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Calculus and Functions: Derivatives, Limits, and Continuity

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Derivades

1)-Taxa de variació mitjana TVM f(x)= f(b)-f(a) / b-a
f(x)= x2-5 en (1,4) f(1)= 12-5=-4 f(4)= 42-5=11
TVM= 11+4 / 4-1= 5


2)-Taxa de variació instantania TVI f(x)= limx=af(x)-f(a) / x-a
f(x)=3x2-3x en x=1 f(1)= 3·1-3·1=0
TVI=3x2-3x / x-1= limx=1 3x2-3x= limx=1 3x2-3x / x-1 = 0/0 indeter.
3x=3·1=3


3)-Equacio recta tangent f'(a)=limh=0 f (a+h)-f(a) / h y=f(a)+f'(a) ·(x-a)
f(x)=x2-5x+2 en x=1(a) f(1)=12-5·1+2= -2
f'(1)= limh=0 f (1+h) - f (-2)= limh=0 |(1+h)2-5· (1+h)+2| (-2) =
limh=0 |(12+h2+2·1·h) -5 -5h+2-2| / h = limh=0 1+h2+2h-5h-5 / h=
limh=0 h2+2h-5h-5+1 / h = limh=0 h2-3h / h = 0/0 indeter.
h (h-3) / h = h-3 y= -2-3(x-1) y=-2-3x+3 y=-3x+1


Limits

1) x2/ x= +8 x/x=1 numero / 8 =0
-si num es més
... Continue reading "Calculus and Functions: Derivatives, Limits, and Continuity" »

A Subjective Perspective on (EL TEMA)

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Introduction

First of all, in my opinion, (EL TEMA) is a (ADJECTIU PAC). I believe this because I think that it (CONSEQÜÈNCIA), as seen in statistics and media reports. This is my personal viewpoint, and I acknowledge that it may be subjective.

Further Arguments

Secondly, I also believe that (TEMA) is (ABJECTIU) because (subj.) (CONSEQÜÈNCIA). From my perspective, it is (ADJECTIU: good/bad), and I disagree with (EL CONTRARI DEL TEMA) because it has been demonstrated that (RAONS PER ESTAR EN DESACORD).

Agreement and Hope

Furthermore, as mentioned earlier, I think that (TEMA) is the most (ADJECTIU) because (MOTIU), and I completely agree with this. I wish that (TEMA) could (VERB INF.: give positive consequences, end, …).

Conclusion

Finally, it'... Continue reading "A Subjective Perspective on (EL TEMA)" »

Essential Business English Vocabulary & Terms

Classified in Training and Employment Advise

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Essential Business English Vocabulary

Enhance your understanding of key business terms with this comprehensive English-to-Spanish glossary.

  • Stock exchange: La bolsa
  • Shareholders: Accionistas
  • Assets / shares: Acciones de bolsa. Can be bought on the stock exchange.
  • Likely to: Tener la probabilidad de
  • Sole trader / Sole proprietor: Autónomo
  • Management: Gestión
  • To manage (v): Gestionar
  • Debts: Deudas
  • To set up / to settle / to start a business (v): Empezar, establecer un negocio
  • Profits / benefits: Beneficios
  • Losses: Pérdidas
  • To appoint (v): Nombrar a
  • Headquarters (pl) / main office: Sede central
  • Branches: Sucursales
  • Subsidiary: Sucursal, filial
  • To found a business (v): Fundar una empresa
  • Dotcoms: Online companies, haven't got a physical company.
  • Franchising /
... Continue reading "Essential Business English Vocabulary & Terms" »

Grammar, Reading, and Listening Activities for English Learners

Classified in English

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TEMA 6


1. Grammar

Will/ Won't (Predictions)
Complete the dialogues with will/won't and a verb from the box. Use contractions.
  1. A...B it's very dangerous. You'll fall
  2. B...B won't win
  3. A...B 'll forget
  4. B...B 'll miss
  5. A...B won't remember
  6. B...B won't sell

2. Reading

A) Read the horoscopes for this month. Answer the questions.
  1. Gemini
  2. Aries
  3. Aquarius
  4. Taurus

3. Listening

A) Listen to a conversation about horoscopes. What are Matt and Amy's star signs? Matt's star sign is Capricorn and Amy's star sign is Virgo.
B) 2M 3A 4A 5M 6M 7M

4. Grammar

Will/Won't (Promises, Offers, Decisions)
A) Write sentences using the pictures and prompts. Use 'shall I/ I'll/ I won't'.
  1. Call/you tomorrow --> I'll call you tomorrow
  2. Shall I lend you some money?
  3. I'll have the chicken
  4. Shall I take
... Continue reading "Grammar, Reading, and Listening Activities for English Learners" »

Is there juristification for any business to be excused and ethical responsibility

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Here......There, This......That, these.....Those, now.......Then, next week......The following Week, today.......That day, tonight.......That night, tomorrow.......The Following day, yesterday......The day before, last week.......The week before.


