Answer:13,422.62
Explanation:
Evaluate the line integral, where c is the given curve. C xy4 ds, c is the right half of the circle x2 + y2 = 4 oriented counterclockwise.
Parameterize C by
x(t) = 2 cos(t) ⇒ dx/dt = -2 sin(t)
y(t) = 2 sin(t) ⇒ dy/dx = 2 cos(t)
with -π/2 ≤ t ≤ π/2. Then the line element is
ds = √((dx/dt)² + (dy/dt)²) dt = 2 dt
and the line integral is
[tex]\displaystyle \int_C xy^4 \, ds = \int_{-\frac\pi2}^{\frac\pi2} 2\cos(t) \cdot (2\sin(t))^4 \cdot (2 \, dt) = 64 \int_{-\frac\pi2}^{\frac\pi2} \cos(t) \sin^4(t) \, dt[/tex]
Substitute u = sin(t) and du = cos(t) dt. Then
[tex]\displaystyle \int_C xy^4 \, ds = 64 \int_{-1}^1 u^4 \, du = \frac{64}5 (1^5 - (-1)^5) = \boxed{\frac{128}5}[/tex]
Which of the expressions below is equivalent to 4x^2/12x^2-4.
Answer:
(846_++=-06456 AND _089_)(
Explanation:
During his party in chapter 3 which is an example of the gossip about gatsby.
Answer: During his party in chapter 3, one of the gossip about Gatsby is that he killed a man once
Explanation:
Answer:
that he attended oxford
Explanation:
What is the acceleration of a 32 kg object if a 6. 75 n force is applied to it? 0. 21 m/s2 4. 74 m/s2 21. 09 m/s2 216. 00 m/s2.
The acceleration of the object is 4.74 m/s²
From the question given above, the following data were obtained:
Mass (m) = 32 Kg
Force (F) = 6.75 N
Acceleration (a) =?The acceleration of the object can be obtained as follow:
[tex]a = \frac{f}{m} \\ \\ a \: = \frac{32}{6.75} \\ \\ [/tex]
a = 4.74 m/s²Therefore, the acceleration of the object is 4.74 m/s²
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The discussion of the ""greatest of poets and philosophers"" in the third paragraph suggests that the author believes the audience of the speech will.
There a lot of great poets and philosophers in the world today. The author believes the audience of the speech will recognize an implicit reference to Shakespeare and agree about his importance.
There have been a lot of English literature. One of the greatest poet of all time is William Shakespeare.
He was known for his famous quote where He said that All the world, is a stage, and all the men and women merely players.
The author recognize the importance of Shakespeare and his impressive work of literature.
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Which statement is accurate about Native Americans and the American Revolutionary War?.
Answer:
regardless of which side they chose, native americans would lose land due to the outcome of the war
Explanation:
k12 yes? good luck, hope this helps
Which provides evidence of universe expansion that supports the big bang theory.
Answer:
Hubble's discovery in the 1920s of a relationship between a galaxy's distance from Earth and its speed
The link between a galaxy's speed and distance from Earth was discovered by Hubble in the 1920s.
What is Big Bang theory?Big Bang theory is defined as the physical theory that explains how the universe expanded from an initial state of high density and temperature. The early evolution of the universe is explained by the Big Bang theory. In accordance with this idea, the Universe began in a very small, very hot, and very dense state. It has since grown, gotten less dense, and gotten cooler.
The Big Bang theory is backed up by two significant scientific discoveries: the link between a galaxy's speed and distance from Earth, discovered by Hubble in the 1920s. In the 1960s, the cosmic microwave background radiation was discovered.
Thus, the link between a galaxy's speed and distance from Earth was discovered by Hubble in the 1920s.
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An angle measures 4. 3 radians. To the nearest degree, what is the measure of the angle? degrees.
Mason bought 6 loaves of bread and 3 packages of cheese for a total of $27. The cost of a package of cheese is $1. 50 more than the cost of a one loaf of bread. What is the combined cost of one loaf of bread and one package of cheese?.
Answer:
Bitlog
Explanation:
iklog
Let y=f(x) be a twice-differentiable function such that f(1)=3 and dydx=4y2+7x2−−−−−−−√. What is the value of d2ydx2 at x=1 ?.
Answer:
55
Explanation:
Find the derivative of [tex]\frac{dy}{dx}[/tex] to get [tex]\frac{d^2y}{dx^2}[/tex] .
