Answer:
100 points branly salamat
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]
Which of the following is a way to buy stocks.
Answer:
Through Hiring a Stockbroker
Answer:
Online through a brokerage Web site
Explanation:
How many differences can you spot candy house.
Answer:
There no image to reference lol. Can't help you
Explanation:
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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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 statement best describes an element of the federal deposit insurance corporation's (fdic) requirements for auditor independence?.
It has been known that some FDIC policy statements often answer to the freedom of auditor. The correct statement is that the FDIC has issued policy statements that address auditor independence in various contexts.
Auditor independence is simply known as the freedom of the internal auditor or of the external auditor from parties that do have a financial interest in the business that is been audited.
The Independence or freedom often needs integrity and an objective means to the audit process.
The SEC do have some rules that addresses the audit independence. They are classified into:
Prohibited Non-Audit Services Audit Committee Pre-Approval of Services Partner Rotation Conflict of Interest Increased Communication and Disclosure.The full question is below
Which statement best describes an element of the Federal Deposit Insurance Corporation's (FDIC) requirements for auditor independence?
o FDIC independence requirements incorporate requirements for attorneys and actuaries.
o FDIC independence requirements mirror the AICPA and DOL independence rules.
The FDIC has issued policy statements that address auditor independence in various contexts.
O The FDIC has adopted regulations that incorporate IESBA independence rules.
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do you think the earth is round or flat
Answer:
cube
Explanation:
What does it mean to be ‘other oriented’?
Answer:
Putting others needs before your own
Answer:
thinking, caring and acting in accordance with the interests of others is a common relational style
Explanation:
egd
Carefully read sources a through d (listed below), including the introductory information for each source. Compose a thesis statement you might use for an essay in which you develop your position on the role, if any, that zoos should serve in the future. Then, select at least three pieces of evidence from the sources to support your position, briefly explaining how each piece of evidence might be used to develop your argument. Avoid merely summarizing the sources.
The above question wants to assess your writing ability, therefore it is not correct for me to write the thesis statement for you, but I will show you how to write it.
First, you should know that a thesis statement is a short, direct, and objective paragraph that shows your opinion or position on a particular issue.
This opinion must be substantiated by evidence taken from research sources, for this reason, you should read the sources that have been presented to you or research articles, essays, and publications on the subject.
After that, you can answer your question as follows:
Present your thesis statement, that is, present your opinion on the future role of zoos.Show information from the research sources that support your thesis statement.Explain how this information supports your opinion and shows it to be true.An example of a thesis statement would be: According to the reading, the function of zoos will become increasingly obsolete due to the growth of environmental awareness and animal rights.
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Would you recommend dancing as an activity done at home.
A spherical balloon is inflating with helium at a rate of. How fast is the balloon's radius increasing at the instant the radius is ft? how fast is the surface area increasing?.
Using implicit differentiation, and considering that the inflation rate is of 200 cubic feet per minute and the radius is of 5 feet, it is found that:
The radius is increasing at a rate of 0.6366 feet per minute.The surface area is changing at a rate of 80 feet squared per minute.The volume of an sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
For this problem:
Inflation rate of 200 cubic feet per minute, hence [tex]\frac{dV}{dt} = 200[/tex]Radius is of 5 feet, hence [tex]r = 5[/tex]Then:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]200 = 4\pi (5)^2\frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt} = \frac{200}{100\pi}[/tex]
[tex]\frac{dr}{dt} = 0.6366[/tex]
The radius is increasing at a rate of 0.6366 feet per minute.
The surface area is:
[tex]S = 4\pi r^2[/tex]
Hence, the rate of change is:
[tex]\frac{dS}{dt} = 8\pi r\frac{dr}{dt}[/tex]
Hence:
[tex]\frac{dS}{dt} = 8\pi (5)(0.6366) = 80[/tex]
The surface area is changing at a rate of 80 feet squared per minute.
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Which of the following theorems cannot be used to prove two lines are parallel?.
How are we supposed to answer this question without the theorems mentioned in the question????
What was the role of muslim religious leaders in africa.
