If F(x, y, z) = i + sin(z) j + y cos(z) k is conservative, then there exists a scalar function f(x, y, z) such that grad(f) = F, which means
∂f/∂x = 1
∂f/∂y = sin(z)
∂f/∂z = y cos(z)
Integrating each each of these equations gives
∫ ∂f/∂x dx = ∫ dx ⇒ f(x, y, z) = x + α(y, z)
∫ ∂f/∂y dy = ∫ sin(z) dy ⇒ f(x, y, z) = y sin(z) + β(x, z)
∫ ∂f/∂z dx = ∫ y cos(z) dz ⇒ f(x, y, z) = y sin(z) + γ(x, y)
It follows that α(y, z) = y sin(z) and β(x, z) + γ(x, y) = x + C where C is a constant. So
f(x, y, z) = x + y sin(z) + C
and F is indeed conservative.
What is the first step in solving the equation 3. 5 n + 6. 4 = 42. 5? add 6. 4 to each side of the equation. Subtract 6. 4 from each side of the equation. Multiply each side of the equation by 3. 5. Divide each side of the equation by 6. 4.
Answer:
3.5n+6.4=42.5
-6.4=-6.4
3.5n=36.1
————— (divide)
3.5=3.5
n=36.1/3.5 or 10.314
Explanation:
I'm confused by the question... is the question what is the first step of solving this equation?? and if it is, your answer is correct. which is subtract 6.4 for both sides.
When using a spreadsheet to prepare the statement of cash flows, a decrease in accounts payable is entered in the analysis of changes columns with a debit in the statement of cash flows section and a credit in the balance sheet section.
Answer:
is this an answer itself or a question you need to have answered?
Explanation:
Evaluate the expression when e=13 and f=16. 4(19+e2)+3f enter your answer as a mixed number in simplest form in the box.
Answer:
17/18
Explanation:
Answer:
228
Explanation:
4(19+e2)+3f
4(19+13×2)+3×16
4×45+48
180+48
228
Read this sentence and select the dependent clause.
Answer:
Where is the sentence? As soon as you post the picture I will write the answer in the comments.
Which is a perfect square?6 superscript 16 squared6 cubed6 superscript 5.
Answer:
6^2
Explanation:
Guessing the question should be formatted like this:
Question (number) : Which is a perfect square?
a) 6 ^ 1
b) 6 ^ 2
c) 6 ^ 3
d) 6 ^ 5
A perfect square is something squared. (wow)
6^2 is the perfect square
A person is watching a boat from the top of a lighthouse.
Answer:
no way!!!!!!!!!!!!!!!!!
Explanation:
The event marking the beginning of the renaissance period was.
The renaissance is believed to have started in Florence, Italy in the 14th century.
The renaissance was a cultural movement that started in the 14th century and marked a bridge between the middle ages and modern times.
The period was marked by an increased reliance on observation and science.
It also marked a change in political, artistic, and language reforms that soon spread throughout Europe.
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One event that marked the beginning of the Renaissance period was the invention of moveable type.
The Renaissance:
Started in the 14th century in Italy. Led to classical art and literature being reborn and revived.One event that some associate with the beginning of the Renaissance period was when the moveable type printing press was invented as this allowed the ideas of the Renaissance to spread in better detail across Europe.
In conclusion, the invention of moveable type was very influential for the Renaissance.
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Which of the following statements about the gold standard is true.
Answer:
is it a SAT or any other subject question as I am not able to understand.
being a student who is preparing for SAT, it is my curiosity that has peaked so please regard my question.
Two samples of solids have similar reactivity with acids and similar densities. Their masses and volumes, however, are not at all similar. Is it possible that these are the same substance?.
The two samples may be the same substance even though they have different masses and volumes.
We must know that properties that identify a substance are called intensive properties. Samples that have similar intensive properties are likely to be the same substance since these properties are characteristic of the substance.
Density is an intensive property. If the two substances have similar densities and similar reactivity with acids, they may be the same substance even though they have different masses and volumes.
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which of the following suggestions would be most beneficial for a reader in order to gain a better understanding of the information presented in this excerpt? skim encyclopedias to learn star names and locations. review scientific journals explaining the various types of clouds. read a variety of sources about the formation of black holes. search web pages focused on personal encounters with black holes.
Answer:
C. Read a variety of sources about the formation of black holes
hope this helps!
Answer:
C. Read a variety of sources about the formation of black holes
Explanation:
Just did on Edge 22
An elevator in a hotel starts at ground level. It rapidly moves up to the third floor, where it stops to unload passengers. The elevator then descends to the basement at a slower speed than before.
The graph correctly represents the story illustrated in the graph.
From the given graph, from the ground floor to the third floor is a rapid acceleration.
During the unload at the third floor, the velocity was constant until all the passengers was unloaded.
The deceleration of the elevator was slower than the acceleration because it occurred at a longer time.
Thus, we can conclude that the graph correctly represents the story illustrated in the graph.
The complete question is below:
An elevator in a hotel starts at ground level. It rapidly moves up to the third floor, where it stops to unload passengers. The elevator then descends to the basement at a slower speed than before. identify whether or not the graph correctly represents the story. Explain your answer.
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What was the main purpose of the declaration of independence brainly.
Answer:
Explaining the colonists' position on the purpose of human government
Explanation:
When prospero and miranda were first exiled, who helped them and how?.
