★ Formula Applied :
[tex]\begin{gathered}\sf \bullet\ \; cos^2x-sin^2x=cos2x\\\\\to\ \sf \pink{sin^2x-cos^2x=-cos2x}\end{gathered}[/tex]
[tex]\begin{gathered}\bullet\ \; \sf sin2x=2.sinx.cosx\\\\\to \sf \blue{sinx.cosx=\dfrac{sin2x}{2}}\end{gathered}[/tex]
[tex]\displaystyle \bullet\ \; \sf \int \dfrac{dx}{x}[/tex]
[tex]\bullet\ \; \sf \ln (ab)=\ln a+\ln[/tex]
★ Explanation :
[tex]\begin{gathered}\displaystyle \sf \int \dfrac{sin^2x-cos^2x}{sinx.cosx}dx\\\\\to \sf \int \dfrac{-cos2x}{\frac{sin2x}{2}}dx\\\\\to \sf \int \dfrac{-2cos2x}{sin2x}dx\end{gathered}[/tex]
Lets use substitution method ,
Let , u = sin2x
⇒ du = 2.cos2x.dx
[tex]\begin{gathered}\to \displaystyle \sf \int \dfrac{-du}{u}\\\\\to \sf -\int \dfrac{du}{u}\\\\\to \sf -ln|u|\\\\\end{gathered}[/tex]
[tex]\to \sf \red{-ln|sin2x|+c}[/tex]
[tex]\to \sf - \ln |2sinx.cosx|+c[/tex]
[tex]\to \sf - \ln |sinx.cosx|+(\ln 2+c)[/tex]
[tex]\leadsto - \sf \red{\ln |sinx.cosx|+c}\ \; \bigstar[/tex]
★ Alternate Method :
[tex]\displaystyle \sf \int \dfrac{sin^2x-cos^2x}{sinx.cosx}[/tex]
[tex]\displaystyle \to \sf \int \left( \dfrac{sin^2x}{sinx.cosx}-\dfrac{cos^2x}{sinx.cosx}\right)dx[/tex]
[tex]\begin{gathered}\displaystyle \to \sf \int \left( \dfrac{sinx}{cosx} -\dfrac{cosx}{sinx} \right)dx\\\\\to\ \sf \int (tanx-cotx)dx\\\\\to \sf \int tanx.dx-\int cotx.dx\\\\\to \sf ln|secx|-ln|sinx|+c\end{gathered}[/tex]
[tex]\to \sf ln\left| \dfrac{secx}{sinx}\right|+c[/tex]
[tex]\begin{gathered}\to \sf ln\left| \dfrac{1}{sinx.cosx} \right|+c\\\\\end{gathered}[/tex]]
[tex]\leadsto \sf \pink{-ln|sinx.cosx|+c}\ \; \bigstar[/tex]
How is Hades' character in The Lightning Thief similar to that of Hades in the? historical text?
It took thousands of years to form the Grand Canyon. What MOST LIKELY caused the formation of the canyon?
A) glacial drift
B) an earthquake
C) a rushing river
D) tectonic plates
Answer:
D)
Explanation:
i think, sorry if it incorrect :P
Well, I found this:
"Then, between 70 and 30 million years ago, through the action of plate tectonics, the whole region was uplifted, resulting in the high and relatively flat Colorado Plateau." So yeah
What is the change in the law that she is objecting to? What is JLWOP?
what were the main characters of creation of the titan and Gods
Answer:
The Creation of the Titans and the Gods Lyrics Out of the original emptiness, which was called Chaos, emerged the first three immortal beings: Gaea (Mother Earth), Tartarus, who ruled the deepest, darkest region of the Underworld, and Eros (Love), whose great beauty inspired the creation of many of the deathless gods.
50 POINTS Y'ALL!!!! SELECT ALL THAT APPLY
Read the excerpt below from The Call of the Wild by Jack London and answer the question that follows. "The toil of the traces seemed the supreme expression of their being, and all that they lived for and the only thing in which they took delight." Which theme(s) does this quotation touch upon? SELECT ALL THAT APPLY
1.the primitive vs. civilization
2.the value of work
3.the laws of man
4.the laws of nature
SELECT ALL THAT APPLY, thanks - throckmorton
Answer:
The answer is:
2. The value of work.
Explanation:
The reasoning behind this is that the excerpt is talking about how "they" had worked hard on the "toil" (land, crops, etc.) and are delighted (happy) of the result of the hard work they put into maintaining the land. They value their work because the land turned to be great.
