when we are seated on the drivers seat and about to drive, one safety measure we should endeavour to follow is that we should always fasten our seat belt.
Not only as drivers but as passengers in a vehicle, this will go a long to ensure our safety in the event of a road crash and during impact.
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F(x, y) = e−x + y2, e−y + x2 , c consists of the arc of the curve y = cos(x) from − ???? 2 , 0 to ???? 2 , 0 and the line segment from ???? 2 , 0 to − ???? 2 , 0.
Given that y = cos(x) makes up part of the boundary of C, I suspect you mean the given points to be (-π/2, 0) and (π/2, 0).
I also assume the given vector field is
[tex]\vec F(x,y) = \left\langle e^{-x} + y^2, e^{-y} + x^2 \right\rangle[/tex]
Since [tex]\vec F[/tex] has no singularities on C or in its interior, Green's theorem applies:
[tex]\displaystyle \int_C \vec F(x,y) \cdot d\vec r = \iiint_D \frac{\partial(e^{-y}+x^2)}{\partial x} - \frac{\partial(e^{-x}+y^2)}{\partial y} \, dA = 2 \iiint_D (x + y) \, dA[/tex]
where D is the interior of C, the region
[tex]D = \left\{ (x, y) : -\dfrac\pi2 \le x \le \dfrac\pi2 \text{ and } 0 \le y \le \cos(x) \right\}[/tex]
The integral then reduces to
[tex]\displaystyle 2 \iint_D (x + y) \, dA = 2 \int_{-\frac\pi2}^{\frac\pi2} \int_0^{\cos(x)} (x + y) \, dy \, dx[/tex]
[tex]\displaystyle 2 \iint_D (x + y) \, dA = 2 \int_{-\frac\pi2}^{\frac\pi2} \left( x\cos(x) + \frac12 \cos^2(x) \right) \, dx[/tex]
[tex]\displaystyle 2 \iint_D (x + y) \, dA = 2 \int_{-\frac\pi2}^{\frac\pi2} \left( x\cos(x) + \frac{1 + \cos(2x)}4 \right) \, dx[/tex]
[tex]\displaystyle 2 \iint_D (x + y) \, dA = \frac12 \int_{-\frac\pi2}^{\frac\pi2} \left( 4x\cos(x) + 1 + \cos(2x) \right) \, dx[/tex]
Since 4x cos(x) is an odd function over the symmetric interval [-π/2, π/2], its contribution to the integral is 0, and the remaining integral is trivial.
[tex]\displaystyle 2 \iint_D (x + y) \, dA = \frac12 \int_{-\frac\pi2}^{\frac\pi2} \left( 1 + \cos(2x) \right) \, dx = \boxed{\frac\pi2} [/tex]
Sea level is currently rising at 5 mm/yr, and scientists predict that global warming could cause a rise in sea level of 7 m if left unabated. How long will it take the sea to rise 7 m at the current rate?.
Answer:
1400 years
Explanation:
Let us convert everything to the same units first. For simplicity, I will convert everything to millimeters.
7 m = 7 m x (1000 mm / 1 m) = 7000 mm
Since the rate is 5, we can use this equation:
rate*time=length
5*years=7000
solve
years=1400
Managers at eller manufacturing are considering purchasing a new refrigerated delivery truck that will produce equal annual cash flows of $36,000 for 6 years. The truck’s net present value is $12,780, its cost is $144,000, its useful life is 6 years, and its annual depreciation expense (no salvage value) is $24,000. What is the discount rate used by eller to evaluate this project?.
It should be noted that the discount rate that was used by Eller to evaluate this project is 10%.
From the information given, the following can be depicted:
Annual cash inflows = $36,000 Period of cash inflows = 6 years Cash outlay (initial investment) = $144,000 Depreciation expense = $24,000 Estimated useful of trucks = 6 years Net present value = $12,780It should be noted that the Present Value Annuity Factor at 10% for 6 years is given as 4.355
Therefore, the Present Value of Annuity cash inflows will be
= ($36,000 x 4.355) = $156,780
Less initial investment cash outlay = $144,000
Net present value = $12,780
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English nobles resisted peasant demands such as those described in the passage because agricultural labor in many parts of fourteenth-century afro-eurasia had become scarce as a result of which of the following developments?.
Answer: Significant increase in mortality due to the spread of epidemic diseases.