It is very important to help people when they are in need. The person who helped Prospero and Miranda was Gonzalo.
Gonzalo is known to be a very old and honest lord in the passage. He helped Prospero and Miranda to escape only when Antonio has usurped Prospero's title.
In The Tempest, Gonzalo greatly helped Prospero and Miranda. This is because they were banished from Italy. He was known to have given them with food, water, magic books, etc. so that they can survive at sea.
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If body fat has decreased but the scale has stayed the same.
Answer:
It's possible to get thinner without actually seeing a change in your weight. This happens when you lose body fat while gaining muscle. Your weight may stay the same, even as you lose inches, a sign that you're moving in the right direction. ... Another reason scale weight isn't so reliable is that it changes all the time
Which are national us holidays? check all that apply.
There are different types of National holidays. The options that are National US holidays are New Year’s Day and Veterans Day
There are lots of national holidays in America. The United States is known to have has established using law, 12 permanent federal holidays.
They are; New Year's Day, Martin Luther King Jr.'s Birthday, Inauguration Day, George Washington's Birthday, Memorial Day, and Veterans Day, etc.
See full question below
Which are national us holidays? check all that apply.
A.) New Year’s Day
B.) Valentine’s Day
C.) Veterans Day
D.) Arbor Day
E.) Mothers Day
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when an act or law is repealed it can be best described as
Answer:
When an act or law is repealed it can be best described as an end of the law or act.
Explanation:
hi
have a good day
thank me later
carryonlearing
An end to that act or law. A new law or act could take its place
If the same amount of heat is added to 25. 0 g of each of the metals, which are all at the same initial temperature, which metal will have the highest temperature?.
which change of state is shown in the model? condensation boiling sublimation freezing
Answer:Condensation Boiling
Explanation:
A number rounded to the nearest hundred thousand is 400 000.
Answer:
Lowest it can be is 350 000 - when rounded up
Highest it can be is 445 000 - when rounded down
In this stanza, prufrock repeats "do i dare?" three times. What does the repetition indicate about his state of mind? he is indecisive. He is worried about the stairs. He is adventurous. He wants to be on time.
The repetition of the phrase "do i dare?" three times indicates that: he is indecisive.
One of the central themes that were explored in "The Love Song of J. Alfred Prufrock" is the social anxiety that he experiences.
He is worried about people's conception of him and that is why before he descends the stairs, he wonders if he can dare face the people because of the bald spot in the middle of his head and several other insecurities.
So, option A is correct.
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Which statement accurately describes the relationship between diet, exercise, and weight?.
Answer:
Explanation:
Successful weight loss requires a caloric deficit produced by a combination of diet and exercise.
Which statement describes the 3d, 4s, and 4p orbitals of arsenic (as) based on its electronic configuration and position in the periodic table?.
The statement that describes the 3d, 4s, and 4p orbitals of arsenic (as) based on its electronic configuration and position in the periodic table is; The 3d and 4s orbitals are completely filled, and the 4p orbital is partially filled.
The electronic configuration of arsenic is given as; 1s² 2s² 2p^(6) 3s² 3p^(6) 4s² 3d^(10) 4p³.
Now we can see that in that electronic configuration the orbitals are, s, p and D.
Now, the maximum electrons for each of the 3 orbitals are;
Maximum electrons for d orbital = 10 electrons
Maximum electrons for s orbital = 2 electrons
Maximum electrons for p orbital = 6 electrons.
Now, when we compare the maximum number of electrons for each orbital to the ones in electron configuration of arsenic, it is clear from the last 3 orbitals that the 3d and 4s orbitals are completely filled while the 4p orbital is half filled or partially filled.
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What development made exploration to africa easier for europeans.
Answer:
discover of snow on mount Kilimanjaro
Which step is the first one in the social security process brainly.
A food worker has an earache what is the required to do.
Answer: If you are experiencing vomiting, diarrhea, jaundice, or a fever accompanied by a sore throat, the FDA requires that you report your symptoms to your manager.
En mi trabajo hay mucho que hacer. Fired schedule job salary.
C. Job
Explanation:
just did it on edge
The underlined word or phrase in the following sentence means Job. (Option C). This is a test of ones knowledge of synonyms and contextual interpretation.
What is a synonym?When the word could be used exactly instead of the another or is the nearest in meaning to another based on the context in which the other word has been used, the word is said to be a synonym.Examples are Satisfy - Sate, Complete - Finish, Chew - Masticate.
Participle has a verb which acts as an adjective, describing a noun or pronoun. We have the present and past participles. In the phrase example given, 'curious' serves as the participle which describes the 'thing'.This would tells us that the object in question is eager to learn about something.
Therefore, The underlined word or phrase in the following sentence means Job. (Option C). This is a test of ones knowledge of synonyms and contextual interpretation.
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#SPJ6
which description of the council-manager form of city government is most accurate?
Answer:
The council hires an outside expert to make day-to-day decisions.
Explanation:
i know im late but here's the answer
here are the other answers
A software developer wants to add a new feature to an existing application operating in the cloud, but only wants to pay for the computing time the code actually uses when it is called.
Answer:aye bro answer my question
Explanation:
Matthew has a loyalty card good for a discount at his local hardware store. The item he wants to buy is priced at $13, before discount and tax. After the discount, and before tax, the price is $12. 48. Find the percent discount.
During a presidential debate fran agreed with everything said by her.