What were two major changes in British policy toward the colonies that led to the Revolution?

August 24, 2018 Educator

MATH

4×2+2x−1×2(x+1)4×2+2x-1×2(x+1) Write the partial fraction decomposition of the rational…

4×2+2x−1×2(x+1)=Ax+Bx2+Cx+14×2+2x-1×2(x+1)=Ax+Bx2+Cx+1 Multiply through by the LCD x2(x+1).x2(x+1). 4×2+2x−1=Ax(x+1)+B(x+1)+Cx24x2+2x-1=Ax(x+1)+B(x+1)+Cx2 4×2+2x−1=Ax2+Ax+Bx+B+Cx24x2+2x-1=Ax2+Ax+Bx+B+Cx2 4×2+2x−1=(A+C)x2+(A+B)x+B4x2+2x-1=(A+C)x2+(A+B)x+B Equate the…

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MATH

2x−3(x−1)22x-3(x-1)2 Write the partial fraction decomposition of the rational expression….

2x−3(x−1)22x-3(x-1)2 Let2x−3(x−1)2=Ax−1+B(x−1)22x-3(x-1)2=Ax-1+B(x-1)2 2x−3(x−1)2=A(x−1)+B(x−1)22x-3(x-1)2=A(x-1)+B(x-1)2 2x−3(x−1)2=Ax−A+B(x−1)22x-3(x-1)2=Ax-A+B(x-1)2 ∴(2x−3)=Ax−A+B∴(2x-3)=Ax-A+B comparing the coefficients of the like terms, A=2A=2…

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MATH

3x(x−3)23x(x-3)2 Write the partial fraction decomposition of the rational expression. Check…

3x(x−3)23x(x-3)2 Let3x(x−3)2=Ax−3+B(x−3)23x(x-3)2=Ax-3+B(x-3)2 3x(x−3)2=A(x−3)+B(x−3)23x(x-3)2=A(x-3)+B(x-3)2 ∴3x=A(x−3)+B∴3x=A(x-3)+B 3x=Ax−3A+B3x=Ax-3A+B equating the coefficients of the like terms, A=3A=3 −3A+B=0-3A+B=0 plug the value of the…

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MATH

x+2x(x2−9)x+2x(x2-9) Write the partial fraction decomposition of the rational expression….

x+2x(x2−9)x+2x(x2-9) x+2x(x2−9)=x+2x(x+3)(x−3)x+2x(x2-9)=x+2x(x+3)(x-3) Now let x+2x(x2−9)=Ax+Bx+3+Cx−3x+2x(x2-9)=Ax+Bx+3+Cx-3 x+2x(x2−9)=A(x+3)(x−3)+B(x)(x−3)+C(x)(x+3)x(x+3)(x−3)x+2x(x2-9)=A(x+3)(x-3)+B(x)(x-3)+C(x)(x+3)x(x+3)(x-3)…

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MATH

x2+12x+12×3−4xx2+12x+12×3-4x Write the partial fraction decomposition of the rational…

x2+12x+12×3−4x=x2+12x+12x(x+2)(x−2)x2+12x+12×3-4x=x2+12x+12x(x+2)(x-2) x2+12x+12×3−4x=Ax+Bx+2+Cx−2×2+12x+12×3-4x=Ax+Bx+2+Cx-2 Multiply through by the LCD x3+4x.x3+4x. x2+12x+12=A(x2−4)+Bx(x−2)+Cx(x+2)x2+12x+12=A(x2-4)+Bx(x-2)+Cx(x+2)…

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MATH

14×2−914×2-9 Write the partial fraction decomposition of the rational expression. Check…

14×2−9=1(2x+3)(2x−3)14×2-9=1(2x+3)(2x-3) 14×2−9=A2x+3+B2x−314×2-9=A2x+3+B2x-3 Multiply through the the LCD 4×2−9.4×2-9. 1=A(2x−3)+B(2x+3)1=A(2x-3)+B(2x+3)1=2Ax−3A+2Bx+3B1=2Ax-3A+2Bx+3B 1=(2A+2B)x+(−3A+3B)1=(2A+2B)x+(-3A+3B)Equate the coefficient of like…

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MATH

1×2−11×2-1 Write the partial fraction decomposition of the rational expression. Check…