4[tex]\sqrt{y^2+7x^2}[/tex] = 4([tex]y^{2}[/tex]+7[tex]x^{2}[/tex])^1/2
[tex]\frac{d^2y}{dx^2}[/tex] = 4(1/2)([tex]y^{2}[/tex]+7[tex]x^{2}[/tex])^-1/2 * (2y[tex]\frac{dy}{dx}[/tex] +14x)
Plug in x=1 and y=3.
2(9+7)^-1/2 * (6[tex]\frac{dy}{dx}[/tex] +14)
2(1/4) * (6[tex]\frac{dy}{dx}[/tex] +14)
(1/2) (6[tex]\frac{dy}{dx}[/tex] +14)
3[tex]\frac{dy}{dx}[/tex] +7
Plug in [tex]\frac{dy}{dx}[/tex].
3(4[tex]\sqrt{y^2+7x^2}[/tex] ) +7
Plug in x=1 and y=3.
3(4[tex]\sqrt{9+7}[/tex] ) +7
3(4[tex]\sqrt{16}[/tex] ) +7
3(4*4)+7
3(16)+7
48+7
55
Which comparison between events in the passage would best support a claim that a significant theme of the passage is fulfillment?.
The comparison that illustrates the theme is Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.
The theme of a story simply means the central idea that's conveyed in a story. It illustrates what the author wants the readers to know in the story.
The comparison between events in the passage support a claim that a significant theme of the passage is fulfillment. This was illustrated as Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.
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What approximate focal length of the objective lens will give a total magnification of 200×? assume a length l = 160 mm.
Considering the data in the question, the focal length of the objective lens that will give a total magnification of 200x is 0.8cm focal length.
The whole question is:
You are using a microscope with a 10x eyepiece. What focal length of the objective lens will give a total magnification of 200x? Assume a length L = 160mm.
How was the answer derived?Given that total magnification is 200
And the Assume length is 160
Since we used a microscope with a 10x eyepiece, the magnification would be divided by 10.
=> 200 ÷ 10 = 20.
Also, the focal length is measured in centimeters or meters; we would change the millimeters of focal length to centimeters. Therefore, we have 160 ÷ 10 = 16
The formula for the focal length of the objective lens = assumed length ÷ total magnification.
=> 16 ÷ 20 = 0.8cm.
Hence, in this case, it is concluded that the correct answer is "0.8cm."
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Which of the following best describes why ddt is classified as a persistent organic pollutant.
The reasons why DDT is classified as a persistent organic pollutant are;
DDT can be used to control diseases, such as malaria and typhus, that are spread by insects.DDT is detected in food worldwide and the general human population is most commonly exposed to the toxin through food.Persistent Organic Pollutants can be regarded as toxic substances which are made up of organic chemical compounds.
These are industrial chemicals such as;
PCBs pesticides like DDT.DDT is classified as a persistent organic pollutant because of it's usefulness in control diseases and it is been found in food stuff across the globe.
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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:
Which law would you use to simplify the expression mc006-1. Jpg? quotient of powers power of a quotient product of powers power of a product.
Answer:
Law of transparency
Explanation:
The law that will be used in simplifying the option is a3¹⁰/3⁴ is the quotient of powers. The correct option is a.
What is the quotient of powers?According to the Quotient of Powers Property, exponents are subtracted from powers when they are divided by the same base, provided the base is not equal to 0. Using variables, nanb=n(ab) n a n b = n (a b) is defined.
It is quicker and simpler to subtract the bases than to write down the multiplications and cancel. The denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator, is how the Quotient Rule defines the derivative of a quotient.
[tex]\dfrac{x^a}{x^b} = x^{( a - b)}[/tex]
[tex]\dfrac{3^{10}}{3^4} = 3 ^ {( 10 - 4)}\\\\\dfrac{3^{10}}{3^4} = 3^6[/tex]
Therefore, the correct option is a, the quotient of powers.
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The question is incomplete. Your most probably complete question is given below:
The equation is:
3^10/3^4
Marianna is working on improving her communication skills. To be a good listener, she should.
Answer:
I don't know the answer choices, however if one wants to be a good listener they should 1. Have a clear head space, 2. Always be focused on the one speaking, 3. ask questions.
Explanation:
Evaluate the surface integral. S y2 ds s is the part of the sphere x2 + y2 + z2 = 36 that lies inside the cylinder x2 + y2 = 9 and above the xy-plane.
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]
A cell accumulated damage to the majority of its nucleic acids. Is in unlikely to.