Explanation:
During the 14th century, many parts of Europe and Asia were completely ravaged by an epidemic plague called The Black Death. It was a form of bubonic plague caused by rats infected by bacteria.
More than half of the population of Europe was killed due to his plague, which immediately creates a shortage of labor. Shortage of labor, including agricultural ones, immediately meant that the living ones would receive a higher wage, to the consternation of the landowners who pushes for legislation that would return the status quo to how it was prior to the Black Death. This enrages the peasants who worked for them; manifesting in several revolts from May to November 1380.
Which of the following is most clearly an example of a theme.
A student is bouncing on a trampoline. At her highest point, her feet are 95 cm above the trampoline. When she lands, the trampoline sags 25 cm before propelling her back up.
The time she spent in contact with the trampoline is 0.1619 seconds.
The objective of this question is to determine for how long she is in contact with the trampoline?
The conservational force is exerted on the trampoline is equivalent to the sum of the potential energy at the highest point and the elastic energy at the lowest point.
∴
From the given information;
[tex]\mathbf{mg \dfrac{(95 +25)}{100} = \dfrac{1}{2}k ( \dfrac{25}{100})^2}[/tex]
[tex]\mathbf{m\times g\times 1.2 = k(0.03125)}[/tex]
[tex]\mathbf{m\times 9.8 \times 1.2 = k(0.03125)}[/tex]
[tex]\mathbf{\dfrac{m}{k} = \dfrac{(0.03125)}{9.8 \times 1.2}}[/tex]
[tex]\mathbf{\dfrac{m}{k} = 0.002657}[/tex]
Using the Simple Harmonic Motion to determine the time at which she is in contact with the trampoline, we have;
[tex]\mathbf{t= \dfrac{T}{2}}[/tex]
[tex]\mathbf{t= \dfrac{2 \pi}{2} \sqrt{\dfrac{m}{k}}}[/tex]
where;
[tex]\mathbf{\dfrac{m}{k} = 0.002657}[/tex][tex]\mathbf{t= \dfrac{2 \pi}{2} \times \sqrt{0.002657}}}[/tex]
[tex]\mathbf{t=0.1619\ sec}}[/tex]
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Which specific process in the light-dependent reactions produces oxygen and hydrogen ions?.
Answer: Oxygen and hydrogen ions are also formed from the splitting of water. Keep in mind that the purpose of the light-dependent reactions is to convert solar energy into chemical carriers (NADPH and ATP) that will be used in the Calvin cycle. In eukaryotes and some prokaryotes, two photosystems exist.
Why are rules significant in writing molecular structures.
Answer:
Chemical structure determines the molecular geometry of a compound by portraying the spatial arrangement of atoms and chemical bonds in the molecule. This provides chemists with an important visual representation of a chemical formula.
if I give you points and you give me no points how many points do you have?
Then the person you gave points to would have however many you gave them. You would subtract from what you have and add that amount to the other person's, you'd need to add context for this question to actually get help
Explanation: You would have no points and I would have however many points you gave me.
Which of these individual actions would have the greatest impact on public policy?.
It should be noted that political parties and interest groups have a great influence on public policy.
A political party is composed of people who have similar political beliefs and aims. The candidates from this organized group aspire to be elected and thereby influence public policy.
An interest group has no intention of getting its members to hold government positions. It simply influences public policy by mainly lobbying.
Interest groups have a greater impact on determining and shaping public policy as they represent businesses and corporations. They also influence people through media campaigns.
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Where can you find your state specific lottery information.
Answer:
lottery district offices
Explanation:
Lottery district offices can be found your state specific lottery information.
What is a definition of lottery?A lottery is a low-odds process or game of chance in which winners are chosen at random. Lotteries can be utilized in decision-making circumstances, such as the distribution of scarce medical care and the selection of sports teams.
With a set of numbers, the lottery game is played in finance. Either manually or automatically, the numbers are selected at random. The picked numbers are intended to win prizes. The prize money may be awarded to the winner as a flat sum or in installments. In general, prize winners prefer receiving a lump sum of money.
The Dutch noun "lot," which means "fate," is where the English word "lottery" originates. The Golden Ambrosian Republic launched the first known Italian lottery on January 9, 1449, in Milan to raise money.
Thus, Lottery district offices.
