Parameterize S in cylindrical coordinates by the vector function
r(u, v) = (x(u, v), y(u, v), z(u, v))
with
x(u, v) = u cos(v)
y(u, v) = u sin(v)
z(u, v) = 36 - u²
with 0 ≤ u ≤ 3 and 0 ≤ v ≤ 2π. Take the normal vector to S to be
[tex]\vec n = \dfrac{\partial r}{\partial u} \times \dfrac{\partial r}{\partial v} = (2u^2\cos(v),2u^2\sin(v),u)[/tex]
so that the surface element is
[tex]dS = \|\vec n\| \, du\,dv = u \sqrt{1+4u^2}\, du\, dv[/tex]
Then the surface integral is
[tex]\displaystyle \iint_S y^2\,ds = \int_0^{2\pi} \int_0^3 u\sqrt{1+4u^2} \, du\, dv[/tex]
[tex]\displaystyle \iint_S y^2\,ds = 2\pi \int_0^3 u\sqrt{1+4u^2} \, du[/tex]
[tex]\displaystyle \iint_S y^2\,ds = \frac{2\pi}8 \int_0^3 8u\sqrt{1+4u^2} \, du[/tex]
[tex]\displaystyle \iint_S y^2\,ds = \frac\pi4 \int_0^3 \sqrt{1+4u^2} \, d(1+4u^2)[/tex]
[tex]\displaystyle \iint_S y^2\,ds = \frac\pi4 \cdot \frac23(1+4u^2)^{\frac32} \bigg|_0^3 = \boxed{\frac\pi6 \left(37^{\frac32}-1\right)}[/tex]
When making lemonade, 1 over 4 cup of sugar will make 5 glasses of lemonade. How many cups of sugar would be needed to make 22 glasses of lemonade?.
Answer:
1/4 sugar = 5 glasses
1/4 x 22/5 sugar = 5 x 22/5 glasses
22/20 sugar = 22 glasses
1 1/10 cup of sugar = 22 glasses lemonade
Aysha is having tests done to see if her headaches are caused by a brain tumor. She has been placed inside a large donut-shaped structure, which is taking pencil-thin x-rays of her brain while moving in a circle. This exam is a[n].
The head scan by taking X-rays of her brain is a diagnostic CT scan.
Computed tomography is a medical diagnostic test that uses X-rays to obtain cross-sectional images of the inside of the body and the skull.
It is used to quickly examine people who may have internal injuries as a result of accidents or trauma, brain inflammatory processes, detection of benign or malignant tumors.For the examination, the person will be isolated in a machine that emits X-rays, the equipment combines a series of radiological exposures taken from different angles around the head, neck, chest and abdomen.Therefore, we can conclude that computed tomography is a diagnostic test that allows the diagnosis of tumors and head examination.
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Which of the following is not a voluntary activity.
Which substances are necessary for the synthesis and the breakdown of most materials in an organism?.
Enzymes
Explanation:
are the catalyst that require substrate for their function. Almost all the metabolic process in the body for synthesis of any substance requires enzymes.
I hope this is correct :)
A bat emits a sound at a frequency of 3. 00 × 104 hz as it approaches a wall. The bat detects beats such that the frequency of the echo is 900 hz higher than the frequency the bat is emitting. The speed of sound in air is 340 m/s. The speed of the bat is closest to.
Taking into account the Doppler efect, the speed of the bat is closest to 5.02 [tex]\frac{m}{s}[/tex].
The Doppler effect is defined as the apparent frequency change of a wave produced by the relative movement of the source with respect to its observer. In other words, this effect is the change in the perceived frequency of any wave motion when the sender and receiver, or observer, move relative to each other.
The following expression is considered the general case of the Doppler effect:
[tex]f1=f\frac{v+-vR}{v+-vE}[/tex]
Where:
f1, f: Frequency perceived by the receiver and frequency emitted by the issuer respectively. Its unit of measurement in the International System (S.I.) is the hertz (Hz), which is the inverse unit of the second (1 Hz = 1 s⁻¹) v: Velocity of propagation of the wave in the medium. It is constant and depends on the characteristics of the medium. In this case, the speed of sound in air is considered to be 340 m/s vR, vE: Speed of the receiver and the sender respectively. Its unit of measure in the S.I. is the m/s ±, ∓: We will use the + sign:In the numerator if the receiver approaches the sender
In the denominator if the sender moves away from the receiver
We will use the sign -:In the numerator if the receiver moves away from the emitter
In the denominator if the sender approaches the receiver
In this case, a bat emits a sound at a frequency of 3.00×10⁴ Hz= 30,000 Hz as it approaches a wall.