1×2−1=1(x+1)(x−1)1×2-1=1(x+1)(x-1) 1×2−1=Ax+1+Bx−11×2-1=Ax+1+Bx-1 Multiply through by the LCD x2−1.×2-1. 1=A(x−1)+B(x+1)1=A(x-1)+B(x+1) 1=Ax−A+Bx+B1=Ax-A+Bx+B 1=(A+B)x+(−A+B)1=(A+B)x+(-A+B) Equate the coefficients of like terms. Then…

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MATH

x+1×2−x−6x+1×2-x-6 Write the partial fraction decomposition of the rational expression….

x+1×2−x−6x+1×2-x-6 Let’s factorize the denominator, x2−x−6=x2−3x+2x−6×2-x-6=x2-3x+2x-6 =x(x−3)+2(x−3)=x(x-3)+2(x-3) =(x−3)(x+2)=(x-3)(x+2) ∴x+1×2−x−6=x+1(x−3)(x+2)∴x+1×2-x-6=x+1(x-3)(x+2) Now letx+1×2−x−6=Ax−3+Bx+2x+1×2-x-6=Ax-3+Bx+2…

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MATH

3×3+x−23×3+x-2 Write the partial fraction decomposition of the rational expression. Check…

You need to decompose the fraction into irreducible fractions, such that: 3×3+x−2=3×3+x−1−1=3(x3−1)+(x−1)3×3+x-2=3×3+x-1-1=3(x3-1)+(x-1) 3(x3−1)+(x−1)=3(x−1)(x2+x+1)+(x−1)3(x3-1)+(x-1)=3(x-1)(x2+x+1)+(x-1)

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MATH

5×2+x−65×2+x-6 Write the partial fraction decomposition of the rational expression. Check…

5×2+x−6=5(x+3)(x−2)5×2+x-6=5(x+3)(x-2) 5×2+x−6=Ax+3+Bx−25×2+x-6=Ax+3+Bx-2Multiply through by the LCD (x+3)(x-2). 5=A(x−2)+B(x+3)5=A(x-2)+B(x+3) 5=Ax−2A+Bx+3B5=Ax-2A+Bx+3B 5=(A+B)x+(−2A+3B)5=(A+B)x+(-2A+3B)Equate coefficients. Then solve for…

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MATH

12×2+x12x2+x Write the partial fraction decomposition of the rational expression. Check…

12×2+x12x2+x To decompose this into partial fractions, factor the denominator. 1x(2x+1)1x(2x+1) Write a fraction for each factor. Since the numerators are still unknown, assign a variable to each…

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MATH

3×2−3x3x2-3x Write the partial fraction decomposition of the rational expression. Check…

3×2−3x3x2-3x To decompose a fraction, factor the denominator. 3x(x−3)3x(x-3)Then, write a fraction for each factor. Since the numerator is still unknown, assign a variable to the numerator of each…

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MATH

1×2−2x1x2-2x Write the partial fraction decomposition of the rational expression. Check…

1×2−2x=1x(x−2)1×2-2x=1x(x-2) 1x(x−2)=Ax+Bx−21x(x-2)=Ax+Bx-2 Multiply through by the LCD x(x-2). 1=A(x−2)+Bx1=A(x-2)+Bx 1=Ax−2A+Bx1=Ax-2A+Bx 1=(A+B)x−2A1=(A+B)x-2A Equate the coefficients of like terms to solve for A and B….

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MATH

x+4×2(3x−1)2x+4×2(3x-1)2 Write the form of the partial fraction decomposition of the…

x+4×2(3x−1)2=Ax+Bx2+C3x−1+D(3x−1)2x+4×2(3x-1)2=Ax+Bx2+C3x-1+D(3x-1)2

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MATH

x−1x(x+1)2x-1x(x+1)2 Write the form of the partial fraction decomposition of the rational…

x−1x(x+1)2=Ax+Bx+1+C(x+1)2x-1x(x+1)2=Ax+Bx+1+C(x+1)2

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MATH

6x+5(x+2)46x+5(x+2)4 Write the form of the partial fraction decomposition of the rational…

6x+5(x+2)4=6x+5(x+2)(x+2)(x+2)(x+2)=Ax+2+B(x+2)2+C(x+2)3+D(x+2)46x+5(x+2)4=6x+5(x+2)(x+2)(x+2)(x+2)=Ax+2+B(x+2)2+C(x+2)3+D(x+2)4

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MATH

4×2+3(x−5)34×2+3(x-5)3 Write the form of the partial fraction decomposition of the rational…

4×2+3(x−5)34×2+3(x-5)3 To decompose this fraction, consider the factor in the denominator. The factor is repeated three times. So the partial fraction of this will have denominator in increasing…

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MATH

2x−3×3+10x2x-3×3+10x Write the form of the partial fraction decomposition of the rational…

2x−3×3+10x=2x−3x(x2+10)=Ax+Bx+Cx2+102x-3×3+10x=2x-3x(x2+10)=Ax+Bx+Cx2+10

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MATH

9×3+7x29x3+7×2 Write the form of the partial fraction decomposition of the rational…

9×3+7×2=9×2(x+7)=Ax+Bx2+Cx+79×3+7×2=9×2(x+7)=Ax+Bx2+Cx+7

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MATH

x−2×2+4x+3x-2×2+4x+3 Write the form of the partial fraction decomposition of the…

x−2×2+4x+3=x−2(x+1)(x+3)=Ax+1+Bx+3x-2×2+4x+3=x-2(x+1)(x+3)=Ax+1+Bx+3

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MATH

3×2−2x3x2-2x Write the form of the partial fraction decomposition of the rational…

3×2−2x=3x(x−2)=Ax+Bx−23×2-2x=3x(x-2)=Ax+Bx-2

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OF MICE AND MEN

In Steinbeck’s Of Mice and Men, what further details do we learn about the incident in Weed? How…

The first information about the incident in Weed comes out in Chapter One when George’s suppressed anger at Lennie explodes and he tells him–and the reader–everything he feels about their…

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BLUES AIN’T NO MOCKINGBIRD

How do the men react to Granny’s asking them to stop filming in “Blues Ain’t No Mockin Bird” ?

When Granny tells the men filming the yard that she does not want them to do so, the two men back out of the yard, but the camera man continues filming, even when she asks that they turn off the…

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HISTORY

What human rights did Stalin violate?

Stalin violated many human rights. He needlessly executed top generals out of fear that they would become more powerful and more beloved than him. He occupied Eastern Europe after WWII and…

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LYDDIE

In the book Lyddie what is Patterson personifying?

Lyddie personifies factory girls and their problems. In the larger sense, Lyddie is a symbol. She is representing all of the factory girls who lived in the 1800’s and the struggles they went…

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BLUES AIN’T NO MOCKINGBIRD

How do the men react to Granny asking them to stop filming in Toni Cade Bambara’s “Blues Ain’t No…

In Toni Cade Bambara’s short story “Blues Ain’t No Mockin Bird,” the two men react towards Granny’s command to stop filming her house and family by treating her disrespectfully and behaving as if…

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MACBETH

How is Macbeth, set in Scotland, linked to the Gunpowder Plot?

Some scholars detect direct references to the Gunpowder Plot of 1605 in the text of the play itself, which is believed to have been completed the year after Guy Fawkes attempted to blow up…

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SCIENCE

What is the difference between calcination and roasting?

Calcination and roasting are both ore processing metallurgical methods which are used to generate metal oxides. In both the methods, ores are heated below their melting points. There are a number…

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A CHRISTMAS CAROL

What is the most significant moment in Stave Two of A Christmas Carol by Charles Dickens?

In Stave Two Scrooge is visited by the first of the three spirits Marley’s Ghost told him would come. The Spirit of Christmas Past takes Scrooge to visit several scenes of his own past and one of…

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THINGS FALL APART

Why has Okonkwo been banished for seven years when he inadvertently killed Ezeudu’s 16-year-old…

In Chinua Achebe’s Things Fall Apart, Okonkwo is in fact banished from his community in Umuofia and forced to move his family to his mother’s homeland of Mbanta after inadvertently killing a 16…

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ROMEO AND JULIET

In the play Romeo and Juliet, Tybalt and Mercutio stand out for their similarities as well as their differences.The most notable similarity is that they are both fiery-tempered and very quick to…

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MACBETH

How is Macbeth portrayed as evil in the play?

Early in the play, we see that Macbeth, though not without a sense of honor and loyalty, allows his ambitions to supersede and eventually drive these virtues from his being, so to speak. After…

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GAMES AT TWILIGHT

What is Mira’s character like in “Games at Twilight”?