Answer: In most cases, the Muslim religious leaders serve also as community leaders and have broad political influence; their visit will contribute to strengthening the diplomatic ties between Israel and Africa.
(i searched it. pls mark me brainliest)
Did you go to the swim meet.
Answer:
what?
Explanation:
A cube with volume 8 $\text{cm}^3$ is cut in half by a plane which contains two edges of the cube. What is the area of the rectangle formed by the intersection of the plane and cube? express your answer in simplest radical form.
The area of the rectangle formed by the intersection of the plane and cube is [tex]4\sqrt{2}cm^2[/tex]
The diagram of the cube and the cutting plane is shown in the figure.
Since the cube has a volume of [tex]8cm^3[/tex], the sides are [tex]2cm[/tex] each.
From the diagram, the red rectangle is the rectangle formed from the intersection of the plane and the cube. It has an area given by
[tex]A_R=\text{side of cube}\times \text{diagonal}=2d[/tex]
and, using Pythagoras' theorem,
[tex]d=\sqrt{2^2+2^2}\\d=\sqrt{8}=2\sqrt{2}\text{ cm}[/tex]
Substituting the value of [tex]d[/tex] into the formula for [tex]A_R[/tex]
[tex]A_R=2\times d\\=2\times 2\sqrt{2}\\=4\sqrt{2}[/tex]
The area of the rectangle formed by the intersection of the plane and cube is [tex]4\sqrt{2}cm^2[/tex]
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Answer:
4 square root of 2cm
Explanation:
cool stuff
A consumer group is investigating the number of flights.
Jonathon works for a u. S. Company that doesn't produce goods domestically, but instead buys them from other countries and resells them in the united states. Jonathon's company illustrates the concept of.
Companies are known to have different areas at which they trade. Jonathon's company illustrates the concept of importing.
Importing by a firm simply means that a company/firm often buys goods outside the country and then resells them domestically.
Importing is don by bringing products or services into a country with the aim to sale that have been produce in another country.
Some U.S. companies are often engage in buying of products overseas and shipping them into the U.S. for sale, or as part of a product that is being assembled in the U.S.
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A cell with 10 chromosomes undergoes mitosis.
Answer:
Yes every cell undergoes mitosis
If 1=15 and 6=20 what is 3.
if 1 = 15 and 6=20 what is 3
=
25
Which substances are necessary for the synthesis and the breakdown of most materials in an organism?.
Enzymes
Explanation:
are the catalyst that require substrate for their function. Almost all the metabolic process in the body for synthesis of any substance requires enzymes.
I hope this is correct :)
List at least two facts you learned from your research that you could use when writing the opening statement. Remember to include information that is relevant to the main problem you are investigating.
Two facts that I learned during my research were narrowing down the research topic and setting appropriate goals.
When doing research, several aspects must be taken into account so that the research has good results and produces new knowledge. Here are two tips for proper research:
1. Limit the subject of the investigation: When conducting an investigation it is necessary to limit the subject so that it is easier to achieve an effective result. For example, time limits, a specific place, and more special aspects should be set to make the investigation more specialized.
2. Establish adequate objectives: When conducting an investigation it is necessary to establish objectives that can be achieved in the investigation. Highly ambitious goals can make research and information search difficult.
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Answer:
-The cost of college has risen faster than inflation for many years.
-The high price of student services and administration are two reasons for the rapid increase in cost.
Explanation:
good luck guys
Which of the expressions below is equivalent to 4x^2/12x^2-4.
Answer:
(846_++=-06456 AND _089_)(
Explanation:
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
Andrei adds 50 ml of boiling water to 100 ml of tap water. If the 150 ml of water is then put into a freezer, at what temperature will the water freeze?.
Answer:
0°C
Explanation:
water always freezes at 0 degrees
A force acts on a particle that undergoes a displacement.
Answer:
An F Vector Force
Example:
The work done by the force on the particle is 1 J.
The angle between the force and the displacement is 81.87⁰.
The given parameters;
F = (4i - 3j)
displacement of the particle, s = (i + j)
The work done by the force on the particle is calculated as follows;
The angle between the force and the displacement is calculated as follows;
The diagram shows 3 identical circles inside a rectangle.
