# Determine the function f(x)=(x^3-6x^2+m)/(x-2) if the graph of f is tangent to x axis.

**MATH**

**Determine the function f(x)=(x^3-6x^2+m)/(x-2) if the graph of f is tangent to x axis.**

If the curve that represents the graph of f(x) is tangent to x axis, then the first derivative of numerator is 0. We’ll note the numerator as g(x) = x^3-6x^2+m. We’ll impose the constraint of…

**MATH**

**(2square root2-square root7)^x+(2square root2+square root 7)^x=<4square root2**

We notice that 2sqrt2 + sqrt7 = 1/(2sqrt2 – sqrt7). We’ll raise to x power both sides: (2sqrt2 + sqrt7)^x = 1/(2sqrt2 – sqrt7)^x We’ll note (2sqrt2 + sqrt7)^x = a. We’ll re-write the inequality in…

**TO KILL A MOCKINGBIRD**

**What were the expectations of children during the 1930s?I am trying to tie the act of children…**

Most children were expected to go to school–unless they were farmers, and sometimes they were needed by their fathers in the fields. So many farmers lost their land (750,000) during the…

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**MATH**

**Factorize the polynomial f=x^3+4x^2-7x-10**

We have to factorize f=x^3 + 4x^2 – 7x – 10 f=x^3 + 4x^2 – 7x – 10 => x^3 + 6x^2 – 2x^2 + 5x – 12x – 10 => x^3 + 6x^2 + 5x – 2x^2 – 12x – 10 => x(x^2 + 6x +5) – 2(x^2 + 6x + 5) => (x -…

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**MATH**

**What is x if log2 (x^2+x+1)=logsquare root2 (x+1)?**

We have to solve log (2) (x^2+x+1) = log (sqrt 2)(x+1) If y = log (2) (x^2+x+1) = log (sqrt 2)(x+1) => 2^y = x^2 + x + 1 and (sqrt 2)^y = x + 1 taking the square of both the sides of (sqrt 2)^y…

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**MATH**

**What is x if E(x)=(x^2-4)/(x^2+2x-35) is positive?**

We are given that E(x)=(x^2-4)/(x^2+2x-35) is positive. E(x)=(x^2-4)/(x^2+2x-35) => (x – 2)(x +2)/ (x^2 + 7x – 5x – 35) => (x – 2)(x +2)/ (x(x + 7) – 5(x + 7)) => (x – 2)(x +2)/ (x – 5)(x…

**MATH**

**Determine a if the lines (a-3)*x + 2y-7=0 and x+(a+1)*y+2=0 are parallel.**

Two parallel lines have the same slope. So we have to find the slope of (a-3)*x + 2y-7=0 and x+(a+1)*y+2=0 (a-3)*x + 2y-7=0 => 2y = -(a – 3)x + 7 => y = -(a – 3)/2* x + 7/2 The slope is (3 -…

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**GOTHIC LITERATURE**

**Why do Gothic writers use madness/insanity as a topic?**

Gothic writers have often appealed to topics such as insanity and madness as part of the stylistic licenses that are natural to the genre. Gothic literature is a darker branch of Romanticism that…

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**MATH**

**What are the solutions of equation : square root (5x-4)+square root(11x+4)=4square rootx?**

We have to solve sqrt (5x-4) + sqrt(11x+4) = 4*sqrt x sqrt (5x-4) + sqrt(11x+4) = 4*sqrt x square both the sides => (5x – 4) + (11x + 4) + 2*sqrt (5x-4)*sqrt(11x+4) = 16x => 16x + 2*sqrt…

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**THE ADVENTURES OF TOM SAWYER**

**Who is the “Model Boy” in The Adventures of Tom Sawyer (chapter 5)?**

On chapter 5 of The Adventures of Tom Sawyer “Model Boy” is identified as Willie Mufferson. The reason why he is referred to as Model Boy as if those were his name and last name respectively (which…

