How do I return from the dialogue below into my plain writing once again? Do I begin a new paragraph? The old man is impressed by Manolin's...

Every line of your dialogue should include quotation marks that begin and end each exchange. For example, the first two lines of your conversation should read as:

"Now we fish together again."

"No. I am not lucky. I am not lucky anymore."

And so on. That way, when you return to the narrative in a new paragraph, the reader will understand the difference between when the characters speak and when the essayist returns.

Is this...

Every line of your dialogue should include quotation marks that begin and end each exchange. For example, the first two lines of your conversation should read as:

"Now we fish together again."

"No. I am not lucky. I am not lucky anymore."

And so on. That way, when you return to the narrative in a new paragraph, the reader will understand the difference between when the characters speak and when the essayist returns.

Is this entire block a quotation from The Old Man and the Sea? If so, make sure to copy it exactly as Ernest Hemingway wrote it, or exactly as it appears in the source you are using. If there are cues like "the boy said," you must (or at least should) include them. Those cues must appear outside the quotation marks, though. For example, I believe the full text reads:

"The hell with luck," the boy said. "I'll bring the luck with me."

These character cues allow the reader to follow the dialogue more easily. I see you took this one out and inserted an ellipsis in its place. I wouldn't do this. You want to make your essay as logical and as easy to understand as possible.

What is Abraham Lincoln's biggest fear politically?

Lincoln’s greatest political fear was that the schism fronted by abolitionists was likely to divide the country into slaveholding and non-slaveholding states. Passage of the Kansas-Nebraska Act only served to intensify the abolitionist movement, and although Lincoln supported abolition, he was afraid the tactics being employed threatened national unity. He sought to leave slavery undisturbed in the areas it already existed, but at the same time, he tried to stop its spread.

As he took over the presidency of the United States, his worst fears became manifest; South Carolina officially seceded and was soon joined by other pro-slavery states. After the first shots were fired at Fort Sumter, Lincoln had no choice but to marshal Union troops to arrest the rebellion. After extensive maneuvering by the president, the war was won, and the Union survived.

What are benefits and drawbacks of traveling in your own country as opposed to traveling abroad?

There is a wise saying that “People do the same thing for different reasons.” This truism is helpful in determining the benefits and drawbacks of any kind of travel. What are your reasons for traveling? If comfort and immediate gratification are high on your list, domestic travel avoids or mitigates the foreign travel inconveniences of long flights, potential language barriers, unfamiliar social customs, and financial burdens. You can enjoy the mobility and convenience of a...

There is a wise saying that “People do the same thing for different reasons.” This truism is helpful in determining the benefits and drawbacks of any kind of travel. What are your reasons for traveling? If comfort and immediate gratification are high on your list, domestic travel avoids or mitigates the foreign travel inconveniences of long flights, potential language barriers, unfamiliar social customs, and financial burdens. You can enjoy the mobility and convenience of a personal car, for example, and your schedule can be flexible and altered on a whim. Foreign travel usually requires a lot of planning, preparation, and scheduling – visas may be needed in addition to passports and currency often has to be exchanged. On the other hand, foreign travel gives one a more universal view of what the world is like, broadens one’s understanding of human nature, and prepares one for a global worldview and economy. If one of your strongest motivations is to get to know your own environment, you may want to travel in your own country to visit relatives or see national sites such as parks and museums.

Are the somatosensory cortex and the somatic nervous system one and the same or are they two separate components of the brain?

The nervous system is one of the most complex systems in the body. It can be subdivided into a central nervous system made up of the brain and the spinal cord and a second part called the peripheral nervous system made up of the rest of the nervous system outside the brain and spinal cord.

The somatic nervous system is part of the peripheral nervous system and it is responsible for the movement of voluntary...

The nervous system is one of the most complex systems in the body. It can be subdivided into a central nervous system made up of the brain and the spinal cord and a second part called the peripheral nervous system made up of the rest of the nervous system outside the brain and spinal cord.

The somatic nervous system is part of the peripheral nervous system and it is responsible for the movement of voluntary muscles. It comprises of afferent and efferent nerves which transmit nerve impulses back and forth between the central nervous system and skeletal muscles, skin and sensory organs.

On the other hand, the somatosensory cortex is part of the cerebral cortex and it is located in the middle of the brain. Its main function is to process sensations or external stimuli from the environment.

