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.
Which strategy used in the above essay appeals to the audience’s sense of logic? a) use of details b) appeal to ethics c) attention grabber d) emotional language.
Answer:
A) Use of details
Explanation:
Got it right on the test :)
Answer:
A) Use of details
Explanation:
A new roller coaster contains a loop the loop.
Answer: Have you ever been to that type of roller coaster?
Explanation: If so cool.
Help plz lol………………………….
Answer:
105/330
Explanation:
drama:
25 students
both:
60 students
sports:
140 students
total:
225 students
330-225=105
Keith has to carry out a photo shoot to capture images of the ocean during the monsoons. What is a recommended practice when shooting in these conditions?.
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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Which correctly applies the distributive property to show an equivalent expression to (8. 6)(–2. 5)? (8)(2) – (0. 6)(0. 5) (8)(–2) – (0. 6)(–0. 5) (8. 6)(2) – (8. 6)(0. 5) (8. 6)(–2) + (8. 6)(–0. 5).
Answer:
the answer is D or the forth answer or (8.6)(–2) + (8.6)(–0.5)
Explanation:
I know because I am doing the test right now
A photographic stop bath contains 160ml of pure acetic acid.
Answer:
Solving for the Percent by Volume
The v/v concentration of acetic acid in the stop bath is 24.6%.
Explanation:
To answer the question, we need to identify certain information stated in the question. Let us write down what’s given:
Volume of solute = 160 mL
Volume of solution = 650 mL
Next, we need to determine what is required, in this case, the percent by volume. Now, let us look at the formula:
v/v concentration = (solute volume / volume of the solution) * 100
Solution:
Percent by Volume = (160 / 650) * 100
Percent by Volume = 0.2461538461538462 * 100
Percent by Volume = 24.61538461538462
Rounded off = 24.6%
Therefore, the final answer is 24.6%
Explanation:
Which President's domestic policy included putting down the Whiskey Rebellion? Question 7 options: Andrew Jackson George Washington James Madison John Adams
Answer:
George Washington
Explanation:
Identify the outlier for the given data: 23, 34, 27, 7, 30, 26, 28, 31, 34.
Answer:
The outlier is 7.
Explanation:
Hope this helps you!
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.
A current of 15 amps flows through a circuit with a resistance of 0. 10 ohms. What is the voltage?.
Answer: I=U/R
U=I*R U=0.10*15=1.5
Explanation:
For the lunch special at a high school cafeteria, students can get either salad or french fries as a side order. The following table shows the number of each side order for the lunch specials purchased on one day, classified by the grade of the student.
The probability that the student that's selected will be in grade 10 given that the student ordered French fries as the side will be 71/248.
From the information given, the number of students that are in grade 10 is 105. Out of all the students, 34 had salad and 71 had French fries. The total students in the school that are French fries was 248.
Therefore, the probability that the student that's selected will be in grade 10 given that the student ordered French fries as the side will be calculated thus:
= Number of students who French fries in grade 10 / Total number of people that had French fries
= 71/248
In conclusion, the correct option is 71/248.
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Determine the minimum mass of hydrogen gas required to produce 226 kj of heat.
By definition, the minimum mass of hydrogen gas required to produce 226 kJ of heat is 1.8697 grams.
The reaction is as follows:
2 H₂(g) + O₂(g) → 2 H₂O(g) ΔH = - 483.5 kJ
In this reaction, you can see that 2 moles of H₂ produces 483.5 kJ of heat. But you want to release 226 kJ of heat.
So you can apply the following rule of three: if 483.5 kJ is released by 2 moles of H₂, 226 kJ of heat is released by when moles of H₂?
[tex]amount of moles of H_{2} =\frac{226 kJx2 moles }{483.5 kJ}[/tex]
amount of moles of H₂= 0.93485 moles
Molar mass is the amount of mass that a substance contains in one mole. In this case, the molar mass of H₂ is 2 [tex]\frac{g}{mole}[/tex].
So, the mass containing 0.93485 moles is calculated as:
0.93485 moles× 2 [tex]\frac{g}{mole}[/tex]= 1.8697 grams
Finally, the minimum mass of hydrogen gas required to produce 226 kJ of heat is 1.8697 grams.
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https://brainly.com/question/9846800?referrer=searchResultshttps://brainly.com/question/24150635?referrer=searchResultsWhich sentence best concludes the paragraph? It is important to understand historical causes as the English language continues to develop. Many people wonder why international communication is so difficult. I can’t wait to see how the English language develops in the future.
