The boundary of S is the unit circle C in the (x, y) plane with equation x² + y² = 1, which we can parameterize by
r(t) = x(t) i + y(t) j + z(t) k
with 0 ≤ t ≤ 2π, where
x(t) = cos(t)
y(t) = sin(t)
z(t) = 0
so that
dr = (dx/dt i + dy/dt j + dz/dt k) dt = (sin(t) i - cos(t) j) dt
By Stokes' theorem, the surface integral of the curl of F across S is equal to the line integral of F along C :
[tex]\displaystyle \iint_S \mathrm{curl} F \cdot d\vec s = \int_C \vec F \cdot d\vec r[/tex]
We have
[tex]\vec F(x(t), y(t), z(t)) = \sin^2(t) \, \vec\jmath + \sin(t) \cos(t) \, \vec k[/tex]
[tex]\implies \vec F \cdot d\vec r = -\sin^2(t)\cos(t) \, dt[/tex]
so the line integral is
[tex]\displaystyle \int_C \vec F \cdot d\vec r = - \int_0^{2\pi} \sin^2(t) \cos(t) \, dt[/tex]
Substitute u = sin(t) and du = cos(t) dt :
[tex]\displaystyle \int_C \vec F \cdot d\vec r = - \int_0^0 u^2 \, du = \boxed{0}[/tex]
A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) which statement about (2x – 3)(5x + 9) is true?.
Answer:
b.
Explanation:
Answer:
B
Explanation:
i took the test
A sound with more vibrations per second sounds higher than a sound with fewer vibrations per second. Lesson 4. 05 Question 8 options: True False.
Answer:
true
Explanation:
because
What is the measure of arc BEC in circle D? 134° 150 209° 210°.
Answer:
134°
Explanation:
The measure of arc BEC in circle D is 134°. The correct option is 1.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called "centre".
The line of reflection symmetry is formed by every line that passes through the circle.
We've been given a circle image and asked to calculate the measure of arc BEC.
That angle is visible to us. ABC is an inscribed angle, and its measure is one-half the length of its subtended arc.
Here,
AC = 2 x m∠ABC
AC = 2 x 75°
AC = 150°
We can set an equation to find the measure of arc BEC because we know that the circumference of a 360 degree is:
Arc BEC + Arc AB + Arc AC = 360°
Arc BEC + 76° + 150° = 360°
Arc BEC + 226° = 360°
Arc BEC = 134°
Thus, the answer is 1.
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Your question seems incomplete, the probable complete question is:
What is the measure of arc BEC in circle D?
134° 150 209° 210°.Write the expression 44(4–7)(4) using a single exponent. 4–28 4–4 4–3 4–2.
Answer:
4^–2
Explanation:
Answer:
4^-2
Explanation:
edge 2022
Read the excerpt from It's Our World, Too!: Young People Who Are Making a Difference. The players sat down together on the benches in the locker room. Jesse and Neto repeated the words they had heard and said it hurt too badly for them to play in the next game. "Yeah, I've heard those things, too," said one player. "Sure it's terrible, but you can't quit! If you guys leave, it will destroy our team. " "Look," Neto said, "if we don't take a stand now, those fans will say those things forever. Even after we graduate, they'll keep putting Hispanic players down. We have a chance to stop it now. " Finally there was no more to say. The question came: "Who votes not to play the next game?" Every player raised his hand. In the story, racism is at the heart of the problem. Which idea complicates the conflict? Neto wants to play, but not for disrespectful fans. Neto has a difficult time convincing the team of Jesse's claims. Neto believes the problem will never have a solution. Neto does not want to lose his friendship with Jesse.
Answer:B- neto has a difficult time convincing the team of jesse’s claims.
Explanation:i got it right in edge 2021
Answer:
more points thanks it c
Explanation:
How will you make a cheer dance routine in a solo performance essay.
The main parts of cheerleading include jumps ,stunting ,and tumbling. A routine dance for cheerleading practice
1) Opening
2) Standing tumbling
3) Partner stunts
4) Running tumbling
5) Jumps
6) Basket tosses
7) Pyramid
Dance
why is it important to reduce reuse and recycle plastic materials to save the environment?