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One of your authors once attended a training session where the instructor shared that they did not believe in the dsm or in using diagnoses. This person believed that diagnoses were much like rumors, that they had the potential to lead toward specific beliefs and assumptions about a person. And like rumors, they may also lead to negative biases. Rumors aside, what are some ways that psychological diagnoses may inadvertently lead to prejudice? in extreme cases, how might they lead to discrimination? are there any specific diagnoses that may be more prone to negative biases, particularly by those not familiar with psychology?.
Based on the information given, the biggest disadvantage of assigning a diagnosis is that it can be stigmatizing and bring about a negative bias for the client.
For the patient, it should be noted that facing prejudicial attitudes or biases can lead to shame and lowered self-esteem.
A typical stereotype that is associated with those with mental illness is that they're irresponsible and unreliable. Among all the mental illnesses, schizophrenia is most negatively perceived in my view. Such people having it may be more prone to negative biases.
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Which 4 statements regarding the chart of accounts are true?.
The statements that are true regarding the charts of accounts are:
They organize finances.Offer finances to investors/shareholders.They give clearer insight to financial health.Help financial statement by separating expenditures, revenues, assets and liabilities.Charts of accountCharts of account is an index of all financial records in the general ledger of a company. It is a tool that provides a dissolvable breakdown of all financial transactions of a company during a specific period.
AccountAn account is a report or description. It can be defined as keeping records of an financial transactions related to an individual or entity.
Please note that this question is incomplete, so the answer was given to help.
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a mid-ocean ridge is located at the boundary of two tectonic plates which diagram correctly models the relative plate motion on each side of a mid-ocean ridge
Thank you for sharing this question, if you could please add a file or pictures of the answers I'll be happy to help.
Would sound waves travel slower through air at the north pole or at the equator?.
yes they would travel slower at the north pole than the equator because the air is more dense and is harder to pass through
Yes, sound waves would travel slower at the North Pole than at the equator because the air is denser and is harder to pass through.
What are equators?The Equator is the midline of the earth. A vibration results in a sound. We refer to these motions as "sound waves." Sound waves require a specific medium to travel through. The three different types of media are solid, liquid, and gas.
Keep in mind that since a "solid medium" is denser than the other two, sound waves move through it more quickly. Because water is more densely packed with particles than gas is, sound waves travel faster in liquid than in gas (such as air).
Therefore, yes, because the air is heavier and more difficult to get through at the North Pole than it is at the Equator, sound waves would move more slowly there.
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Bun and cheese are very yummy. is this gramaticaly correct?
Answer:
NO
example: I enjoy a variety of cheese and buns as they are tasty
Explanation:
Answer:
No, its wrong try to look it up or something !
What is one drawback shared by both monopolies and oligopolies.
Answer:
They can harm consumers by fixing price
The distance between two cities on a map is 3. 5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?.
Answer:
70km
Explanation:
[tex] \frac{20}{1} \times 3.5[/tex]
= 70
Which of the following types of receptors are located in the mouth?.
Answer:
A taste receptor is a type of cellular receptor which facilitates the sensation of taste. When food or other substances enter the mouth, molecules interact with saliva and are bound to taste receptors in the oral cavity and other locations.
Promotion of learning and respect for teachers are among the traditional values of the vietnamese.
The Vietnamese believe that One of the traditional values of the Vietnamese people is the promotion of learning and the respect for teachers.
As Vietnam’s educational culture was sparked by Chinese influence, the roots of education come from the country’s belief in Confucianism.
The Vietnamese believe that One of the traditional values of the Vietnamese people is the promotion of learning and the respect for teachers. In the Feudal and Colonial periods, teacher’s were seen to have more importance than parents; their position was “only lower than the king”.
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Which of these best describes the point of washington in this excerpt.
Answer:
awnser choice B
Explanation:
B
A student wants to prove that the base angles of an isosceles triangle are congruent.
There are different kinds of triangles. The options that could be used as part of the proof that B = C are;
≅ because of the Symmetric Property≅ because of the definition of a midpoint
≅ because of the definition of an isosceles triangle
∠ ≅ ∠ because corresponding parts of congruent triangles are congruent.
Isosceles triangles is known to have at least two congruent sides and also at least two congruent angles.
The congruent sides is referred to as legs that create the vertex angle. The other two congruent angles are known to be the base angles.