Answer: ( Answer A) It is important to understand historical causes as the English language continues to develop
Explanation: because I just took the assignment
The sentence that best concludes the paragraph is that it is important to understand historical causes as the English language continues to develop. Thus, the correct option for this question is A.
What do you mean by Paragraph?A Paragraph may be defined as a collection of sentences that significantly represents some thoughts and ideas to the reader or audience. It is a brief piece of writing that all relate closely to the topic sentence.
According to the context of this question, it is consequential in order to understand the causes and influence of the English language which continues to develop till now. It is the significance of the English language.
Therefore, it is important to understand historical causes as the English language continues to develop is the sentence that best concludes the paragraph. Thus, the correct option for this question is A.
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The heat required to change 1 gram of a solid at its normal melting point.
By definition, the heat required to change 1 gram of a solid at its normal melting point is called heat of fusion.
Latent heat is defined as the energy required by a quantity of substance to change state.
When this change consists of changing from a solid to a liquid phase, it is called heat of fusion and when the change occurs from a liquid to a gaseous state, it is called heat of vaporization.
Fusion is the process by which a solid becomes a liquid phase. In this case, the temperature remains constant throughout the time that the solid turns into a liquid.
This occurs because in the solid phase the molecules are held together forming a rigid crystalline structure, in such a way that the substance has a defined shape and volume. As heat is supplied, the energies of the solid's particles gradually increase. After a certain time, this energy becomes so great that some of the particles exceed the force that kept them in their fixed positions.
In this way, the greatest separation between the particles is associated with the liquid phase.
Thus, the energy absorbed by the substance is used to separate the molecules more than in the solid phase, so that the temperature does not increase during the change of state.
In summary, it is called "heat of fusion", the energy required to change 1 gram of substance from a solid state to a liquid state, without changing its temperature.
In others words, the heat required to change 1 gram of a solid at its normal melting point is called heat of fusion.
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Points b c and d lie on a straight line.
Answer:
Explanation:
continuation?
What is the entropy change for the freezing process of 1 mole of liquid methanol at its freezing temperature (–97. 6˚c) and 1 atm? please report your answer two points past the decimal with the unit j/molk. ∆h˚fus = 3. 17 kj/mol.
Answer:
the value of change in entropy for freezing process of 1 mole of liquid methanol is -18.07 J/mol.k
Explanation:
Entropy is defined as the measure of possible arrangement of the atoms or molecules. Entropy change for the the freezing process mole of 1 liquid methanol at -97.6 degree celcius and 1 atm will be -18.07 J/mol.
The entropy change can be calculated by the given formula:
Thus, the value of change in entropy for freezing process of 1 mole of liquid methanol is -18.07 J/mol.k
(Hope this helps can I pls have brainlist (crown)☺️)
For the freezing of 1 mole of liquid methanol, the change in entropy value is -18.07 J/mol.
What is entropy value?The measure of atoms' or molecules' potential arrangements is known as entropy. Entropy change for one mole of liquid methanol frozen at -97.6 degrees Celsius and one atmosphere is -18.07 J/mol.
The range of entropy is 0 to 1. Depending on the number of classes in your dataset, entropy can be greater than 1, but it still indicates a very high level of chaos. For the sake of convenience, the examples in this blog will have entropy values between 0 and 1.
The "information" a variable contains is measured by its entropy. Now, based on the surprise that this value of the bholds and the number of distinct values that are present in the variable, this amount is approximated.
Thus, it is -18.07 J/mol.
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Identify the type of bonding within each substance.
Answer:
1. Co ( s ) - metallic bonding
2. CoCl₂ ( s ) - ionic bonding
3. CCl₄ ( l ) - covalent bonding
Explanation:
Metallic bonding -
It is the type of bonding present between the atoms of the metals , via the electrostatic interaction between the metal and the delocalized electrons , is known as metallic bonding .
For example ,
Mostly metals show metallic bonding .
Ionic bonding -
It is the type of bonding present between the ions i.e. , the cation and the anion is known as ionic bonding .
For example ,
Mostly ionic compound , like salts show ionic bonding .
Covalent bonding -
It is the type of bonding which is present between shared pair of electrons , is known as covalent bonding .
For example ,
Most of the carbon compounds are capable to show covalent bonding .