Answer:
Plastic materials do not decompose easily and most end up in the ocean where they can potentially harm animals. Some plastics also release carcinogens when burnt. By reducing its usage, we look for a more sustainable alternative to plastic materials. Reuse old plastic containers, bags, etc. if they can are still in good condition. Recycling will repurpose plastics that are no longer in proper condition to be used how it was originally intended to be.
What is the purpose of the international monetary fund and the world bank brainly.
Answer: The purpose is to raise living standards in their member countries.
Which graph represents the solution set y > – x + 2?.
Look at the graph
___________
Aria paid $75,000 for her house. Its property value increased by 2. 2% per year. When aria sold her house after eleven years, how much was it worth, to the nearest hundred dollars? a. $133,700 b. $95,400 c. $95,300 d. $93,100.
Answer:
$95,300. C
Explanation:
Answer:
answer is C
Explanation:
Why do Jefferson and Stanton include these similar excerpts in their documents? because they are heartfelt praises intended to applaud activists because they mention the Founding Fathers in an attempt to inspire because they are powerful calls to change that define their causes because they are battle cries that demand physical confrontation.
Both Jefferson and Stanton decided to include the excerpt in question because they are powerful calls to change that define their causes.
The excerpt in question relates to the right of the people to remove a government that is no longer beneficial to the people.
This call:
Was in relation to the British government becoming tyrannical Was a strong and powerful call to rally people behind the cause of seeking independenceJefferson and Stanton both understood the benefit of using this call to action and so we can conclude that they both used it because it was powerful and defined their cause effectively.
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Answer:
C is correct
Explanation:
Wwwusuaayayshsshahhsiw jejeuuerye
Answer:
thank you
Explanation:
........
Which of the following factors affected the US economy during the 1970s? stagflation low inflation low unemployment high GDP.
The factor which affected the US economy during the 1970s is: A. stagflation
In the 1970s, an energy crisis was a major event that took place in the United States of America due to the oil embargo imposed on it by OPEC.
An oil embargo was imposed on the United States of America by the Organization of Petroleum Exporting Countries (OPEC) in 1973, based on its role in the Arab-Israeli War.
Consequently, the economy of the United States of America experienced stagflation such as:
Slow economic growth.Relatively high unemployment.Find more information: https://brainly.com/question/23711616
Hard water, which contains mg2+ and ca2+ ions, tends to form a ring in a bathtub due to its reaction with the soluble anions in soap. The formation of this insoluble material is an example of.
Answer:
I dont understantd is it mg4
Explanation:
Light passes through a 0. 15 mm-wide slit and forms a diffraction pattern on a screen 1. 25 m behind the slit. The width of the central maximum is 0. 75 cm. What is the wavelength of the light?.
Answer:
450 nm
Explanation:
Answer:
rastaman yow rastaman rastaman rastaman
Who is the only woman to have received the congressional Medal of Honor? Hillary Clinton Betty Friedan Michelle Howard Mary Edwards Walker.
Answer:
mary edwards walker
Explanation:
correct on edge, trust
Answer:
The answer is D.
Explanation:
Got it right in the test.
The need for change to automated sales at bergman’s most likely arises from a(n) ______ force.
A car is traveling with a constant speed when the driver suddenly applies the brakes, causing the car to slow down with a constant acceleration of magnitude 3. 50 m/s2. If the car comes to a stop in a distance of 30. 0 m, what was the car's original speed?.
Answer: 14.49 m/s
Explanation: you would have to use kinematic equations to solve for the original speed.
v^2 = v0^2 + 2 (a) (x) where v = 0 since the car stopped
then you would get v0 = sqrt (2(a)(x))
plug in the known values
v0 = sqrt(2(3.50)(30.0))
v0 = 14.49 m/s
So the answer would be 14.49 m/s
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 What essential skills must a graphic designer possess in order to be a proficient, well-rounded designer? (site 1).
Some of the essential skills which a graphic designer must possess in order to be a proficient, well-rounded designer includes:
CreativityCommunication skillsProper use of colorA graphic designer is a person who produces high quality images or drawings through a variety of skills and attributes which he must combine to make beautiful images and graphics.