Vocabulary: PR involves building good relationships with all the stakeholders in an Organisation. The best PR strategies are based on effective relationship Marketing. In Asia there is a long tradition of this kind of approach to business, but it is important to develop transparency and integrity. This means Not only openness, but also accountability, which means taking responsibility For decisions. A further dimension to effective PR is a commitment to ethical Standards, which includes a continual... Continue reading "Is there juristification for any business to be excused and ethical responsibility" »

The Importance of PACs in Modern Politics

Classified in French

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Introduction

Political Action Committees (PACs) have become increasingly influential in modern politics. These organizations raise and spend money to support or oppose candidates for public office. While PACs have been around for decades, their role in elections has grown significantly in recent years.

The Role of PACs in Elections

PACs play a major role in funding political campaigns. They can contribute unlimited amounts of money to candidates, and they often spend millions of dollars on advertising and other campaign activities. This money can give PACs a significant advantage in elections, especially in close races.

PACs also play a role in shaping public opinion. They can use their resources to promote their preferred candidates and policies,... Continue reading "The Importance of PACs in Modern Politics" »

Business Meeting, Conference & Event Invitation Emails

Classified in English

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Arranging a Meeting (Organizar una reunión)

Dear Mr. Adams,

I'm writing to organize a time for the meeting next week.

I'd like to suggest holding the meeting in the small conference room in the Hilton Hotel, Madrid on Thursday morning at 11:30. Would that be convenient?

The meeting will be about a business matter I would like to discuss because I think it will interest you.

I look forward to meeting you next week.

Inviting Somebody to a Conference (Invitando a alguien a una conferencia)

Dear Mrs. Martin,

We are pleased to announce that you have been invited to the next Marketing Conference. This conference will be held on the 19th and 20th of June.

The conference will be held at CCIB (Barcelona International Convention Center), located in the city... Continue reading "Business Meeting, Conference & Event Invitation Emails" »

Approaching the Study and Analysis of the Moving Image: Aesthetics and Representation

Classified in English

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There are 2 Basic Ways to Approach the Study and Analysis and Understanding of the Moving Image:

Aesthetics:

1. The branch of philosophy that deals with the nature and expression of beauty, as in the fine arts

2. The study of the psychological responses to beauty and artistic experiences.

Representation:

1. An image, model, or other depiction of something of previous existence.

2. The state or condition of serving as an official delegate, agent, or spokesperson.

3.1. Objective vs. Subjective POV: ALL moving images are shot either from an objective (no known POV) or a subjective (one of the character’s) POV.

3.2 Highly Subjective Main Character:

High subjectivity affects what the character sees and therefore influences content and form:

  • Subjectivity
... Continue reading "Approaching the Study and Analysis of the Moving Image: Aesthetics and Representation" »

SMARTT SX Series Marketing Report and Strategies

Classified in Medicine & Health

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Company and Product Description

SMARTT is one of the leading companies in the mobile phone industry. Its most successful product is the SX series of smartphones, but sales of the competing MARVELL M2000 series exceed those of the SX.

Purpose and Method of This Report

The purpose of this report is to show the results of our latest marketing study and suggest strategies to improve our sales over our closest competitor, the MARVELL M2000 series. In order to collect data for this market research, we studied the sales figures for the SMARTT SX and SMP series, and we conducted a survey to learn what features of the MARVELL M2000 our clients and prospective clients preferred over the SX series.

Findings and Conclusions

This has been a successful year for... Continue reading "SMARTT SX Series Marketing Report and Strategies" »

Comprehensive English Vocabulary Reference

Classified in Philosophy and ethics

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Essential Vocabulary List

  • Ebb: To diminish.
  • Ecclesiastical: Having to do with the church.
  • Eclipse: To block the light of.
  • Ecosystem: A community of organisms.
  • Edict: An official decree.
  • Edifice: A big, imposing building.
  • Effectual: Effective.
  • Efficacy: Effectiveness.
  • Effigy: A likeness of a person.
  • Elation: A feeling of great joy.
  • Electorate: The voters.
  • Elegy: A mournful poem or music.
  • Elite: The best selected group.
  • Elocution: The art of public speaking.
  • Emaciate: To make extremely thin through starvation or illness.
  • Emanate: To come forth.
  • Emancipate: To liberate.
  • Embargo: A government suspending foreign trade.
  • Embellish: To adorn.
  • Embody: To personify.
  • Embroil: To involve in conflict.
  • Embryonic: Undeveloped.
  • Emissary: A messenger sent to represent another.
  • Empathy:
... Continue reading "Comprehensive English Vocabulary Reference" »