So in summary, the somatosensory cortex is a component of the brain and is responsible for processing sensations or stimuli from the environment, but the somatic nervous system is not a component of the brain but a part of the peripheral nervous system responsible for transmitting impulses back and forth between the central nervous system and the skeletal muscles, skin and sensory organs.

Describe the family that move into Canterville Chase.

At the beginning of "The Canterville Ghost," Lord Canterville sells his ancestral home, Canterville Chase, to an American, Mr Hiram B Otis, and his family. Mr Otis is an American ambassador and his wife, Lucretia, a former "New York belle," is notable for her "superb profile." The couple have four children, the eldest of whom is Washington Otis, a "fair-haired" and "good-looking young man" whose excellent dancing skills are well-known in London. The couple's only...

At the beginning of "The Canterville Ghost," Lord Canterville sells his ancestral home, Canterville Chase, to an American, Mr Hiram B Otis, and his family. Mr Otis is an American ambassador and his wife, Lucretia, a former "New York belle," is notable for her "superb profile." The couple have four children, the eldest of whom is Washington Otis, a "fair-haired" and "good-looking young man" whose excellent dancing skills are well-known in London. The couple's only daughter is Virginia, a girl of fifteen, described as being as "lovely as a fawn" and well-known for her excellent skills in pony riding. Finally are the twin boys, known among the family as the Stars and the Stripes because they are always getting "swished." They are extremely mischievous by nature, perhaps as a result of their young age. 

From the  beginning of the story, the family members are characterised their sceptical attitude towards the supernatural. They do not believe Lord Canterville, for instance, when he tells them about the Canterville ghost. This attitude of scepticism quickly fades, however, when the Otis family meet the ghost in Chapter Two. From this point, the Otis family assert their dominance by resisting his numerous attempts to scare them.

`4x^3 + ln(y^2) + 2y = 2x` Use implicit differentiation to find dy/dx

Find `(dy)/(dx) ` if `4x^3+lny^2+2y=2x `

Rewrite the second term using a property of logarithms:

`4x^3+2lny+2y=2x `

Divide through by 2:

`2x^3+lny+y=x `

Differentiate term by term with respect to x:

`6x^2+1/y*(dy)/(dx)+(dy)/(dx)=1 `

`(dy)/(dx)(1/y+1)=1-6x^2 `

`(dy)/(dx)=(1-6x^2)/(1/y+y) `

`(dy)/(dx)=(y-6x^2y)/(1+y^2) `

Find `(dy)/(dx) ` if `4x^3+lny^2+2y=2x `

Rewrite the second term using a property of logarithms:

`4x^3+2lny+2y=2x `

Divide through by 2:

`2x^3+lny+y=x `

Differentiate term by term with respect to x:

`6x^2+1/y*(dy)/(dx)+(dy)/(dx)=1 `

`(dy)/(dx)(1/y+1)=1-6x^2 `

`(dy)/(dx)=(1-6x^2)/(1/y+y) `

`(dy)/(dx)=(y-6x^2y)/(1+y^2) `

How do you factor ab(a+b)+bc(b+c)+ca(c+a)+3abc?

In order to factor this expression, first open all parenthesis by distributing the term in front of the parenthesis. The given expression will then become

`a^2b + ab^2 + b^2c +bc^2 + ac^2 + a^2c + 3abc` .

We need to group these terms in a way so that we could find some common factors. Now there are 7 terms in the expression, which is not a very convenient number. However, the coefficient 3 in front...

In order to factor this expression, first open all parenthesis by distributing the term in front of the parenthesis. The given expression will then become

`a^2b + ab^2 + b^2c +bc^2 + ac^2 + a^2c + 3abc` .

We need to group these terms in a way so that we could find some common factors. Now there are 7 terms in the expression, which is not a very convenient number. However, the coefficient 3 in front of the abc term gives us a clue that this term should be broken up into 3: abc + abc + abc.

Now we have 9 terms, which we can group into three groups of three so that each group has a common factor:

`a^2b + a^2c + abc = a(ab + ac + bc)`

`ab^2 + b^2c + abc = b(ab + bc + ac)`

`bc^2 + ac^2 + abc = c(bc + ac + ab)`

Note that the expressions in parenthesis are the same, so the three groups of terms have a common trinomial factor! It can be factored out, and the entire sum of nine (originally, seven) terms becomes

`(a + b+c)(ab + ac + bc)` .

The given expression can be factored as `(a + b + c)(ab + ac + bc)`