Use either the shell method or the disk/washer method to find the volume of the solid (Calculus Help!!!)
Answers
Integrating with shells is the easier method.
V = 2π ∫₁³ x (√x + 3x) dx
That is, at various values of x in the interval [1, 3], we take n shells of radius x, height y = √x + 3x, and thickness ∆x so that each shell contributes a volume of 2π x (√x + 3x) ∆x. We then let n → ∞ so that ∆x → dx and sum all of the volumes by integrating.
To compute the integral, just expand the integrand:
V = 2π ∫₁³ (x ³ʹ² + 3x ²) dx
V = 2π (2/5 x ⁵ʹ² + x ³) |₁³
V = 2π ((2/5 × 3⁵ʹ² + 3³) - (2/5 × 1⁵ʹ² + 1³))
V = 4π/5 (9√3 + 64)
Related Questions
I need help with this please:
Answers
Answer:
B and C
Step-by-step explanation:
4/7 = 0.57
2/3 > 4/7
is this khan academy?
Answer:
C
Step-by-step explanation:
Because 2/5 equal .4 in decimal. .57 is equal to 4/7 and 2/3 is .666 repeating
Solve the following equation:
l -4 l x 5= x
x =
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find the greatest four digits number which is divisible by 12, 18 and 30
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Answer:
8100
Step-by-step explanation:
8100/12=675
8100/18=450
8100/30=270
Answer:
Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answers
Answer:
12h = 432
Step-by-step explanation:
I need help on this.
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Answer:
the first one
Step-by-step explanation:
Faye has $5,000 that she is going to deposit into two accounts as shown:
Account Deposit Interest Type Interest Rate
#1 $2,000 Simple 5%
#2 $3,000 Compound 4%
Assuming that Faye does not make any additional deposits or withdrawals, find the combined amount of her two accounts after 15 years.
$15,902.83
$3,902.83
$8,902.83
$6,902.83
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Answer:
$8,902.83
Step-by-step explanation:
Answer:
8,902.83
Step-by-step explanation:
I have the same question but with different answers
except 8,902.83
Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them
Answers
Answer:
110,000 (suv) to be shipped to New York City
Step-by-step explanation:
We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:
Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.
n + b = 180,000
Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):
b = n - 40,000
Now that we have a value for b in terms of n, we can plug this value into b in our first equation:
n + (n - 40,000) = 180,000
From here, we can solve:
n + n - 40,000 = 180,000
2n - 40,000 = 180,000
2n = 220,000
n = 110,000
Thus, we have our final answer.
I would appreciate Brainliest, but no worries.
Distance between Train 1 and Train 2 = 95 miles.
Average speed of Train 1 = 45 mph.
Average speed of Train 2 = 60 mph.
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other? (Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. Their relative speed of travel is the sum of their respective speeds, or 105 mph.)
Travel time = hours.
Answers
9514 1404 393
Answer:
19/21 hours, about 54 minutes 17 seconds
Step-by-step explanation:
The time is found from ...
time = distance/speed
time = (95 mi)/(105 mi/h) = 95/105 h = 19/21 h
The trains will meet after 19/21 hours, about 54 minutes, 17 seconds.
Answer:
19
Step-by-step explanation:
In the context of temperature, what would -4 degrees celsius describe?
A.4 degrees above freezing
B.4 degrees below freezing
C.-4 degrees
D.4 degrees below sea level
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what is 2x2+2i know the answer but you answer it
A. 1
B. 3
C.2
D.6
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Richard requests his annual Social Security Statement from the IRS each year. He wants to check how many Social Security credits he received
for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did
not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.
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Ос
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1
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3
Answers
Answer:
Statement from the IRS each year. He wants to check how many Social Security credits he received
for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did
not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.
O
Ob
Ос
Od
1
4
3
Explain distributive property
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Answer:
distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.
Answer:
Look at attachment:
Step-by-step explanation:
Hope this helps! :)
Four divided by a number, b
Please help
Answers
Answer: Can you explain more?
Step-by-step explanation:
Answer:
The expression would be 4 over b : [tex]\frac{4}{b}[/tex]
Step-by-step explanation:
a fraction sign is the same thing as a division sign
20 Points Please help me
Answers
Answer:
98 inches
Step-by-step explanation:
Multiply the top length by the bottom length
(2/3)^4=
am very confuse guys help!!!
Answers
Answer:
16/81
Step-by-step explanation:
Lets break it down
When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times
So lets write the equation
[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]
[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]
[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]
If my answer is wrong pls correct me.
If you like my answer and explanation then please mark me as Brainliest!