1 educator answer

**HISTORY**

**How was sharecropping a cycle of debt?**

These systems came to put farmers in a cycle of debt largely because they were obligated to borrow from and sell to one person. That person, especially if he were unscrupulous, could ensure that…

2 educator answers

**MATH**

**If f(x)=log(15-x) (x+5) solve the equation f(x)=2 15-x is the base of log.**

We have the log to the base (15 – x) f(x) = log(15-x) (x+5) = 2 => (x + 5) = (15 – x)^2 => x + 5 = 225 + x^2 – 30x => x^2 – 31x + 220 = 0 => x^2 – 20 x – 11x + 220 =0 => x( x – 20) -…

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**MATH**

**Calculate f'(x) if 0<x<infinite , f(x)=(x+1)^-1 – ln(x+1)/(x+2).**

We have to find f'(x). f(x) is given as (x+1)^-1 – ln(x+1)/(x+2). [(x+1)^-1 – ln(x+1)/(x+2)]’ we can write ln (x +1)/(x +2) = ln (x+1) – ln(x+2) => [(x+1)^-1 – ln (x+1) + ln(x+2)]’ =>…

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**MATH**

**Solve for x (4*16)^x+(4*2)^x=79.**

To solve for x: (4*16)^x+(4*2)^x=79. Solution: Given equation is rewritten as: 64^x +8^x = 79. Let 64^x = (8^x)^2 = t^2, where t = 8^x. Therefore the equation becomes: t^2+t – 79 = 0 t^2 +t -79 =…

**MATH**

**What is the slope of the line 6x+3y-15=0 ?**

The line ax + by + c = 0 can be written as y = mx + c, where m is the slope of the line and c is the y-intercept. 6x + 3y – 15 = 0 => 3y = -6x + 15 => y = -2x + 5 Therefore the slope is -2.

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**MATH**

**What is the equation of ellipse if the major axis is 10 and the distance between focci is 2c=8?**

The equation of the ellipse with major axis 2a and minor axis b i given by: x^2/a^2+y^2/b^2 = 1. Given major axis = 10.Therefore 2 a= 10 , or a = 10/2 = 5. The distance between the focii 2c =…

**LITERATURE**

**What are at least 3 ways an author develops a character?**

Authors use methods of direct and indirect characterization to develop the characters in their texts. Methods of direct characterization are described as moments when the narrator (through the…

2 educator answers

**HISTORY**

**What form of government or political structure was prevalent in America prior to the American…**

Before the American Revolution, American colonies were run by something of a constitutional monarchy. They were ultimately ruled by England which was, of course, a constitutional monarchy and…

1 educator answer

**ROMEO AND JULIET**

**In Romeo and Juliet, does Friar Lawrence believe in Fate?The Friar believe that God has…**

As a Roman Catholic priest, Friar Laurence believes in both Providence, the hand of God, and free will. Since the concept of Fate as a determining factor in a person’s life, as exists with…

1 educator answer

**ROMEO AND JULIET**

**Are there quotes from Juliet (Romeo and Juliet) that suggest she believes in Fate?i’m trying to…**

The most famous quote that fits your interest in Juliet and whether she believes in Fate comes in Act III, scene v. Juliet is bidding farewell to Romeo after their wedding night as he leaves for…

1 educator answer

**SCIENCE**

**Acetic acid,methane,chloroform are examples of which type of compounds & why ??Is it…**

All three are strictly speaking organic straight chain compounds. Branched chain compounds are those which have a main chain of carbon atoms with an alkyl group attached to at least the second…

1 educator answer

**TWILIGHT**

**what are some similaities and differences between twilight by stephanie myers and beowolf…**

The Heroes: Twilight’s epic hero is “Edward” he is extremely handsome “like goddesses” he has supernatural powers, (fast, strong) Twilight’s epic hero is Beowulf who is extremely handsome…

**FRISBY AND THE RATS OF NIMH**

**In Mrs. Frisby and the Rats of NIMH, whom does Mrs. Frisby meet on her way home in Chapter 2?…**

It is actually in Chapter 3 of Mrs. Frisby and the Rats of NIMH that Mrs. Frisby sets off for home and meets someone. The character she meets is a very young crow who is in a predicament – he is…