The bat detects beats such that the frequency of the echo is 900 hz higher than the frequency the bat is emitting.
So, you know:
f1= 30,000 Hz + 900 Hz= 30,900 Hzf= 30,000 Hzv= 340 m/svE=vR= vbatReceiver approaches the senderReplacing in the expression is considered the general case of the Doppler effect:
[tex]30900 Hz=30000 Hz\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]
Solving:
[tex]\frac{30900 Hz}{30000 Hz} =\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]
[tex]1.03=\frac{340 \frac{m}{s} +vbat}{340\frac{m}{s} -vbat}[/tex]
1.03×( 340[tex]\frac{m}{s}[/tex] -vbat)= 340 [tex]\frac{m}{s}[/tex] + vbat
1.03×340[tex]\frac{m}{s}[/tex] - 1.03×vbat= 340 [tex]\frac{m}{s}[/tex] + vbat
350.2[tex]\frac{m}{s}[/tex] - 1.03×vbat= 340 [tex]\frac{m}{s}[/tex] + vbat
350.2[tex]\frac{m}{s}[/tex] - 340 [tex]\frac{m}{s}[/tex]= vbat + 1.03×vbat
10.2 [tex]\frac{m}{s}[/tex]= 2.03×vbat
10.2 [tex]\frac{m}{s}[/tex]÷ 2.03 = vbat
5.02 [tex]\frac{m}{s}[/tex]= vbat
In summary, the speed of the bat is closest to 5.02 [tex]\frac{m}{s}[/tex].
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brainly.com/question/17107808https://brainly.com/question/14929897Which of the following devices is used in this experiment to separate the different wavelengths emitted by the light source?.
A spectrometer employs diffraction to divide light into a spectrum, which is a collection of wavelengths.
What different wavelengths emitted by the light source?A light source beam's wavelengths are spectrally isolated using monochromators. A monochromator separates poly chromatic light into a variety of distinct wavelengths.
The most common application of a spectrometer is to measure the wavelengths of electromagnetic radiation (light) that have interacted with a sample.
A sample may reflect, absorb, or transmit incident light; the way the incident light changes as it interacts with the sample is a characteristic of the sample.
When calculating the concentration of a colored solution, the wavelength of maximum absorbance is used because at this wavelength even a small change in concentration can result in a large change in light absorption.
Therefore, spectrometer devices are used in this experiment to separate the different wavelengths emitted by the light source.
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Which of the following team cups is played by only women?.
Answer:
softball.
Explanation:
I think this, because only the girls were allowed to join this. But you have to be specific, because i don't know the following team cups actually is. Hope this helps you though.
A new roller coaster contains a loop the loop.
Answer: Have you ever been to that type of roller coaster?
Explanation: If so cool.
According to john green, why was luther successful with his rebellion when others before him had failed?.
Answer:
As indicated by John Green, Luther's prosperity with the insubordination originated from his capacity to, at first, cause his lessons to resound with laborers and adolescents. Be that as it may, this reverberation didn't keep going long. Luther before long turned his lessons against the workers for the lords and sovereigns.
Explanation:
Thus according to John Green, Luther's capacity to originally made his beliefs appealing to workers and teenagers contributed to the rebellion's success.
Who is Luther?The Renaissance, which resulted in Protestantism becoming the fourth main force in Christendom after Catholic Faith was sparked in part by Martin Luther's convictions.
According to John Green, Luther's success with inappropriate behavior stemmed from his ability to initially make his lectures resonate with workers and teenagers. Whatever the case, this reverberation lasted only a short time.
The workers serving the princes and sovereign states were the target of Luther's teaching soon after. However, this echo was brief. The teachings of Luther soon shifted away from the peasants and toward the kings.
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If there is more than one speaker, how should they be all noted?.
Answer:
By their names. If the names are not known you should mark them as speaker 1, speaker 2, speaker 3, etc.
Explanation:
Tim drives at an average speed of 80km.
Answer:
and? I dont know Tim.
Explanation:
Which of the following is not a possible tax or deduction that could be withdrawn from your paycheck?.
Government often collect taxes from its people in different ways. Sales tax is not a possible tax or deduction that could be withdrawn from your paycheck.
Sales tax often regarded as consumption tax. It ia usually imposed by the government only on the sale of goods and services and not from paycheck.