Answer:
The answer 2, the value of work
AND
1, the primitive vs. civilization
1 AND 2
In her diary, how does Anne Frank make a connection between herself and her mother? She describes the words and phrases they both frequently use when they speak. She writes about how people often confuse her and her mother because they look so much alike. She includes dialogue in which her mother categorizes them both as bold and strong-willed. She compares herself and her mother to the same person - a friend she knew before going into hiding.
Answer:
A) She compares herself and her mother to the same person - a friend she knew before going into hiding. ... She writes about how people often confuse her and her mother because they look so much alike
Explanation:
i read the diary
Answer:
She includes dialogue in which her mother categorizes them both as bold and strong-willed.
Explanation:
A. Rewrite each sentence, using the correct form of the verb in parentheses.
1. Long ago Plutarch —-_stories of Greeks and Romans. (relate)
2. Today we ? a person's life story a biography. (call)
3. Writers today still ? from Plutarch. (learn)
4. His work
a model for future biographers as well. (be)
5. Modern biography ? three hundred years ago. (originate)
Answer:
1. Long ago, Plutarch related stories of Greeks and Romans.
2. Today, we call a person's life story a biography.
3. Writers today still learn from Plutarch.
4. His work will be a model for future biographers as well.
5. Modern biography originated three hundred years ago.
Explanation:
Address is capitalize correctly? 350 South Maryhill Rd.
Answer:
Looks correct
Explanation:
Which of the following presentations would best be organized using a spatial pattern?
a. “Video Games and Super Mario”
b. “The Douglas Fir and Other Evergreen Trees”
c. “Great Places to Visit in Florida”
d. “The History of the Computer”
Answer: c great places to visit in florida
Explanation: i took the quiz
Which sentences demonstrate correct use of commas with quotation marks?
Answer:
D and E
Explanation:
SENTENCE AGREEMENT
(a)
Rewrite the sentence below into its singular form.
My brothers are in Lautoka.
Answer:
My brother is in Lautoka.
I feel this i correct :)
Answer:
My brother is in Lautoka
Kenya is using the Internet to research the history of rock music in the United States. Which is the best way she can determine whether the sites she finds are reliable sources?
She can check if the sites have .gov, .org, or .edu URLs.
She can check if the sites provide information that relates to her topic.
She can check if the sites contain information she agrees with.
She can check if the sites include statistics and charts.
Answer:
option A
Explanation:
edge 2020
How many ATP are generated in the electron transport chain?
2
4
32
36
Answer:
The answer is 32 ATP
Answer:
32 atp
Explanation:
Part A
The first step in writing your essay is choosing your topic and coming up with a thesis. In the space provided below,
identify your research topic and write down your thesis statement.
Answer:
Explanation:
Your thesis statement belongs at the end of your first paragraph, also known as your introduction. Use it to generate interest in your topic and encourage your audience to continue reading.Oct 13, 2020
Dickinson wrote many poems in which the speaker is already dead, such as the one beginning "Because I
could not stop for Death." Based on this poem, what did Dickinson believe happens after death?
A.The soul goes on for eternity.
B.The soul ceases to exist.
C.The soul is haunted by common houseflies.
D.The soul meets the "king" and enters heaven.
Answer:
The soul goes on for eternity.
Explanation:
The other passenger in Death's carriage is "Immortality."
The soul goes on for eternity in this poem, as Dickinson believe happens after death. Thus, option (a) is correct.
What is death?The term death refers to the brain function are stopped. The brain was, and other senses are stopped, and also the blood rotation was stopped. There are different types of death such as sudden death, accidental death, murder death, and disses death. The death was person life was the stopped or end.