Mira is the alpha leader of the group. Kids do what she says, because she has a dominating personality. Some people might call is bossy, and I would agree with that, but the story describes her…

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THUCYDIDES

What topics does Thucydides discuss in Book 2 of the History of the Peloponnesian War?

In the first book of his History of the Peloponnesian War, Thucydides gave the background information for the conflict, culminating with Pericles’ first speech in Athens. In book 2, he gets into…

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A CHRISTMAS CAROL

How does Dickens present the Crachit family in “A Christmas Carol”?

With the presentation of the Crachit family, Charles Dickens dispels the notion that poverty makes people worthless and demeaned. He presents a sentimental depiction of a family, portraying their…

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ROMEO AND JULIET

What’s the significance and literary device for this specific quote from Romeo and Juliet? How…

On the way to Capulet’s party in Act I, Scene 4, Romeo tells Mercutio that he has had a dream, but before he can speak about it, Mercutio launches into his monologue about Queen Mab. Only at the…

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THE POSSIBILITY OF EVIL

What does Miss Strangeworth secretly do in The Possibility of Evil?

Miss Strangeworth has a dark secret. For the past year she has been writing anonymous letters to people in her town hinting that something bad may be happening in their lives which they are not…

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SCIENCE

Is the amino acid MBA destroyed by heat?

Amino acids are one of the fundamental building blocks of biochemistry. They are the component compounds of all proteins found in nature. Amino acids consist of a central carbon atom attached to…

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BUSINESS

Who is or are the actual policy maker(s) of organizations?

The actual policy maker(s) of organizations, indirectly, are the individuals and groups it seeks to serve. Any policies have to made with these end users in mind. If not, these policies will be…

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MACBETH

If macbeth were a modern man, who would he be? What do these men have in common with each other?

A good modern parallel to Macbeth might be presidential candidate Ted Cruz. What both men have in common is boundless ambition, a willingness to do almost anything to get to the top. Now, Cruz is…

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CRIME AND PUNISHMENT

What quotes from Crime and Punishment support the recurring motif of bridges and crossroads?

You’ve chosen a very interesting motif, and you’re right, there are many examples throughout the novel of this motif. In fact, we have a bridge appear in the very first sentence of the novel: “On…

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HISTORY

Which cities were major starting and ending points for wagon trains traveling westward? What…

The Oregon and California Trails started from Independence and St. Joseph, Missouri. Council Bluffs, Iowa was a later jumping off point. For the Mormon Trail that was going to Salt Lake City,…

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ROMEO AND JULIET

In Romeo and Juliet, what does Juliet mean when she says “That which we call a rose / By any…

As she stands on her balcony in Act 2, Scene 2, Juliet is trying to reconcile in her mind the fact that the man that she has just experienced love at first sight with is none other than a Montague,…

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THE BOY IN THE STRIPED PAJAMAS

How does the author sympathize Shmuel and Bruno in “Boy in the Striped Pajamas”?

John Boyne creates sympathy for the characters Shmuel and Bruno throughout the novel by placing them in challenging situations and surrounding them with difficult people. Boyne chose to depict…

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SCIENCE

In an earthquake, the point where the first movement of rock occurs and energy is released is the…

This statement is false. The point where the first movement of rocks occur and energy is released is known as the focus. This point is also known as the hypocenter. It is at this location that the…

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SONG OF MYSELF

What paradoxes does Walt Whitman list in section 16 of “Song of Myself”?

In Part 16 of “Song of Myself,” Walt Whitman lists a number of paradoxes. All of them can be used to illuminate Whitman’s thematic concerns, which are part and parcel of Whitman’s…

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THE DEAD

I need to write about how Irish culture is presented in the short story, “The Dead” for an essay…

Irish culture permeates the Christmas gathering at the Morkan house in “The Dead.” Many typical Irish types (or stereotypes) attend the party. One is Molly Ivors, an Irish nationalist. The main…

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MATH

What is t to the negative 4th power

Hello! By definition, the negative power of something is the inverse of the positive power with the same magnitude: t−n=1tn.t-n=1tn. This definition is essential because it preserves the properties…

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HISTORY

What did the Union states believe?

The Union or northern states had several beliefs during the Civil War. The North believed that the power of the federal government was supreme. They felt it was illegal for states to reject laws…