It is known to be imposed at the point of sale. It is taken by the retailer, and thereafter given to the government.
Conventional or retail sales taxes is simply charged only to the consumer or end user of a good or service.
The full question below
Which of the following is NOT a possible tax or deduction that could show up on your paycheck?
State income tax
Contributions to retirement savings
FICA
Sales tax
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On january 1, 2019, a company issued $400,000 of 10-year, 12% bonds. The interest is payable semi-annually on june 30 and december 31. The issue price was $413,153 based on a 10% market interest rate. The effective-interest method of amortization is used. What is the book value (carrying value) of the bond liability as of june 30, 2019 (to the nearest dollar)?.
The book value of the bond liability is $409811
First of all we have to calculate the cash that was paid for interest
This interest is payable semiannually that is 6 months out of 12 months
6/12 = 0.5
The bond is 12% = 0.12
= 400000 * 0.12 * 0.5
= 24000 dollars
The interest =
413153 * 10% * 0.5
= 20658 dollars
The reduction = 24000-20658
= 3342 dollars
The carrying value after the first payment
= 413153-3342
= $409811
The book value of the bond liability is $409811
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Consider the following line integral. C xy dx + x2y3 dy, c is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4).
It looks like the integral is
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy[/tex]
Let's close the loop by adding a line integral over the line segment joining (1, 4) to (0, 0). Then the closed loop is the triangular region
T = {(x, y) : 0 ≤ x ≤ 1 and 0 ≤ y ≤ 4x}
Since the integrand has no singularities over or on the boundary of T, we have by Green's theorem
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy = \iint_T \left(\frac{\partial(x^2y^3)}{\partial x} - \frac{\partial(xy)}{\partial y}\right) \, dx \, dy = \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx[/tex]
Compute the double integral:
[tex]\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \int_0^1 \int_0^{4x} \left(128x^5 - 4x^2\right) \, dx = \frac{60}3[/tex]
From this result, we subtract the line integral over the extra line segment we added. Parameterize this path by
C' : {(1 - t, 4 - 4t) : 0 ≤ t ≤ 1}
The line integral over C' is
[tex]\displaystyle \int_{C'} xy \, dx + x^2y^3 \, dy = \int_0^1 (1-t)(4-4t)(-dt) + (1-t)^2(4-4t)^3(-4\,dt)[/tex]
[tex]\displaystyle \int_{C'} xy \, dx + x^2y^3 \, dy = \int_0^1 \left(256 t^5-1280 t^4+2560 t^3-2564 t^2+1288 t-260 \right) \, dt = -44[/tex]
so that the line integral over C alone is 60/3 - (-44) = 64.
Find the value of 6.
Answer:
B if your question is same as mine
Explanation:
the definition of ! ( factorial ) is
n! = n(n - 1)(n - 2) ........ × 3 × 2 × 1
6 = 6 × 5 × 4 × 3 × 2 × 1 = 720
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Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?.
Answer:
I think he uses 5 1/2 cups of water.
Answer:
5 1/3
Explanation:
Which historical figure does old major most likely represent? tsar nicholas ii an imperial guard vladimir lenin joseph stalin.
Answer: old major is based on Karl Marx and partially Vladimir Lenin
Explanation:
The historical figure that old major most likely to represent is Vladimir Lenin. The correct option is C.
Who does old Major represent and why?The pig Snowball represents the intellectual revolutionary Leon Trotsky, while Old Major represents either Karl Marx or Vladimir Lenin.
Old Major represents Karl Marx and Vladimir Lenin, who promoted the Communist Party but died before their vision could be realized.
As a result, those who did not fully comprehend the dream were able to twist it to their advantage.
Old Major describes a dream he had the night before in which animals are free, happy, well fed, and treated with dignity in a world free of human tyranny.
He exhorts the animals to do everything possible to make this dream a reality, including overthrowing the humans who claim to be their owners.
Thus, the correct option is C.
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Which detective seems to have more clues about solving the case? bolsa sancho.
Answer:
Sancho
Explanation:
Took the test
Answer:
1 True 2 False 3a parrot 4while he was hiding out 5 Sancho
Explanation:
took the test got a 100
Solve for n. 11(n – 1) + 35 = 3n n = –6 n = –3 n = 3 n = 6.
Answer:
[tex]n = - 3[/tex]
is answer
Bills new porch is rectangular with an area of 50 square feet.
Considering the whole question, the perimeter of the porch is 30 feet.
This is because the whole question is, "Bill's new porch is rectangular, with an area of 50 square feet. if the length of the porch is two times the width, what is the perimeter of the porch?"
Therefore to find the perimeter of the porch, here is the step by step:
Given that the length of the porch is two times the width.
Hence, assume that the width = X
Also, assume that the length = 2X
The general formula here:
50 = X × 2X
X × 2X50 = 2x²
2x²X² = 50 ÷2
50 ÷2X² = 25
25X = √25
√25X = 5
Hence, width = 5 feet.
Given that length of the porch is two times the width = 5 × 2 => 10 feet
Therefore Perimeter of a rectangle = 2 (Length + Breadth)
Put all the values in the formula
Perimeter of the porch = 2 × (5 + 10)
= 2 × (15)
= 30 feet.
Hence, in this case, it is concluded that the correct answer is 30 feet.
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A hydrophobic amino acid r group would be found where in a protein.
Answer:
It will be found on the inside of the protein structure
Which sentences include a proper mla parenthetical citation? check all that apply.
Considering the available options, the sentences that include a proper MLA parenthetical citation include "Mahoney states that "the needs of speakers drive language change" (nsf.gov)."
What is MLA parenthetical citation?MLA parenthetical citation is the citation method that utilizes the author's last name, the page number, or other relevant source information in parentheses from sentences used.
Other sentences that include a proper MLA parenthetical citation include the following:Johnson claims that the English language began to deviate from its Germanic origins (4).In the eighteenth century, English was "departing from its original Teutonic character"(Johnson 4).Hence, in this case, it is concluded that the correct answer is options A, E, and F.
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Write and answer the following in your answer sheet.
West corp. Issued 25-year bonds two years ago at a coupon rate of 5. 3 percent. The bonds make semiannual payments. If these bonds currently sell for 105 percent of par value, what is the ytm?.
Answer:
america
Explanation:
because im black
What detail of the myth is suggested in the poem but not in the painting? What connection between the painting's landscape and the myth does this detail convey?.
The myth shows the moment when the sun melts the wings of Icarus, while the painting does not present this moment. This detail shows that nature contributes to the death of Icarus.
We can arrive at this answer because:
The painting shows only the death of Icarus, showing the moment when he fell into the water and drowned.The purpose of the painting is to show how the universe and all other human beings remained indifferent to Icarus' death.Although the myth also features the death of Icarus, it sets out in more detail.The myth shows why Icarus wanted to use the waxwings and why these wings melted.The myth focuses on nature's action on the death of Icarus, while the painting reinforces the universe's indifference to this death.
This question is about “Landscape of the Fall of Icarus.”
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Answer:
B & C
Explanation:
Y E S
Beth is listening to her friend melissa talk about a recent break-up. Beth wants to give an appropriate listening response to convey to melissa that she there for her friend and shares her point of view. Beth’s best listening response would be which of the following?.
Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.
In communication, listening is very key which follows with a feedback to ensure what is being communicated is rightly decoded by the receiver of a message.
For feedbacks, many types of responses can be given. One of which is giving a listening response.
Types of listening responses include:
EmpathizingQuestioningParaphrasingEvaluatingSilent listeningEmpathizingSupporting.Supporting is a type of listening response whereby the listener shows solidarity with the speaker in a way that reflects the feelings about the speaker.
Therefore, Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.Learn more about listening responses on:
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Sino gusto sumali sa meet ko
ito code:-
zcn-mqti-ssh
UwU
Answer:
hmm...I don't understand
Some numbers are formed with closed paths.
Answer:
what is the question
Explanation:
A hunter carries a firearm while climbing into and out of a tree stand. What is the proper way to get the firearm into and down from the stand?.
Considering the situation described above, the proper way to get the firearm into and down from the stand is to use the "haul line like strong rope, strap or commercially made line to carry the firearms."
This is because carrying firearms to climb a tree is dangerous. It is believed that the additional weight of the gun can lead to loss of balance, thereby making the hunter fall.
In some cases, following the hunter's fall, there may be an accidental discharge which may eventually injure or kill the hunter.
Also, when using a haul line to carry the firearms, the hunter still needs to follow certain precautions to avoid accidental discharge, such as unloading of weapons and turning the muzzle upside down.
Hence, in this case, it is concluded that the correct answer is "haul line like strong rope, strap or commercially made line to carry the firearms."
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What was the role of muslim religious leaders in africa.
Answer: In most cases, the Muslim religious leaders serve also as community leaders and have broad political influence; their visit will contribute to strengthening the diplomatic ties between Israel and Africa.
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