Dickinson thinks that after death, the soul lives on for eternity. The spirit departs for the spirit realm. The spiritual world is a time delay until we get the gift of revival, when our energies will be reunited with our body. When a person is dead, his or her spirit goes to God, the corpse return to dust, and the spirit of that individual no longer exists.
As a result, the soul goes on for eternity in this poem is the death. Therefore, option (a) is correct.
Learn more about on death, here:
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USING APOSTROPHES, HYPHENS, DASHES, BRACKETS, AND PARENTHESES CORRECTLY Correct each error in the use of apostrophes, hyphens, dashes, brackets, and parentheses in the following sentences. You may need to add, delete, or change marks of punctuation.
Doesnt this turkey look oh, no, the cat must have gotten up on the counter!
Answer:
Doesn't this turkey look- Oh no, the cat must have gotten up on the counter!
Explanation:
Hope this helps have a gr8 day^^
Answers may vary. Doesn’t this turkey look—oh, no, the cat must have gotten up on the counter!
Explanation:
answer on edge uity
is he a good person into affirmative???
Answer:
He is a good person.
Explanation:
Why is it important to find the most recent scientific information about a topic? Most researchers are focused on disproving the work of their peers. All that we know about science is built on past discoveries. Scientists regularly change their interpretations of the facts. What is known about a science topic can change from year to year.'
Answer:
D) What is known about a science topic can change from year to year.
Explanation:
You may decide that one of these interpretations is better than the other. But you also might think that both factors cause the spread of pandemics, and include these two different interpretations in your own report. To see another example of facts with two different interpretations, compare the two articles below. As you read, notice which details the writers indicate are facts and which statements seem like interpretations.
Answer:
D :) I got in on the test
Explanation:
why Asia has the highest percentage of native speakers?
Answer:
That’s because Asia has become this engine of growth. There’s just a lot of attraction here for [foreign direct investment], even for Asian countries wanting to invest outside their own countries. China, for example, has now made an official policy to encourage Chinese companies and state-owned enterprises to invest outside of China.”
Explanation:
Answer:
Chinese — 1.3 Billion Native Speakers. Numbers vary widely — Ethnologue puts the number of native speakers at 1.3 billion native speakers, roughly 917 million of whom speak Mandarin — but there's no doubt it's the most spoken language in the world.
Explanation:
what is grammatically correct
Answer:
In order for a sentence to be grammatically correct, the subject and verb must both be singular or plural. In other words, the subject and verb must agree with one another in their tense.
Explanation:
Mark me brainliest, i am so close to the expert rank!
Write a brief summary of "The Immigrant Contribution.
Answer:
The Immigrant Contribution is a story written to show the reader all the things Immigrants have done for us as a whole and how we should appreciate the things they do for us because some of the things that need to be done that we are not willing to do willow done by immigrants maybe to get some money to provide for people.
The Immigrant Contribution is a story written to show the pursuer everything Immigrants have accomplished for us all in all and how we ought to see the value in the things they accomplish for us since a portion of the things that should be done that we are not ready to do willow done by immigrants perhaps to get a cash to accommodate individuals.
What was The Immigrant Contribution?Huge as the immigrant job was in legislative issues and in the economy, the immigrant contribution to the callings and human expressions was maybe much more prominent.
Maybe the most inescapable impact of movement is to be found in the countless subtleties of life and the traditions and propensities brought by a huge number of individuals who never became renowned.
This effect was felt from the base up, and these contributions to American foundations might be the ones which most personally influence the existences of all Americans.
Therefore Immigrants likewise make a significant contribution to the U.S. economy.
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Jimmy saw his friend cheating on a test. He told the teacher
Answer:
Uhh... Okay-
Explanation:
Answer:
Uhhh Jimmmy how could you!
Explanation:
Which of the following statements best summarizes the author’s viewpoint about Wilson’s hesitancy and final decision to enter World War I? Wilson didn’t think that the outcome of the war would affect the United States. Wilson had no choice once the Germans engaged in acts of hostility toward the United States. Wilson wanted to avoid angering Americans of German descent. Wilson was naive in believing that there could be peace without military victory.
Answer:
Wilson had no choice once the Germans engaged in acts of hostility toward the United States.
Explanation:
The statement that summarizes the author’s viewpoint about Wilson’s hesitancy and final decision to enter World War I is that he had no choice once the Germans engaged in acts of hostility toward the United States.
What was Wilson's policy during WWI?During the WWI, Former President Wilson pursued the policy of Neutrality which prevent the U.S. from involving the European war
However, the U.S. eventually entered in the War in support of its allies.
Thus, the statement that summarizes the author’s viewpoint about Wilson’s hesitancy and final decision to enter World War I is that he had no choice once the Germans engaged in acts of hostility toward the United States.
Therefore, the Option B is correct.
Read more about Neutrality policy
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How does Ben Franklin react when Charles, Dr. Mesmer's assistant, tries to mesmerize him?
Answer:Angry
Explanation:
Eruptions of molten material, magnetic stripes in the rock of the ocean floor, and the ages of the rocks themselves; this evidence led scientists to look again at Wegener's hypothesis of continental drift. ... Eruptions of molten material, which results in continent material is a piece of evidence of seafloor spreading.
What is an indirect source? How should it be handled?
An indirect quote is when you quote a source that is cited and/or quoted in another source. MLA calls these 'indirect sources. ' As a general rule, you should try to avoid using indirect sources.
Answer:
An indirect quote is when you quote a source that is cited and/or quoted in another source. MLA calls these 'indirect sources. ' As a general rule, you should try to avoid using indirect sources.
Explanation:
TIME REMAINING
49:48
The diagram below shows the stages of succession in a forest ecosystem.
A diagram showing 4 stages of succession in a forest ecosystem. Stage A: A mature forest. A fire occurs, resulting in Stage B, a burnt forest where nothing is growing. Stage C, pioneer plant species grow in the bare ground. More species follow and grow bigger. Stage D: A mature forest with several tree species and younger trees.
Which area shows the climax community of secondary succession?
A
B
C
D
Answer:
d
Explanation:
This story happened a few years ago when British people could go on a day trip to
France without a passport. It is about a Mrs. and Mrs. Elham who went on a day trip to
Boulogne.
When they (a) _____________ their shopping, the couple (b) _____________ for a
walk to see the sights of the town. Unfortunately, they didn’t (c) _____________ much
French and couldn’t really (d) _____________ the street signs, so they (e)
_____________ completely lost. The French people they (f) _____________ were
very kind and eventually they (g) _____________ a lift to the railway station.
As the last ferry (h) _____________, the Elhams (i) _____________ to go to Paris and
(j) _____________ their way back to Dover from there. Unfortunately, they (k)
_____________ the wrong train and (l) _____________ themselves the next morning
– in Luxembourg! The local police (m) _____________ (the confused passengers on a
train for Paris and they (n) _____________ most of the way – all too soundly in fact, for
they (o) _____________ their connection and (p) _____________ in Basel in
Switzerland!
The obliging Swiss police (q) _____________ the couple directions back to Boulogne
but somehow the (r) _____________ their way again and ended up (s)
_____________ over sixty kilometers to Vesoul in central France. A long-distance
lorry driver gave the confused couple a lift to Paris, but when they (t) _____________
the Gare du Nord, their troubles were not over.
‘We (u) _____________ the signs,’ Mrs. Elham (v) _____________ ‘and took the train
to Bonn in Germany.’
From Germany the Elhams (w) _____________ quickly back to France. At the border,
a sympathetic gendarme decided to (x) _____________ they got to Boulogne safely,
so he (y) _____________ them all the way there.
As they didn’t have passports, it took twenty-four hours to (z) _____________ the
Customs that their unreal story (a1) _____________ possibly be true. But at last they
were allowed on a ferry and soon the familiar white cliffs of Dover (b1) _____________
the Elhams back to England.
Answer:
I have two things tell me if this one is wrong
Explanation:
FOSSILIZATION: A CHRONIC CONDITION OR IS CONSCIOUSNESS-RAISING THE CURE?
by
PAUL BUTLER-TANAKA
A dissertation submitted to the
Faculty of Arts
of the University of Birmingham
for the degree of
Master of Arts in
Teaching English as a Foreign or Second Language (TEFL/TESL)
What would you say is the Author's opinion in "The So-Called American Dream"? *
A. Americans no longer desire anything but goods.
B. In the future Americans must return to their agrarian roots.
Consumerism is the greatest of all American dreams.