Answer:
Normally if a cell has accumulated DNA damage, it is unlikely to pass the G2 check point.
Explanation:
The cell cycle is regulated at three checkpoints to ensure that the cells are ready to proceed through the process of division. At each of these checkpoints, the cell waits to receive signals on whether or not it has carried out the function that should have been completed at the previous stage. The three key check points of the cell cycle are: the cell restriction or growth check point, the DNA synthesis checkpoint and the mitosis or the metaphase checkpoint.
What is the vertex form of the equation? y = – x 2 + 12 x – 4.
Answer:
(6,32)
Explanation:
After earning $50 million in net income, monroe millwork distributed $15 million in dividends to its stockholders. Monroe’s board of directors decided to invest the remaining $35 million back into the business. This $35 million reinvestment of profits represents.
Based on the information given, it can be deduced that the reinvestment of profit which is $35 million is known as the retained earnings.
Retained earnings simply refer to part of the cumulative profit that is earned by a company which is saved for future use.
Retained earnings are typically earned from the net income at the end of a particular period. In this case, the company had a net income of $50 million and distributed $15 million as a dividend.
Therefore, the remaining $35 million is the retained earnings.
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Quis:
*Indonesian assignment*
Find the meanings of the following words using the Indonesian Dictionary
1. Effectiveness
2. Instrument
3. Generator
4. Distribution
5. Consumption
Work in a notebook or lat
pls help me bro :-)
those who are lazy must report :) Ok ^_^
What is the most likely reason that the author begins and ends the text with the larger conversation about carbohydrates in the human diet but develops the argument about whole grains in the middle?.
Whole grains mainly consist of complex carbohydrates. These types of carbohydrates represent an excellent point of reference to explain the role of carbohydrates in the diet.
Carbohydrates, proteins, and lipids are fundamental macronutrients that must be obtained from the diet.
Carbohydrates can be divided into complex carbohydrates (e.g., starch), which provide long-term energy, and simple carbohydrates (e.g., glucose), which represent a fast source of energy.
Complex carbohydrates are composed of many monosaccharide units (i.e., simple carbohydrates) linked by glycosidic bonds.
Whole grains mainly consist of complex carbohydrates and represent an excellent point of reference to explain how the body breaks down these long molecules to produce simple carbohydrates in order to obtain energy.
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A wheel rotates with a constant angular acceleration of 3. 50 rad/s2.
Answer:
is this a true or false question?
Explanation:
Choose the solution(s) of the following system of equations: x2 + y2 = 6 x2 – y = 6 no solution mr001-1. Jpg mr001-2. Jpg mr001-3. Jpg infinitely many solutions mr001-4. Jpg mr001-5. Jpg mr001-6. Jpg.
The solution to the system of equations are -1 and ±√5
Given the systems of equations;
[tex]x^2 + y^2 = 6\\ x^2 - y = 6[/tex]
From equation 2;
[tex]x^2 = 6 + y[/tex]..................................... 3
Substitute equation 3 into 1 to have:
[tex]6+y+y^2=6y^2+y=6-6\\y^2+y=0\\y^2=-y\\y = -1[/tex]
Substitute y = -1 into equation 3
[tex]x^2 = 6 + y\\x^2 = 6 + (-1)\\x^2 = 6 -1\\x^2=5\\x=\pm \sqrt{5}[/tex]
Hence the solution to the system of equations are -1 and ±√5
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Answer:
its a,b,c, and f on edge which is -1/2,1/2,-i squareroot2, i square root 2
Explanation:
The square root of a number is between 8 and 9 which of these could be that number.
9
9 is a square root because when u multiply 3×3=9
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!
A taxi service charges a flat fee of $1. 25 and $0. 75 per mile. If Henri has $14. 00, which of the following shows the number of miles he can afford to ride in the taxi? m less-than-or-equal-to 17 m greater-than-or-equal-to 17 m less-than-or-equal-to 20. 3 m greater-than-or-equal-to 20. 3.
Answer:
Its less than or equal to 17
Explanation:
are there other universes?
Answer:
no
Explanation:
Which of the following statements about hybridization are true?.
How did she get from the stage to the balcony crossword.
Answer:
she used stairs
Explanation:
It should be noted that the word that fits the scenario is stairs.
A crossword clue simply means a hint that is given to a player of a crossword puzzle where the person has to find the missing pieces of the game.
The question is simply about how she got from the stage to the balcony crossword. Therefore, the correct option will be stairs which is six letters.
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