-Chetan K
Use the distributive property to multiply the expression.9m (7m+2)
Answers
Answer:
63m^2 + 18m
Step-by-step explanation:
9m x 7m + 9m x 2
63m^2 + 9m x 2
63m^2 + 18m
the ^2 meaning exponent 2
how fast does it take a baseball to reach the plate, when pitched by a professional pitcher in baseball?
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Answer:
The distance from the pitcher's hand to home plate is 60 feet, 6 inches. So…… At 100 mph the ball covers 146.7 feet per second, or 0.412 seconds to get to the batter. Less than half a second!
You construct a picture frame with a diagonal piece attached to the back for support, as shown below. Can you tell from the dimensions whether the corners of the frame are right angles?
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222Answer:
Step-by-step explanation:
As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39
Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
Learn more about rectangles here:
brainly.com/question/15019502
#SPJ2
Brainliest for correct answer asap
Answers
factor by grouping 20i^3-25i^2+4i-5
Answers
The points (3,h) and (10,1) fall on a line with a slope of
4/7 What is the value of h?
Answers
Answer:
h = -3Step-by-step explanation:
Use slope formula:
(1 - h)/(10 - 3) = 4/7(1 - h) / 7 = 4/71 - h = 4h = 1 - 4h = -3Answer:
The answer is h = -3
Step-by-step explanation:
(1 - h)/(10 - 3) = 4/7
(1 - h) / 7 = 4/7
1 - h = 4
h = 1 - 4
h = -3
3. David's salary is based off commission. The commission is 5% of the sales up to and including
$20,000 and 8% of the sales over $20,000 for the month. David sold $37,000 for the month.
What was his salary?
Answers
Answer:$2360
Step-by-step explanation:
37000-20000=17000
20000x0.05=1000
17000x0.08=1360
1000+1360=2360
A bank wants to estimate the difference in the proportion of its "big" customers who have a second account with a different bank and the proportion of its "small" customers who also have an account with another bank. Of the 200 "big" customers randomly selected, 160 claimed to also bank elsewhere. Of the 300 "small" customers randomly selected, 120 claimed to also bank with other banks. Check the conditions for constructing a confidence interval for the difference in proportions.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
To construct confidence interval for difference in proportion ; the following conditions must be met :
1.) The selected samples must have been randomly chosen or selected from a larger population. This is essential in other to eliminate bias.
Each group of samples must be independently chosen. That is, the samples of bug customers chosen must be independent of the sample of small customers selected.
The population from which the samples are drawn must be considerably larger than the sample size. Sample size, n should be ≤ 10% of the population size.
p1 = 160 / 200 = 0.8 ; (1 - p1) = 0.2
p2 = 120 / 300 = 0.4 ; (1 - p2) = 0.6
(p1 - p2) ± Zcritical * sqrt[(p1(1 - p1) /n1) + (p2(1 - p2) / n2)]
Answer: A
Step-by-step explanation:
132.721 rounded to the nearest hundredth.
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find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary
Answers
9514 1404 393
Answer:
1487.31 yd³
Step-by-step explanation:
The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.
The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.
The volume of a cylinder is πr²h.
The total volume of this figure is ...
V = (2/3)πr³ + πr²h
V = πr²(2/3r +h)
V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³
The volume of the figure is about 1487.31 yd³.
Answer:
4187.31 yd³ is thr volume of a fugure
Need help if you can answer through would be great thank you
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Step-by-step explanation:
I don't really know the answer 'cause
check the answer in aswer sheet
3
13
1
3
Area
-
in?
6
N
1
1
2
3
2
1
6.
2
3
4
5
6
7
8
Enter
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Answer:
IF THERE IS A LINK DON'T CLICK ON IT
Step-by-step explanation:
IT IS A COMPUTER TABLET AND PHONE VIRUS
Please help
i will give brainleist
Screen shot down below⬇⬇⬇
Answers
Answer:
ok
Step-by-step explanation:
i think its sependent variable
Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cable to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?
Answers
Answer:
21.11 ft
Step-by-step explanation:
This question would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
13.4² + b² = 25²
179.56 + b² = 625
b² = 625 - 179.56
b = 445.44
find the square root of 445.44
b = 21.11 ft
Which pair of events is dependent?
O A. You get a head and a tail in two coin tosses with two different coins.
O B.
You get a head and a tail in two coin tosses using the same coin twice.
O C. You pick two
numbered billiard balls from a bag of balls one after the other without replacement.
O D. You draw two red cards one after the other with replacement.
Answers
Answer:
It's option C
Step-by-step explanation:
C. You pick two numbered billiard balls from a bag of balls one after the other without replacement.