C. The American dream never existed.
Answer:
The answer is option B " In the future Americans must return to their agrarian roots"
Explanation:
The American Dream is the fantasy of an entire country. It portrays the massive potential outcomes that are related with the USA, from the early pilgrims to introduce day settlers: the larger part had faith in a superior life, without bias and with better opportunities to get by. In spite of the fact that the term was instituted a lot later, the American Dream itself has been there since the principal pioneers set foot on American soil. The conviction, anybody can create to their fullest potential and arrive at aspiring objectives, up to one buckles down enough for it. Strangely, the Fantasy has numerous appearances, and what it portrays relies altogether upon one's character - for some it is social or monetary achievement, for other people, it may very well be living joyfully in a little house with their family, or having barely enough to appreciate a substance life.
What is the main topic of this article?
a. Blood letting was used to balance the four
humors, as imbalance of the four humors was
believed to be the cause of disease.
b. George Washington was nearly bled to death.
c. Sheep blood used to used for blood
transfusions.
d. Sheep's blood will kill you.
Answer:
A. Bloodletting was used to balance the four humors, as imbalance of the four humors was believed to be the cause of disease.
Explanation:
The article you were given is the following:
Bloodletting represents the folly of the past, the sorcery and the misguided physiology that we now proudly say marked the dark ages of medicine - or did it? In fact, bloodletting has a place in medicine today and a history that is worthy of review.
The Four Humors
he traditionally held "Father of Medicine" was the Greek physician Hippocrates (460-370 BC), who taught medicine on the island of Cos. One of his major precepts was the rule of harmony, the theory that all body systems were in balance and that disease resulted from an imbalance. Galen (130-201 AD) was the physician to Marcus Aurelius and became the heir to Hippocrates and one of the most influential physicians of all times. He taught the importance of maintaining balance between the four bodily fluids, or "humors": blood, phlegm, yellow bile, and black bile. Each fluid was associated with a specific personality characteristic. Blood was associated with a sanguine personality, that is laughter, music, and a passionate disposition. Someone with a phlegmatic personality was sluggish and dull, while yellow bile represented an individual quick to anger or choleric (cholera meaning yellow as in yellow fever). Lastly, black bile represented a melancholic or depressed personality, melan meaning black. It was the job of the physician to restore harmony in those four humors by the use of emetics, cathartics, purgatives, and by bloodletting. Bleeding was used to reduce excess circulation, to slow the pulse, and to "reduce irritation", all felt to be the cause of inflammation. Dr. Benjamin Rush, a signer of the Declaration of Independence, was a major figure in colonial American medicine and was an important proponent of bleeding, though unfortunately he mistakenly thought that the body held 12 instead of 6 quarts. Shortly before his death, George Washington was bled 4 ‡ quarts in 24 hours for an infected throat and died not long after.
Early transfusion was based on the notion that giving blood would help balance the humors. On June 15, 1667, Jean Davis replaced part of a patient's blood with sheep's blood though the patient died and Dr. Davis was subsequently accused of murder. Transfusion was set back until the 19th century, well before blood typing was understood.
The topic is the general subject of a piece of writing. The main topic is the one that is the most prominent, the one the text is mostly dedicated to.
The main topic of this article is that bloodletting was used to balance the four humors, as the imbalance of the four humors was believed to be the cause of disease. As we can see, most of the article is dedicated to what bloodletting was used for, why it was used, and the origin of such use. This is why option A is the correct one.
The rest of the options are incorrect because they are just details. Option B is a detail related to bloodletting, while options C and D are related to transfusions, which are not the main topic.
Answer:
A
Explanation:
Distinguish
Between the following types of communication by giving examples in each
a) vertical
and Horizontal communication
b) Informal and formal communication
c) Oral and written communication
Explanation:
A. Vertical communication
-
Horizontal Cimmunication
-
B.Informal Communication
- Jargon
Formal
- Speech
C. Oral Communication
- face to face
Wtitten
-Poem