = 4
1330 x 1 = 1330
3142 - 1330 = 1812
1812/4 = 453
1330 - 453 = 877
877 x 1 + 453 x 5 = X
877 + 2265 = X
3142 = X
Therefore, 453 adult tickets and 877 student tickets were sold.
recipe calls for 1/3 of a cup of milk for 10 cookies how many cups of milk are needed to make 90 cookies
Answer:
just multiply by 9 :)
Step-by-step explanation:
Answer this for me please.
you have a coupon for $4 off the price of any large pizza . you also get a 20% discount on any pizza if you show your student ID. How much would you pay for a large pizza if the cashier applies the coupon first?
Answer:
You would pay 80% of the cost of a large pizza. So if the pizza was $10 you would pay $8 getting $2 off.
Step-by-step explanation:
BRAINLIEST STARS
Simplify:
4+ (15 – 14) X 6
O A. 65
B. 30
O c. 24
D. 10
Karin has 7 more pieces of candy than Danny. Danny has d pieces of candy. Karin uses the expression 7 + d to figure out how many pieces of candy she has.
How many pieces of candy does Karin have if d = 4?
A. 2
B. 28
C. 3
D. 11
Answer:B
Step-by-step explanation:
If d=4 and Danny has 7 more peices all you have to do is multiply. 7x4 and that equals 28
So the final answer is 28 which is choice B
2. If GFE~GJH, find the value of FG.
Answer:
77 unitsStep-by-step explanation:
Given two similar triangles.
Corresponding parts of similar figures have same ratio.
Use ratios to find the value of x:
(4x - 5)/(x + 7) = 35/12.5(4x - 5)/(x + 7) = 14/55(4x - 5) = 14(x + 7)20x - 25 = 14x + 9820x - 14x = 98 + 256x = 123x = 123/6x = 20.5Find the value of FG:
FG = 4*20.5 - 5 = 77A van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which equation could be used to find x, the number of days the car be rented if they want to spend exactly $760.00 on the van rental.
A. 75.00 + 160.00x = 760.00
B. 75.00x – 160.00 = 760.00
C. 75.00 – 160.00x = 760.00
D. 75.00x + 160.00 = 760.00
Please please help. It’s due at 11:59. I don’t understand
Answer:
Step-by-step explanation:
FYI,
C ∪ D = ( - ∞ , 2 ) ∪ [ 6 , ∞ )
C ∩ D = ∅
What is the solution to the equation? X minus 19 equals 1
Answer:
x=20
Step-by-step explanation:
x-19=1
x=1+19
x=20
Answer:
x-19=1
or,x=1+19
or,x=20
Hence,the value of x is 20
Use inverse trigonometric functions to solve each problem.
A flag pole 30 feet tall casts a shadow of 50 feet on the ground. Find,
to the nearest tenth of a degree, the angle of elevation of the sun.
a.30°
b.31°
c.60°
d.61°
Answer:
BBBBBBBBBB
Step-by-step explanation:
Rearrange the equation so uuu is the independent variable.
-12u+13=8w-3
Step-by-step explanation:
[tex] - 12u + 13 = 8w - 3 \\ - 12u + 13 + 3 = 8w \\ - 12u + 16 = 8w \\ w = \frac{ - 12u + 16}{8} \\ w = \frac{ - 3}{2} u + 2[/tex]
I hope that is useful for you :)
Running at an average rate of 10 m/s, a sprinter ran to the end of a track and then jogged back to the starting point at an average of 5 m/s. The sprinter took 60 s to run to the end of the track and jog back. Find the length of the track.
d=300md is equal to 300 m
d=200md is equal to 200 m
d=600md is equal to 600 m
d=150md is equal to 150 m
9514 1404 393
Answer:
200 m
Step-by-step explanation:
Let d represent the length of the track in meters. The relation of interest is ...
time = distance/speed
Then the total time to run and walk back is ...
60 = d/10 + d/5
600 = d + 2d
200 = d . . . . . . . divide by 3
The length of the track is 200 meters.
_____
200 m in 20 seconds is a world-record time for a woman; a very good time for a man.
Which representation shows a proportional relationship between x and y?
Answer:
is taht delta math
Step-by-step explanation:
of so than we r in this togethrr LOL
anyone know the answer
Answer:
I DONT KNOW SOORY
Step-by-step explanation:
jbjnmbgkuyhjn
30 POINT FOR BRAINLIEST ANSWER!!!!!
Answer:
[tex]H)39.6[/tex]
Step-by-step explanation:
To get the mean, you have to add all the numbers, then divide the sum by the amount of individual numbers there are.
In this problem, we see that there are 5 different numbers. If we add all those numbers together, they will equal 198.
[tex]198[/tex] ÷ [tex]5 = 39.6[/tex]