With this in mind, we can see that a graphic designer must be able to properly communicate with his clients so he can get a good idea of what he would design for them and he should also be able to be creative and bring out new, exciting ways to make designs.
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Answer:
Some of the essential skills that a graphic designer must have in order to be a competent, well-rounded designer are as follows:
Creativity and communication abilities
Color usage that is appropriate
A graphic designer is someone who creates high-quality images or drawings using a variety of skills and attributes that he must combine to create visually appealing images and graphics.
With this in mind, we can see that a graphic designer must be able to properly communicate with his clients in order to get a good idea of what he would design for them, as well as be creative and come up with new, exciting ways to make designs.
Explanation:
Can someone solve this please fasttt
When you make a dns query, where does your computer first check to find an ip address to name mapping?.
Answer:
in its local DNS cache
Explanation:
This cache stores this information that our computer has recently saved.
Which equation is equivalent to StartRoot x EndRoot 11 = 15? x 11 = 225 x 121 = 225 StartRoot x EndRoot = 15 11 StartRoot x EndRoot = 15 minus 11.
Answer:
Answer is shown in the image! (D)
Explanation:
Which of the following sentences contains the correct usage for virtuosity? a. The virtuosity of the animals was expressed in their gait. B. The musicians showed extreme virtuosity in their range. C. The virtuosity of the figures in the painting gave it a heavenly appearance. Please select the best answer from the choices provided A B C.
Answer:
The answer would be B.
Explanation:
Answer:
B. The musicians showed extreme virtuosity in their range.
Explanation:
E2020!
The table shows the heights of 40 students in a class.
Which of the following statements is true about the 1920s?.
Answer: a
Explanation:
Answer:
B
Explanation:
What is the 'stute fish’s motivation? to keep the whale full and happy to teach the whale a life lesson to escape being eaten by the whale to ask the whale for protection.
Answer:
C - to escape being eaten by the whale
I'm taking the test :)
Based on the excerpt from “How the Whale Got His Throat,” the 'Stute Fish’s motivation is: C. to escape being eaten by the Whale.
How the Whale Got His Throat?This is a short fictional story that is written by a Whale and a small fish referred to as 'Stute Fish. The Whale had eaten all the other fishes in the sea except for the 'Stute Fish, which swam a little behind the Whale's right ear, so as to avoid being harmed.
Based on the excerpt from “How the Whale Got His Throat,” we can infer and logically conclude that the 'Stute Fish’s motivation is to escape being eaten by the Whale, when it asked "Noble and generous Cetacean, have you ever tasted Man?"
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Parallel lines cut by a transversal coloring activity.
Answer:
this is the answer
Explanation:
hope it will help you
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses. Card A Card B Amount $1,879. 58 $861. 00 APR 14% 10% Monthly Payment $43. 73 $18. 29 After 5 years, how much will Marcia have saved in interest by consolidating the two balances? a. $1,526. 40 b. $2,422. 80 c. $105. 00 d. $227. 40.
Answer:
Explanation:
The answer is D. $227.40. I took the exam and got it right.
Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 3. 5x Shop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? $.
Answer:
They both rented the bikes for 4 hours and paid $24.
Explanation:
In triangle def, cg = (x + 5) units and dg = (3x - 2) units. [figure may not be drawn to sacle] what is dg? 12 units 17 units 34 units 51 units.
The length of the segment DG is 34 units
How to determine the length DG?The attached figure represents the missing information in the question
The point G is the centroid of the triangle.
This means that:
CG : DG = 1 : 2
Express as fraction
CG/DG = 1/2
Multiply both sides by 2
DG = 2 * CG
Substitute the given parameters:
3x - 2 = 2 *(x + 5)
Expand
3x - 2 = 2x + 10
Evaluate the like terms
x = 12
Recall that:
DG = 3x - 2
So, we have:
DG = 3 * 12 - 2
Evaluate
DG = 34
Hence, the length DG is 34 units
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Answer: the length of DG is 34 units
Explanation: cause im smart :)