Answer:
Explanation:
Diagram?
How can buddhism affect change on powerful countries that use war.
Buddhism is a religion that seeks to avoid conflict and harm, so other countries can learn from this.
Bills new porch is rectangular with an area of 50 square feet.
Considering the whole question, the perimeter of the porch is 30 feet.
This is because the whole question is, "Bill's new porch is rectangular, with an area of 50 square feet. if the length of the porch is two times the width, what is the perimeter of the porch?"
Therefore to find the perimeter of the porch, here is the step by step:
Given that the length of the porch is two times the width.
Hence, assume that the width = X
Also, assume that the length = 2X
The general formula here:
50 = X × 2X
X × 2X50 = 2x²
2x²X² = 50 ÷2
50 ÷2X² = 25
25X = √25
√25X = 5
Hence, width = 5 feet.
Given that length of the porch is two times the width = 5 × 2 => 10 feet
Therefore Perimeter of a rectangle = 2 (Length + Breadth)
Put all the values in the formula
Perimeter of the porch = 2 × (5 + 10)
= 2 × (15)
= 30 feet.
Hence, in this case, it is concluded that the correct answer is 30 feet.
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are there other universes?
Answer:
no
Explanation:
Evaluate the line integral, where c is the given curve. C (x/y) ds, c: x = t3, y = t4, 1 ≤ t ≤ 4.
We have
x = t³ ===> dx/dt = 3t²
y = t⁴ ===> dy/dt = 4t³
Then with the given parameteriztion, the line integral along C of x/y is
[tex]\displaystyle \int_C \frac xy \, ds = \int_1^4 \frac{t^3}{t^4} \sqrt{(3t^2)^2 + (4t^3)^2} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \int_1^4 \frac1t \sqrt{9t^4 + 16t^6} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \int_1^4 \frac{\sqrt{t^4}}t \sqrt{9 + 16t^2} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \int_1^4 \frac{t^2}t \sqrt{9 + 16t^2} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \int_1^4 t \sqrt{9 + 16t^2} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \frac1{32} \int_1^4 32t \sqrt{9 + 16t^2} \, dt[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \frac1{32} \int_1^4 \sqrt{9 + 16t^2} \, d\left(9+16t^2\right)[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \frac1{32} \cdot \frac23 \left(9+16t^2\right)^{\frac32}\bigg|_1^4[/tex]
[tex]\displaystyle \int_C \frac xy \, ds = \frac1{48} \left(265^{\frac32} - 25^{\frac32}\right) = \boxed{\frac{265\sqrt{265}-125}{48}}[/tex]
The line integral will be "[tex]\frac{265\sqrt{265} - 125 }{48}[/tex]". To understand the calculation, check below.
Line integralAccording to the question,
Curves, x = t³ or,
[tex]\frac{dx}{dt}[/tex] = 3t²
y = t⁴ or,
[tex]\frac{dx}{dt}[/tex] = 4t³
Now, the line integral along C will be:
→ [tex]\int\limits_C {\frac{x}{y} } \, ds[/tex] = [tex]\int\limits^4_1 {\frac{t^3}{t^4} }[/tex] √(3t²)² + (4t³)² dt
= [tex]\int\limits^4_1 {\frac{1}{t} }[/tex] √9t⁴ + 16t⁶ dt
= [tex]\int\limits^4_1 {\frac{t^4}{t} }[/tex] √9 + 16t² dt
= [tex]\int\limits^4_1 {\frac{t^2}{t} }[/tex] √9 + 16t² dt
= [tex]\int\limits^4_1[/tex] t√9 + 16t² dt
= [tex]\frac{1}{32}[/tex] [tex]\int\limits^4_1[/tex] √9 + 16t² d (9 + 16t²)
= [tex]\frac{1}{32}\times \frac{2}{3}[/tex] [tex](9+16t^2)^{\frac{3}{2} } |_1^4[/tex]
= [tex]\frac{1}{48}[/tex] ([tex]265^{\frac{3}{2}} - 25^{\frac{3}{2}[/tex])
= [tex]\frac{265 \sqrt{265 } -125 }{48}[/tex]
Thus the above approach is correct.
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