1 educator answer

**CAT IN THE RAIN**

**What is the theme of Hemingway’s short story “Cat in the Rain”?**

The theme of Hemingway’s short story “Cat in the Rain” is isolation, public and personal isolation. George and his unnamed “American wide,” also called “American girl” by the narrator, come to…

1 educator answer

**TEACHERS**

**What made you decide to become a teacher?Recently, I have been asked “what I want to be when I…**

This question will probably be moved to the discussion group for teachers; certainly, it will serve you better there. For many teachers, the reason that they have entered the profession lies in…

18 educator answers

**MATH**

**a circular cylinder is inscribed in a circular cone of a radius r and height h. what relation…**

Let h and r be the height and radius of the cone.of the cone, and x be the semivertical angle of the cone. Let be the a be the radius of the cylinder and h1 be the height of the cylinder. Then…

**THE STRANGER**

**What themes are present through out The Stranger?**

One of the major themes of the story is absurdit. Camus builds this idea up with the idea that as a person grows wearily accustomed to a mind-numbing routine, that one day they may actually begin…

1 educator answer

**HISTORY**

**Is nationalism a stabilizing or destabilizing force?Is nationalism a stabilizing or destabilizing…**

Nationalism can be both a stabilizing or a destabilizing force, depending on the circumstances in which it arises and the degree to which it exists. A mild version of nationalism, especially in a…

4 educator answers

**HISTORY**

**How did poverty policy come about?**

Poverty policy in the United States has come about mainly as the result of initiatives put forth by two presidents in the 20th century. The two presidents who created the basics of the modern…

1 educator answer

**MIDNIGHT’S CHILDREN**

**Comment on the language of Midnight’s Children.**

I think that some of the distinctive language featured in Rushdie’s novel can center on how Saleem tells the story. His method of narration is unique because the language and context told to us is…

1 educator answer

**KATE CHOPIN**

**Share your ideas about the main characters in Kate Chopin’s “Ripe Figs.”**

Unfortunately I had to edit your question to focus on just one question. You are not allowed to ask multiple questions. You have picked a rather intriguing story to focus on. I think “Ripe Figs” is…

1 educator answer

**DEATH OF A SALESMAN**

**How significant is the character of the woman in Arthur Miller’s Death of a Salesman?The woman…**

The character of the woman in the hotel room with Willy Loman is not developed in the drama. She functions as a minor character, but her very presence is of vital importance. Biff’s finding Willy…

2 educator answers

**MUCH ADO ABOUT NOTHING**

**What happens in Act Three of Much Ado About Nothing?**

I notice that you had associated your question with Ted Hughes’ Shakespeare and the Goddess of Complete Being. However, you’ll need to make this link more specifically obvious in your question,…

1 educator answer

**GUIDE TO LITERARY TERMS**

**which literary devices are employed to make ‘defamiliarization’?**

In order to understand the literary devices used to create the effect of “defamiliarization” some scholars use the term of foregrounding. It refers to the variety of figurative devices at the…

**SOCIAL SCIENCES**

**What do you believe is the main contributor to crime rates in the United States? What do you…**

There are many causes of crime in the United States, but I would argue that the main cause of crime (the one that causes more crime than any other) is poverty. I am not arguing that poor people can…

2 educator answers

**THE CANTERBURY TALES**

**What is the theme in “The Wife of Bath” in The Canterbury Tales?Can anyone tell me what’s the…**

In the Wife of Bath’s tale a young man must set out on a journey in order to find out what women truly want. After his travels, he comes to the conclusion that: A woman wants the self-same…

1 educator answer

**MACBETH**

**What are the actions of love in Macbeth?I need to compare the type of love between Macbeth and…**

Provided that your definition of “love” is a little broad and not aimed specifically at romantic love, then there are several cases when the characters show loving feelings towards each other….

