Answers
Answer:
1) ∫₀¹ 2π x (x − x²) dx
4) ∫₀¹ π ((√y)² − y²) dy
Step-by-step explanation:
The solid formed is a hollow, upside down cone. We can either use washer method or shell method to find the volume.
If we use washer method, the thickness of the washers is dy. The outside radius is R = x₂ = √y, and the inside radius is r = x₁ = y.
Therefore, the volume of each washer is:
dV = π (R² − r²) t
dV = π ((√y)² − y²) dy
The total volume is the sum of all washers from y=0 to y=1.
V = ∫ dV
V = ∫₀¹ π ((√y)² − y²) dy
If we use shell method, the thickness of each shell is dx. The radius of each shell is r = x. The height of each shell is h = y₂ − y₁ = x − x².
Therefore, the volume of each shell is:
dV = 2π r h t
dV = 2π x (x − x²) dx
The total volume is the sum of all shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π x (x − x²) dx
Related Questions
Question 3 of 8
Which of the following are measurements for rectangles that are similar to a
rectangle with a width of 10 and a length of 20? Check all that apply.
A. 17 and 34
B. 2.5 and 6
O C. 15 and 30
0 D. 14 and 30
O E. 5 and 10
Answers
what 6.8 into 3 by 4. urgent
Answers
Step-by-step explanation:
5.1 .......... write it fast..........
Write the value of k for which the system of equations x+y-4=0 and 2x+ky-3=0 has no solution.
A. k=2
B. k=-2
C. k=1/2
D. k=-1/2
Do this.... Well it is easy.....
if you done this one I will ask question from physics
Thank You.... ✧༺♥༻✧
Answers
Answer:
c k=1\2......................
4a=23 Solve the equation. 4a=23 a=
Answers
Answer:
4a=23
4a/4 = 23/4
a=5.75
Step-by-step explanation:
One hundred four and twelve hundredths ___ One hundred four and two thousandths
Answers
Answer:
104.12 > 104.002
Step-by-step explanation:
Simplify. 24/36 divided by 9/27
Answers
Please help me! Find the sale price
Answers
Answer:
sale price is $104
Step-by-step explanation:
Given the equation in the problem S=P-0.20P:S = P - 0.20PS = (130.00) - (0.20 · 130.00)S = 130-26S = $104Answer:
$104.00
Step-by-step explanation:
So we know that in the equation:
S = P - 0.20P
P is the original price and S is the sale price, which is also the original price reduced by 20%.
We are also given that the original price of a digital media player is $130.00.
We are asked to find the sales price of that digital media player. To do this, we can plug in $130.00 for P in the given equation, since it is the original price of the digital media player, and solve for S, the sales price:
S = 130 - (0.20)(130)
S = 130 - 26
S = 104
So now we found the sales price of the digital media player, which is $104.00.
I hope you find my answer helpful.
Determine the largest integer value of x in the solution of the following inequality. -5X - 9 > 13
Answers
Answer:
X<-4.5
Step-by-step explanation:
firstly group like terms ,You divide both side by -5 and the answer was -4.5
data was collected
Answers
At the beginning pf the week , naveen had 87 trading cards. On monday he gets 9 more on tuesday he foves 16 away on wensday he us given 3 by a friend on thrusday he sells all of his cards to a collecter the coolecter pays him arate of c for every card that naveen has. If naveen earns 124.50 from the sale what is c the rate that the collecter pays for each card
Answers
124.50/83= 1.50 per card
is 5x-7+3x and 3x-7+5x equivalent
Answers
Answer:
yes
Step-by-step explanation:
5x-7+3x =8x-7
3x-7+5x=8x-7
Since both result are the same, hence the functions are equal
Given the functions 5x-7+3x and 3x-7+5x, we are to check if the functions are equal.
For the function
5x-7+3x
= 5x+ 3x - 7
= 8x - 7
For the function 3x - 7 + 5x
Collect the like terms
3x + 5x - 7
8x - 7
Since both results are the same, hence the functions are equal
Learn more here: https://brainly.com/question/11496139
Can anyone help me with my algebra homework please ?
Answers
Answer:
She will practice 2.5 for week four
Step-by-step explanation:
The table is going by 0.5 so I added 0.5 +2 =2.5
PLEASE HELP FAST
The city council budgeted $536 to buy new garbage cans. If each garbage can costs $67, how
many garbage cans will the city be able to buy?
garbage cans
Submit
Answers
Answer:8 garbage cans
Step-by-step explanation:
The budget is $536 and each garbage can is $67 so you need to divide $536 by $67 and the answer is 8.
if x=3 and y= 2 cm what is the perimeter of the plygon
Answers
Answer:
where is the image then i will comment the ansewr thanks
Step-by-step explanation:
Answer:
99
Hope this helps you guys!
Which coordinate pair represents the reflection of (-4,6)
Answers
Hope this helped! :))
One rectangle is divided into 4 parts how much is one part
Answers
Thank you!
This question is unanswerable unless the answer is 1/4 rectangle.
It cost Mila $5.00 to send 125 text messages. What is the cost of sending text messages, in dollars per text?