See full question below (using the image attached)
A student wants to prove that the base angles of an isosceles triangle are congruent. The student draws isosceles triangle ABC with base angles B and C.
Point M is drawn as the midpoint of BC.
Which of the following could be used as part of the proof that B = C? Select all that apply
guys does 9+10= 21
explain please
Answer:
Yes.
Explanation:
Its 21 because a genius said it was.
Isaiah, a vibrant young boy, is the leader of a school debate team that is competing with a team from another school. He believes that his team is moral and strong, while the other team members are weak and evil. In the context of misperception, isaiah most likely exemplifies ________ in this scenario.
Considering the situation described above, in misperception, Isaiah most likely exemplifies mirror-image perception in this scenario.
What is mirror-image perception?Mirror-image perception is a term that is used in a socio-psychological context to describe how individuals perceive themselves as the opposite of their competitors.
Usually, in Mirror-image perception, individuals tend to see themselves as an excellent and peace-loving personality, while the other is viewed as the evil and devil advocate.
How Mirror Image Perception is applicable hereTherefore, since Isiah believes that his team is moral and strong, while the other team members are weak and evil, this is an example of Mirror image perception.
Hence, in this case, it is concluded that. the correct answer is Mirror image perception.
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Because the transition into american culture was difficult many immigrant families.
People move for different reasons. Because the transition into American culture was difficult, many immigrant families moved into neighborhoods with people from the same country.
The old immigrants were known to have arrived in America in the 1800's were from Northern Europe. A lot of many immigrants traveled to America in haste as most of them did not a lot of money.
Immigrants in one way or the other did change American culture. Immigrants were known to expand Culture by bringing in New Ideas and Customs.
Due to the fact that the transition into American culture was hard, a lot of people find other alternatives.
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Can sunlight change the distribution of traits in a population?.
Aditi ❤
Sunlight changes the distribution of traits in a population because the environment can factor into the distribution of traits.
What is the significance of Sunlight?Sunlight emits light and heat, or solar energy, which allows life to exist on Earth. Sunlight is required for plant growth. Plants are required by animals, including humans, for food and the oxygen they produce.
Earth would freeze if the sun did not provide heat. The sun is necessary for human health and well-being. The health benefits of sunlight include vitamin D production, bone health support, blood pressure reduction, disease prevention, and mental health promotion.
Therefore, because the environment influences the distribution of traits, sunlight alters the distribution of traits in a population.
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In a classic series of studies, solomon asch showed that an individual can conform to a group's judgment of the lengths of lines.
Based on research studies, in a classic series of studies, Solomon Asch showed that an individual can conform to a group's judgment of the lengths of lines "even when the group judgment was incorrect."
What is Solomon Asch Conformity Experiment?Solomon Asch Experiment was conducted in 1955 to study the effect of majority or groups on individual beliefs and opinions.
The study's outcomes showed that people would conform with a group, even if they believe or understand it is wrong.
Hence, in this case, it is concluded that the correct answer is "even when the group judgment was incorrect."
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What factors would have the least effect on a region’s climate?.
Answer:
Longitude and Population Density
Explanation:
Longitude
Longitude won't have much effect because it is just across the earth in E to W. (east to west). While, Latitude will affect the Earth because there is something called a Equator, which is USUALLY hot, and the Polar zones, which are mostly Cold.
Population Density
Population Density won't affect much because the amount of carbon dioxide a person produces is pretty less. But yeah, the factories make a lot of more Carbon Dioxide so that is why they will be producing more than the people. But people can't produce so much to warm up their environment.
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What is the greatest possible speed at which a girl.
Answer:
about 6.5mph
Explanation:
average human can run aout 6.5 to 8 mph
Which best describes the first law of thermodynamics as compared to the second law of thermodynamics?.
Answer:
The first law describes how thermal energy is conserved but not the direction it moves.
Thermodynamics is demonstrated as the branch of physics that deals with the associations or relationships between heat and other energy forms like mechanical, chemical, and electrical).
As per the question, the first law discusses that heat is a kind or form of energy and thus, processes associated with thermodynamics are subject to energy conservation principle. Therefore, heat energy can neither be destroyed nor created but rather transferred to one place to another and converted to and from other energy forms.
Thus, the first law of thermodynamics is distinct from the second law as 'the former describes how thermal energy can be conserved to and from other forms of energy and not the direction in which it moves' while the second law focuses on entropy.
Explanation: