Answer: I=U/R
U=I*R U=0.10*15=1.5
Explanation:
Use stokes' theorem to evaluate s curl f · ds. F(x, y, z) = x2 sin(z)i + y2j + xyk, s is the part of the paraboloid z = 4 − x2 − y2 that lies above the xy-plane, oriented upward.
Stokes' theorem says that the surface integral of the curl of the vector field F across the surface S is equal to the line integral of F along the boundary of S.
In this case, the boundary is a circle in the x,y-plane with radius 2. (To see this, set z = 0 and rearrange the equation for the paraboloid as x² + y² = 4.)
Then
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \int_{\partial S} \vec F \cdot d\vec r[/tex]
where
[tex]\vec r = 2\cos(t) \,\vec\imath + 2\sin(t) \,\vec\jmath[/tex]
parameterizes the circular boundary of S with 0 ≤ t ≤ 2π. Then
[tex]d\vec r = \dfrac{d\vec r}{dt}\,\dt = (-2\sin(t)\,\vec\imath + 2\cos(t)\,\vec\jmath)\,dt[/tex]
and the integral becomes
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \int_{\partial S} \vec F \cdot d\vec r[/tex]
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \int_0^{2\pi} \vec F(\vec r(t)) \cdot \frac{d\vec r}{dt}\,dt[/tex]
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s \\= \int_0^{2\pi} ((2\cos(t))^2 \sin(0)\,\vec\imath + (2\sin(t))^2\,\vec\jmath + (2\cos(t))(2\sin(t))\,\vec k) \cdot(-2\sin(t)\,\vec\imath + 2\cos(t)\,\vec\jmath)\,dt[/tex]
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \int_0^{2\pi} 8\sin^2(t)\cos(t) \, dt[/tex]
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \int_0^{2\pi} 8\sin^2(t) \, d(\sin(t))[/tex]
[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec s = \frac83 (\sin^3(2\pi)-\sin^3(0)) = \boxed{0}[/tex]
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.
In casabianca the boy's defining character trait is his (points 5).
The character trait that defines the boy in Casabianca is: his loyalty.
Casabianca is the name of the young boy who is one of the major character sin "Casabianca".
In Casabianca, the boy, out of loyalty and having a strong sense of duty, had to put up bravery to remain at his post on a French ship that caught fire during the attack of the British.
In spite of the obvious dangers, he remained at his post while waiting for orders from the captain (his dad).
Therefore, the character trait that defines the boy in Casabianca is: his loyalty.
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Which of the following describes a consumer installment loan?.
Answer: hums 202 Which of the following describes a consumer installment loan? A. A loan you get based on the tax refund that you expect to receive. B. A loan that is repaid in equal monthly payments for a specific period of time, usually several years. C. A loan where you have to promise to give the bank your assets if you do not repay the loan. D. A loan for consumer goods where you own the item(s) at the end of the payment period.
Explanation: all you have to do is search up the answer to this on brainly
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 of the following is a difference between phase i and phase ii of meiosis.
Answer: Phase I results in two diploid daughter cells and phase II results in four diploid daughter cells
Explanation:
i took the test
Dark matter absorb light emit radiation and been observed directly.
Answer:
does not,
does not,
and has not
Explanation:
Dark matter doesn't absorb light, doesn't emit radiation and has not been observed directly.
What is dark matter?Dark matter can be defined as often invisible substances that are difficult to spot and observed because they don't absorb, emit or reflect light.
This ultimately implies that, dark matter doesn't affect human view because they do not interact or interfere with electromagnetic radiation.
However, humans can see through the (weakly interacting) dark matter but it has not been observed directly by scientists and astronmers.
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An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $6750 with a population standard deviation of $265. A sample of randomly selected 30 days reveals a daily mean revenue of $6280. If you were to test the null hypothesis that the daily mean revenue was $6750, which test would you use?.
Based on the given value of sample size and the population standard deviation, the required test for the null hypothesis is the Z test of population mean.
The Z test of population is used to test the null hypothesis of a Normal distribution. Since, the sample size is large (>30) and the variance of the population is known, the most appropriate test of hypothesis to use is the Z test of population mean.Learn more : https://brainly.com/question/25576166
How did fossils help and teach scientists about the history of the earth brainly.
Answer:
Fossils helped teach scientist by giving information of the species that lived back then.
Explanation:
The fossils have clues on them help identify what they are.
A ratio estimates the risk associated with investing in a firm.
A ratio which estimates the risk associated with investing in a business firm is called: solvency ratio.
Solvency ratio can be defined as a key metric that is typically used to measure the ability of a business firm to meet its long-term debt obligations.
Basically, a solvency ratio measures the financial position of a business firm and the extent to which its assets cover long-term debt obligations (commitments), especially for future payments and the liabilities.
In conclusion, a ratio which estimates the risk associated with investing in a business firm is called solvency ratio.
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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 statements is true of postmodern cultural spaces.
The comparative financial statements of marshall inc. Are as follows. The market price of marshall common stock was $82. 60 on december 31, 20y2.
It should be noted that the working capital will be $1584000, the current ratio is 2.80 while the quick ratio is 2.20.
From the complete information, the working capital is calculated thus:
= Current asset - Current liabilities
= 2464000 - 880000
= 1584000
The current ratio will be:
= Total current asset / Total current liabilities
= 2464000 / 880000
= 2.80
The quick ratio will be calculated thus:
Total current asset = 2464000
Less: Inventory = 420000
Less: Prepaid expenses = 108000.
Total quick assets = 1936000
Total current liabilities = 8800000
Quick ratio = 2.20
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What is the equation for g, which is f(x) = 2x2 + 3x − 1 reflected across the y-axis?.
The answer to your question is:
A generic x by x grid has c blocks moved to create a (x-c) by (x+c) grid. Which of the following equations represents the difference of squares for this situation?.
The expression that represents the difference of squares for this situation is [tex]x^2-c^2[/tex]
Given the generic x by x grid has c blocks moved to create an (x-c) by (x+c) grid, to get the difference of two squares, we will take the product of the expressions as shown:
[tex]=(x-c)(x+c)\\=x^2+xc-xc-c^2\\=x^2 -0-c^2\\=x^2-c^2[/tex]
Hence the expression that represents the difference of squares for this situation is [tex]x^2-c^2[/tex]
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A student runs 120 meters in 10 seconds. What is their speed?.
Answer:
12
Explanation:
speed=distance÷time
A gardener bought 5 rabbits.
...
Thats really nice
What is an example of new technology having a positive impact on sustainability brainly.
Examples of sustainable technology include:
Electric transportation. LED light technology. Solar power.Sustainable technology is a form of technology that have a positive social, economic or environmental impact. Sustainable technologies are innovations with positive impacts with the aim of reducing the negative impact humanity have created on earth.
Examples of sustainable technology include:
Electric transportation. LED light technology. Solar power.Find out more at: https://brainly.com/question/2991944
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:
What is the apparent bond energy of a carbon–sulfur bond in cos? use the bond energies below.
Answer:
carbon
Explanation:
yes
Inspectors for a hospital chain with multiple locations randomly select some of their locations for a cleanliness check of their operating rooms. The inspectors check every operating room in the hospitals that were chosen. What type of sample is this?.
Considering the situation described in the question, the type of sample Inspector used is called Simple Random Sampling
What is Simple Random Sampling?Simple Random Sampling is a random sampling technique in which participants are taken randomly from a given population.
How this situation is a Simple Random Sampling.Here, the given population is the hospital chain with multiple locations; since the inspector only randomly selects some of their locations, this is a simple random sampling.
Type of Random Sampling TechniquesSimple Random SamplingCluster Random SamplingSystematic Random SamplingStratified Random SamplingHence, in this case, it is concluded that the correct answer is Simple Random Sampling
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Select the two recommendations that would decrease the margin of error of the interval.
From the options given, the only option which would result on having a reduced error margin, is to increase the sample size.