Answers
Answer:
0.04 dollars per text
Step-by-step explanation:
5 dollars divided by 125 texts is equal to 0.04 dollars per text. SO just do 5/125 to get your answer
answer is 0.04 in text
Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He paid for the computers using
two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 6% per year. The total finance charges for one year
were $300. How much did each computer cost before finance charges?
Answers
Answer:
300
Step-by-step explanation:
Let x = cost of desktop computer; then x - 250 = cost of laptop computer
converting % to decimals, 9% = 0.09 and 6% = 0.06
Then, 0.09x + (x - 250)0.06 = $300
0.09x + 0.06x - 15 = $300
0.15x = $315
x = $2100
then x - 250 = $1850
Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300
6x4y 12xy2 6x5y3
What is the greatest common factor (GCF) of the monomials shown above?
Answers
Answer:
6xy
Step-by-step explanation:
GCF of the given monomials consists of 3 parts:
Constant coefficient = 6, 12, 6 ⇒ 6Variable x = degree 4, 1 and 5 ⇒ degree 1 Variable y = degree 1, 2 and 3 ⇒ degree 1Combined all, the greatest common factor is 6xy
6x⁴y = 6xy * x³12xy² = 6xy * 2y 6x⁵y³ = 6xy* x⁴y²(HELP ASAP) Maria records her distance from home over time. The values are shown in the table below. Find her average speed over the first 4 hours.
Answers
Answer:
Step-by-step explanation:
Average=total distance/totaltime
=60+110+180+220/1+2+3+4
=570/10
=57miles/hour
its a image, i attached here.
Answers
Answer:
Step-by-step explanation:
First expression
54+11 =65
second expression
7x+13x= 20x
Third expression
(7x+54)+(13x+11)
7x+54+13x+11
(7x+13x)+(54+11)
20x+65
Fourth expression
In your own opinion, how does the problem in the middle relate to the problems on the side?
from the above first two expression
first value of each expression was combined to make 7x+54
second value of each expression was combined to make 13x+11
Anyone ? And plz explain how
Answers
Answer:
Step-by-step explanation:
The formula for the area of a circle is A=πr²
r=6cm in this case
HELP! Due in 10 mins! Pls I rlly need this!!!
Answers
5 (-3.5) + 4 3/4 - 3.25 divided by -4
Answers
Answer:
4
Step-by-step explanation:
Find 60 percent of 199?
Answers
Answer: 79.60%, difference is 119.40
Step-by-step explanation:
Answer:
119.4
Step-by-step explanation:
199/100=1.99
1.99*60=119.4
An ordinary 52-card deck is thoroughly shuffled. You are dealt four cards. (a) What is the probability that all four cards are sevens. (b) What is the probability that at least one of the cards is a seven. (c) What is the probability that none of them are seven. (d) What is the probability that two out the four cards is a seven
Answers
Answer:
a) The probability of getting a seven is 4/52
b) At least one of the cards is a seven=0.2813
c) The probability that none of them are seven= 0.7187
d) The probability that two out the four cards is a seven= 0.043
Step-by-step explanation:
A deck contains 52 cards containing 4 sets of 13 cards . Each set has a seven card in it. Thus there are 4 seven cards in a deck of 52 cards.
a) The probability of getting a seven is 4/52=0.0769
b) At least one of the cards is a seven=
1- P(no seven)
= 1- 4C0 * 48C4/ 52C4= 1- 0.7187= 0.2813
c) The probability that none of them are seven=4C0 * 48C4/ 52C4= 0.7187
d) The probability that two out the four cards is a seven= First card is seven * second Card is seven * two cards are not seven
= 4/52* 3/51*48/50= 0.0769*0.0588*0.96= 0.043
Suppose P(C) = 98%; P(D) = 88%; and P(C or D) = 33%.
Find P(C and D).
Can this really be a probability? If not, explain why not.
Answers
Answer:
[tex]P(C\ and\ D) = 153\%[/tex]
Step-by-step explanation:
Given
[tex]P(C) = 98\%[/tex]
[tex]P(D) = 88\%[/tex]
[tex]P(C\ or\ D) = 33\%.[/tex]
Required
[tex]P(C\ and\ D)[/tex]
In probability, the relationship between the given parameters and the required parameter is:
[tex]P(C\ and\ D) = P(C) + P(D) - P(C\ or\ D)[/tex]
Substitute values in the above formula
[tex]P(C\ and\ D) = 98\% + 88\% - 33\%[/tex]
[tex]P(C\ and\ D) = 153\%[/tex]
No, it can't be a probability
Because [tex]P(C\ and\ D) > 100\%[/tex]
In comparing different job opportunities, you found that firm A will start your salary at
RM25000 per year and guarantee you a raise of RM1200 each year while firm B will start
your salary at RM28000 per year but will guarantee you a raise of RM900 each year.
(a) In what year of service the yearly salary from both firm will be the same?
(b) In what year of service the total salary from both firm will be the same?
(c) Hence, state the firm for which you should choose if you plan to work for 25 years.
Answers
Answer: the answer i think is c
A 3-mi cab ride cost $7.90. A 9-mi cab ride cost $18.70
Answers
Answer:
The 3 mile cab ride includes a basic charge as well as the cost for the distance covered. For a 6 mile trip, the cost ...
16.56 divided by 0.08=
Answers
Answer:207
Step-by-step explanation: