Answer:
The first people to express the idea that there is only one God were the Jews, and then later on Christians (because Jesus Christ brought Christianity.)
Explanation:
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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]
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]
I often relate to the following groups early childhood brainly.
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:
An angle measures 4. 3 radians. To the nearest degree, what is the measure of the angle? degrees.
A wheel rotates with a constant angular acceleration of 3. 50 rad/s2.
Answer:
is this a true or false question?
Explanation:
The frequency and energy ranges of photons in some parts of the electromagnetic spectrum are given in the table above. Which of the following could be the energy of a photon in the visible range?.
Answer:
The amount of energy is directly proportional to the photon's electromagnetic frequency and thus, equivalently, is inversely proportional to the wavelength. The higher the photon's frequency, the higher its energy. Equivalently, the longer the photon's wavelength, the lower its energy.
The energy of photon in visible range will be of [tex]4 \times 10^{-19} J[/tex].
What is the electromagnetic spectrum?Violet, indigo, blue, green, yellow, orange, and red are hues in the electromagnetic spectrum. Blue light has a very short wavelength and hence creates more energy.
Blue light in the visible zone has a very short wavelength. So that it produces a higher amount of energy that's why the blue part of visible light transfers the most energy.
The photons in the infrared range have the lowest energy and photons in the ultraviolet range have the highest energy.
A photon in the visible range should have an energy which is between the infrared range and the ultraviolet range.
Wherever the maximum energy of a photon in the infrared range is 3 x 10-19 J and the minimum energy of a photon in the ultraviolet range is 5 x 10-19 J,
Thus, photon in the visible range could have an energy of [tex]4 \times 10^{-19} J[/tex].
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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.
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
What is the main objective of the basagang palayok.
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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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!
are there other universes?
Answer:
no
Explanation:
What is a polynomial function in standard form with zeros 1 –1 2 and 4.
The polynomial function obtained from the Zeros given, written in standard form is x⁴ - 6x³ + 7x² + 6x - 8
Hope it helps!
Answer:
x⁴ - 6x³ + 7x² + 6x - 8
Explanation:
Write the linear factor for each zero.
[tex]g(x) = (x - 1) (x + 1) (x - 2) (x - 4)[/tex]
Multiply the first two, then the second two.
[tex]g(x) = (x^{2} + x - x -1) = (x^{2} - 1) then (x^{2} - 4x - 2x + 8)[/tex]
Use the Distributive Property.
[tex](x^{2} - 1) (x^{2} - 6x + 8) = (x^{4} - 6x^3 + 8x^{2} - x^{2} + 6x - 8)[/tex]
Simplify.
[tex]x^{4} - 6x^{3} + 7x^{2} + 6x - 8[/tex]
Which of the following best describes the uses of private land?.
Private property is a legal designation for the ownership of property by non-governmental legal entities.Private property is distinguishable from public property, which is owned by a state entity, and from collective or cooperative property, which is owned by a group of non-governmental entities. The distinction between private and personal property varies depending on political philosophy, with socialist perspectives making a hard distinction between the two,while others blend the two together.[better source needed] As a legal concept, private property is defined and enforced by a country's political system.
Which of the expressions below is equivalent to 4x^2/12x^2-4.
Answer:
(846_++=-06456 AND _089_)(
Explanation:
As a result of mitosis, each of the two new cells produced from the parent cell during cytokinesis.
Answer and Explanation: As a result of mitosis, each of the two new cells produced from the original cell during cytokinesis have the same chromosomal constitution as the parental nucleus. Cytokinesis is the actual division of the cytoplasm that results in two daughter cells that are diploid. Mitosis is a type of division that occurs during growth in somatic cells through replication of chromosomes and their subsequent redistribution.
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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What is the vertex form of the equation? y = – x 2 + 12 x – 4.
Answer:
(6,32)
Explanation:
who likes food should tell me
Explanation:
Whooo doesn't like food
Earth is slightly closer to the sun in december than it is in june. The force of gravity of the sun on earth in december compared to june is —.
The Earth is known as a spherical body. The force of gravity of the Sun on Earth in June compared to December is slightly smaller.
Earth is simply known to slightly closer to the Sun on one side of its orbit than on the other side.Kepler's second law states that as a planet moves round the Sun, it sweeps out equal areas in equal times.
All the planets do moves around the Sun in nearly the same plane. The Sun is found to be slightly off-center from the middle of each planet's orbit.
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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:
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 ^_^
Who intended to write an epic poem 12 books long? Question 3 options: Francis Drake Sir Walter Raleigh Edmund Spenser William Shakespeare.
Answer:
emund spencer
Explanation:
k12 test got it right have a great day xD
Excessive smoking, substance abuse, and sleep disorders are all examples of ________ symptoms of stress.
Excessive smoking, substance abuse, and sleep disorders are considered to be behavioral symptoms of stress.
It should be noted that behavior-related stress symptoms include absence and turnover, changes in productivity, changes in eating habits, increased consumption of alcohol, and smoking.
In a case where an individual who doesn't usually drink alcohol or smokes before starts drinking alcohol, it's known as behavioral symptoms of stress. In such a situation, stress leads to a change of behavior.
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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.
A watchmaker can build a watch for $90. She wants to make a $50 profit on top of his cost. What should she list the sale price of the watch at if she also wants to advertise a 30% discount on her watches?
Answer: 200
Explanation: 90 + 50 = 140
x - x * 30% = 140
x * 70% = 170
x * 0.7 = 140
x = 140/0.7
x = 200
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Based on the graph, what conclusion can be drawn about trade between the United States and China? The United States has a trade surplus with China. China’s economy is declining, which has harmed trade. The United States has a trade deficit with China. China’s economy is improving, which has helped trade.
The conclusion that can be drawn is that the United states has a trade deficit with China.
What is a trade deficit?This trade deficit is known to often takes place only when the value of a country's imports is said to be more than the value of their exports in terms of physical goods and services.
Note a trade deficit implies that a country such as United States is buying more goods and services than they are actually selling and as such, the conclusion that can be drawn from the graph is that the United states has a trade deficit with China.
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Answer:
The United states has a trade deficit with China.
Explanation:
Its correct
A new roller coaster contains a loop the loop.
Answer: Have you ever been to that type of roller coaster?
Explanation: If so cool.