Recall :
Margin of Error = Zcritical × σ/√n
Increasing the mean would have no impact on the margin of error as it is not a part of the factors which affects the margin of error value. Increasing the standard deviation, which is the Numerator will result in an increased margin of error value. By raising the confidence level, the critical value of Z will increase, hence widening the margin of error. The sample size, n being the denominator, would reduce the value of error margin.Hence, only the sample size will cause a decrease in the margin of error of the interval.
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A cell with 10 chromosomes undergoes mitosis.
Answer:
Yes every cell undergoes mitosis
Write your own lyrics in english using the music/rhythm of your favorite song.
Do you ever wish your dreams could come true?
Dream of things that won't make you boo.
Dreams can come real,
just make sure you make them feel.
If it's a nightmare make sure you hide up the back stairs,
and if it's a good dream make sure you make it seen.
So I really wish dreams were real,
that way I could start to feel.
Explanation: Sorry it isn't that good I did the best I could. It's also rrrreeeealllllllyyyyy short sooo.......
How many grams of iron (density = 7. 87 g/ml ) would occupy the same volume as 96. 4 g of aluminum (density = 2. 70 g/ml)?.
Explanation:
density = mass / volume
96.4 g of aluminum / volume = 2.7
therefore,
96.4 = 2.7 × volume
volume = 96.4 / 2.7 = 35.7037037... ml
back to iron :
7.87 = mass / 35.7037037...
mass = 7.87 × 35.7037037... = 280.9881481... g
it would be 280.9881481... g of iron in the same volume.
If you believe that you have a water sample that is contaminated with barium, what could you add to it to test it?.
Answer: potassium sulfate
Explanation:
Rosalyn is a teacher who plays a review game with her class. The game involves writing each student's name on an identical slip of paper and selecting students at random. Here's the makeup of her class:.
Answer:
like hw
Explanation:
Which of the following factors best supports the argument in the excerpt?.
Answer:
probaly awnser C
Explanation:
or B or a
What amount of heat, in kj, would be involved in condensing 15. 8 g of ch₃oh? (∆hvap = 38. 0 kj/mol).
Considering the definition of enthalpy of vaporization, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is 18.8 kJ.
When a material changes phase from solid to liquid, or from liquid to gas, a certain amount of energy is involved in this phase change.
In case of phase change from liquid to gas, this amount of energy is known as enthalpy of vaporization (symbolized as ∆Hvap).
So, the enthalpy of vaporization is the amount of energy required to change a unit of mass (for example, moles or kg) of a substance from phase liquid to phase gas at constant temperature and pressure.
In this case, you know that enthalpy of vaporization is ∆Hvap = 38.0 kJ/mol.
On the other side, you want to vaporize 15.8 g of CH₃OH. Then, being the molar mass of the compound 32 [tex]\frac{g}{mole}[/tex] (that is, the amount of mass contained in one mole), the number of moles to be vaporized is:
[tex]15.8 gramsx\frac{1 mole}{32 grams} =0.49375 moles[/tex]
Then, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is calculated taking into account the enthalpy of vaporization by:
0.49375 moles× 38.0 [tex]\frac{kJ}{mol}[/tex]= 18.76 kJ ≅ 18.8 kJ
Finally, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is 18.8 kJ.
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brainly.com/question/21655944?referrer=searchResults brainly.com/question/7580155?referrer=searchResults brainly.com/question/4035699?referrer=searchResults brainly.com/question/11475740 brainly.com/question/2212655?referrer=searchResultsThe word halcyon comes from a greek legend brainly.
Greek Mythology is simply described as different kinds of stories about the gods, goddesses, etc., of Ancient Greeks. The word halcyon originate from a Greek legend is described below;
The word halcyon is known to have its origin from a story that was written in Greek mythology. The story was all about the halcyon bird, who is empowered to calm the rough ocean waves every December because she want to lay in her nest.As a result of the calmness of the waters, halcyon therefore means having a sense of peace or tranquility.
Conclusively, In Greek mythology, there is a goddess Halcyon who is also called Alcyone in Greek. She is known as the daughter of Aeolus, the ruler of the winds.
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