1 educator answer

**TEACHERS**

**Any idea about difference between making one day lesson plan and making 5 day lesson plan.Any…**

In my classroom, the main difference between one day plans and the longer ones for five days or longer are the size of the projects involved and the goals for the lessons. In just one day,…

10 educator answers

**THE WAY OF THE WORLD**

**what things in the way of the world we can enjoy without studying the age in which the play was…**

qus akhtaq

**THE FALL OF THE HOUSE OF USHER**

**How does both irony and symbolism support the theme of The Fall of the House of Usher?**

Excellent question. Of course, when we think of the theme of any given work of literature there are an entire range of answers that can be given. However, certainly when we consider this excellent…

1 educator answer

**PHYSICS**

**Light is incident on plastic at an angle of 72.7 degree and the angle of refraction is 57.1…**

Here, we have light moving from vacuum into transparent plastic. The angle of incidence is 72.7 degrees and the angle of refraction is 57.1 degrees. As the refractive indexes of vacuum and plastic…

1 educator answer

**BUSINESS**

**Please discuss this with real life example if possible How can country move from producing inside…**

A country is producing inside the PPF when it is not producing as much in the way of goods and services as it could given the resources it currently has. This typically happens when a country is…

1 educator answer

**ECONOMICS**

**How can the PPF be moved in one direction or another?**

A production possibility frontier (or production possibility curve) is a measure of a country’s economic potential. So what this question is really asking is “how can a country’s economic…

1 educator answer

**SOCIAL SCIENCES**

**Predicting state of the U.S. family?Can you look ahead 50 years and predict the State of the U.S….**

This is, of course, very hard to predict, given that no one 50 years ago would likely have been able to predict the state of the family in the US today. However, based on current trends, the…

8 educator answers

**BUSINESS**

**What are possible essay questions that can be asked about Monopolies (apart from the good and bad…**

If you do not want to discuss the pros and cons of monopolies, you are pretty much left with talking about why monopolies come about. The best essay question I can think of then would be “What…

1 educator answer

**TRIGONOMETRY1**

**Given cos (x+y)-1=0, verify if sin(2x+y)-sinx=0?**

We’ll start by expanding the cosine of the sum: cos (x+y) = cos x*cos y – sin x*sin y From enunciation, we know that: cos x*cos y – sin x*sin y – 1 = 0 We’ll add sin x*sin y + 1 both sides: cos…

**TRIGONOMETRY1**

**Determine all the angles a if 2-cos a=2sina?**

We’ll recognize a linear equation and we’ll solve it using the substitution technique. We’ll write sin a and cos a with respect to tangent of the half-angle. sin a = 2 tan(a/2)/[1+(tan a/2)^2] cos…

**MATH**

**Differentiate y = (3-square root x)+ln(3-square root x)^2**

To differentiate y = (3-square root x)+ln(3-square root x)^2. Solution: dy/dx = d/dx {3-sqrtx)+d/dx{ln(3-sqrtx)^2}….(1). d/dx(3-sqrtx) = d/dx(-sqrtx) = -1/(2sqrt x)….(2) d/dx ln{3-sqrtx)^2 =…

**MATH**

**Evaluate the antiderivative of s(t)=1/(t^2+4t+4)?**

To find the anti derivative of s(t)=1/(t^2+4t+4). Solution: s(t) = 1/(t^2+4t+4). => s(t) = 1/(t+2)^2. Therefore Int s(t) dt = Int {1/(t+2)^2} dt +C= Int (t+2)^(-2) dt +C= {(t+2)^(-2+1)}/(-2+1)…

**MATH**

**What are the solutions of the exponential 2*2025^x-(3*15)^x=1?**

To find the solution of 2*2-25^x-(3*15)^x = 1. We know that 2025 = (3*15)^2 = 45^2. So 2025^x= (3* 15)^2x = 45^2x. Therefore the given equation becomes: 2* 45^2x – (45)^x -1 = 0 1. 2t^2-t-1 = 0,…