Hence , from the question ,
1. Co ( s ) - metallic bonding
2. CoCl₂ ( s ) - ionic bonding
3. CCl₄ ( l ) - covalent bonding
Adam by hugh cook meaning.
the poem focuses on Adam, the first person in Heaven, who had eaten the forbidden fruit. so the message is do what god tells you and if he tells you not to do something don't do it
When you float an ice cube in water, you notice that 90% of it is submerged beneath the surface. Now suppose you put the same ice cube in a glass of some liquid whose density is less than that of water.
Answer:
option c
Explanation:
90% of the body is submerged in water.
Now it is immersed in an unknown liquid whose density is less than the density of water.
Buoyant force acting on the body depends on the volume immersed, density of liquid and gravity.
As the density of liquid is less than the density of water, so the buoyant force acting on the body by the unknown liquid is less than water. So it is submerged less than 90% in this liquid.
Which of the following is a difference between phase i and phase ii of meiosis?(1 point).
AnswerHowever, Meiosis I begins with one diploid parent cell and ends with two haploid daughter cells, halving the number of chromosomes in each cell. Meiosis II starts with two haploid parent cells and ends with four haploid daughter cells, maintaining the number of chromosomes in each cell.:
Explanation:
1/4 as a whole number.
Answer:
0.25
Explanation:
multiply the fraction by the same number by the denominator.
a federal tax is paid to:
A. international government organizations.
B. the state govemment only.
c. both the federal and state government.
D. the federal government only.
Answer:
When the tax collected is credited to the government of the country's account, it is referred to as a federal tax. Federal tax is the money used by the government of a country to pay for the growth and upkeep of the country.
4 t-shirts and a hat costs £31. 00 2 t-shirts and a hat costs £17. 0. How much does a t-shirt cost? how much does a hat cost?.
Answer:
T-Shirt Cost = £7
Hat Cost = £3
Explanation:
Important Information:
4 t-shirts and a hat costs £31.00
2 t-shirts and a hat costs £17.00.
Here we assume t-shirt be x and hat be y.
Explanation/Solution:
Based on the above information, the calculation is as follows:
4x + y = 31
2x + y = 17
Now subtract equation 2 from 1
2x = 14
x = 7
So y is
4(7) + y = 31
28 + y = 31
y = 3
Therefore we can conclude that The t-shirt cost £7 and Hat cost £3.
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 is the correct translation of the sentence into an equation? four less than a number is 12.
Answer: 4 - ? = 12
Explanation: maybe
A story with multiple narrators will usually have a(n) ____________ plot.
Answer:
nonlinear
Explanation:
It has become increasingly popular in young adult novels to have
multiple narrators. Often, this is done through alternating
chapters. One chapter is told from one perspective, while the
next chapter is told from another. This can be done with either
first person or third person limited.
Multiple Narrators
This will likely mean that the plot is nonlinear in such a novel. The
reader will jump from one character and event to another (and
sometimes even see the same event twice, but from different
perspectives).
This is also sometimes called "alternating point of view".
Stories could either have a single or multiple narrator(s). Hence, stories having multiple narrators would usually have a non-linear plot.
Multiple narrators in a story means that characters in the story are numerous, hence, acts and scenes would have to be passed on to these characters from time to time. As for single narrator, this is not the case as the number of actors are very limited.Hence, because multiple narrators often hinders a story to be chronologically ordered, then it would result in a non-linear plot.
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Write an outline the chosen reading text using your preferred format brainly.
I'll write a essay.
What is black? You may have already got an answer, but keep reading because your answer could also be incorrect. You might have the correct solution, but it might not be exactly right so you ought to take your time and keep reading this thoroughly.
You might think black is just defined as a color, but it isn't, just not the right properties to be defined as just a color. The definition of black goes deeper. Black isn't exactly defined as a color because it's the whole absence of light and shine, and also, color. Within the visible art world, black and white, sometimes are usually defined as distinct colors. This is different from the scenario of spectral colors in physics.
Black is really a color which ends up from missing or complete absorption of all visible/invisible light. It's a neutral color, without hue, like white and gray. It's often used symbolically or figuratively to represent darkness of the very darkest color because of the absence of or complete absorption of light; the other of white.
Well black represents darkness, evil, despair, and also the night/the abyss. It is the color accustomed to convey specifically/certain and jurisdiction, and when used because the opposite as white, it is a symbol of the eternal struggle between day and night, well-being and evil/hatred, and right and crime/wrong.
So in conclusion, black represents darkness, evil, and despair, it is a symbol of the eternal struggle between day and night, well-being and evil, between right and wrong. It is the color accustomed to convey specifically/certain and jurisdiction, and it is also the opposite of white. It is not just a color, it's more known as a distant color because it is without light and hue.
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:
