Day: February 20, 2021

EXERCISE

Brain Workshop – a Dual N-Back game




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FITNESS

TERRIO – TERRIO Locations






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EXERCISE

Verb to be ( am / is / are ), Present Simple, positive sentences and contractions

Created by: Nikita Kovalyov

Updated: May 2004



  the verb to be ( am , is , are ) - the Present Simple Tense  the verb to be ( am , is , are ) - the Present Simple Tense  the verb to be ( am , is , are ) - the Present Simple Tense

[ To be – Positive Sentences & Contractions ] [ To be – negative forms and contractions ]
[ The verb to be – yes / no questions ]
[ The verb to be – Information questions  ]

Full Forms of the verb to be

I am a student.
He is a teacher.
She is a journalist.
It is a book.
We are mechanics.
You are pilots.
They are policemen.

Contracted forms of the verb to be

I am a student.
He is a teacher.
She is a journalist.
It is a book.
We are mechanics.
You are pilots.
They are policemen.
 

 

Chose the correct form of the verb to be – am/is/are.

  1. It
    cold today.
  2. I
    at home now.
  3. They
    Korean.
  4. There
    a pen on the
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EXERCISE

Should and Shouldn’t. Positives, Negatives, and Questions. Modal Verbs. Grammar Reference and Practice Exercises

Created by: Nikita Kovalyov

Updated: April 2004


  Part 2

Should & Shouldn’t – When to Use; How to Use
Should & Shouldn’t – Positives; Negatives; and Questions

Should is a modal verb like can or must.

     Positives
     You should take it easy.
     She should go to bed early.
     We should go somewhere exciting for our holiday.

     Negatives
     You shouldn’t get angry.
     He shouldn’t work so much.
     I shouldn’t do it if I were you.

     Questions
     Should we tell her the truth?
     What should I do?
     Shouldn’t we try to finish it now?

Exercise. Click on the words in the correct order to make
positives, negatives and questions with should and shouldn’t.

Tip! If you have no idea what word should go next, you can
click on all the words one by one.

Tip! We do not use shouldn’t where there isn’t any obligation at all.
Instead we use don’t

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EXERCISE

The Mean-Value Theorem

The Mean-Value Theorem




The Mean-Value Theorem


The Mean Value Theorem is one of the most important
theoretical tools in Calculus. It states that if f(x) is
defined and continuous on the interval [a,b] and differentiable
on (a,b), then there is at least one number c in the interval
(a,b) (that is a < c < b) such that

begin{displaymath}f'(c) = frac{f(b) - f(a)}{b-a} cdotend{displaymath}



The special case, when

f(a) = f(b) is known as Rolle’s
Theorem
. In this case, we have f ‘(c) =0. In other words,
there exists a point in the interval (a,b) which has a
horizontal tangent. In fact, the Mean Value Theorem can be stated
also in terms of slopes. Indeed, the number

begin{displaymath}frac{f(b) - f(a)}{b-a} end{displaymath}



is the slope of the line passing through

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DENTAL

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FITNESS

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