Determine Differentiable and Find Stationary points and Local extrema

CONGRATULATIONS

0 Congratulations on winning of the tennis championship! You must be

00 very pleased, especially since the prize is quite a lot of money.

1 What are you going to spend it on? You could even buy a new car

2 with all that money! You should have be in great shape after all the

3 training you have been doing.  It must be so very hard work, practising

4 all those hours for every day, but it is worth it in the end, isn’t it?

5 Perhaps you are thinking of going on holiday so that you can have

6 a break from tennis and reỉax. Can you tell me exactly what is kind of

7 tennis racquet you chose for the competition? If I would get the same,

8 it might help me to improve my game. Anyway, congratulations on

9 your great victory! I’m still studying English every single day and the

10 course has three months to go.  I have moved house, as if you can see

11 from my new address. Make sure you reply back to the right address!

12 Your last letter went to my old address, but it wasn’t by your fault

13 because I hadn’t told anyone which I had moved then. Did you know that

14 I have had a job for the last three weeks? I work in a restaurant four

15 evenings a week. I like it, but I don’t arrive to home until one o’clock in the morning, which is a bit inconvenient.

A. well as Betty

B. as well as Betty

C. as good as Betty

D. better as Betty

On the provincial level, some women in Canada could vote beginning in 1916. Suffrage expanded to the federal level over the next few years: In 1917 nurses and women in the armed forces could vote, then women whose fathers, husbands, or sons were serving overseas. In 1918 legislation passed expanding suffrage to female citizens excluding Asian-Canadian women and First Nation women, who did not win the right to vote until the 1940s and 1960s, respectively.

Non-indigenous women in Australia got the right to vote beginning in 1895, when the state of South Australia passed colony- and state-wide suffrage, in addition to the right to stand for parliament. In 1899, state suffrage expanded to Western Australia. In 1902, non-indigenous women won the right to vote on the federal level with the passing of the Commonwealth Franchise Act. Indigenous Australians didn't get the federal right to vote until 1962.

Question 1. Almost all the women in Canada could vote beginning in 1916.

Question 2. In 1917 nurses and women in the armed forces could vote.

Question 3. Asian-Canadian women acquired suffrage in 1918.

Question 4. The state of South Australia passed colony- and state-wide suffrage in 1895.

Question 5. Indigenous Australians didn't get the federal right to vote until 1962.

1. After the boys had finished their supper, they went out to play

->Having...

2. Because Tom had not read the news, he could not knew everything
-> Not having...

3. Having been notified by the court, Ron reported for jury duty
-> After...

4. This is the U value which was obtained from the table areas under the normal curve
-> This is the U value...

Jim is the only person I know who went to university. (other)

-> I do ...  

Exercise 1: Choose the word or phrase that best completes the sentences.

1.We want …………… a party next month.

• have

• to have

C. having

D. to having

2. She bought a new dress …………. to the party.

A. for to wear

B. for wear

C. to wear

D. wearing

3. I like Saturdays because I …………… work.

A.mustn’t

B. don’t have to

C. haven’t to

D. have to

4. The golf ball ………………… the hill and into the river.

A. down

B. downed

C. went down

D. go down

5. She’s so pretty. She ………….. her mother.

A. looks

B. looks like

C. looks up

D. looks after

6.We ………… going to the beach

A. love

B. need

C. want

D. wish

7. He doesn’t ……………. driving

A. good

B. want

C. mind

D. need

8. Petra …………….. a lot of time watching

A. does

B. spends

C. has

D. uses

9. I hate ………………. for buses in rain.

A. waiting

B. hoping

C. sitting

D. running

10. Yesterday, I ……………… my aunt for the first time

A. knew

B. met

C. see

D. talk to

Exercise 3

Read the text below and choose the correct word for each space.

For each question, circle the correct letter A, B, C or D.

A WELSH FESTIVAL

Wales has a (0) population  of about three million. English is the main language and only 20 %speak both Welsh and English. Every year (1) ________ August there is a Welsh speaking festival. It (2)________ place in a different town each year so everyone has the chance for it to be near them. Local people (3) ________year making plans for when the festival will be in (4)__________ town. Each festival is (5) __________ by about 160,000 people. They travel not only from nearby towns and villages (6) ________ also from the rest of British Isles and (7) ___________ from abroad. There are concerts, plays and (8) ________ to find the best singers, poets, writers, and so on. Shops sell Welsh music, books, pictures and clothes as (9) ________food and drink. The festival provides a chance for Welsh-speaking people to be together for a whole week, with (10) _________Welsh language around them.

0.  A. population

B. people

C. public

D. country

1.  A. on

B. by

C. in

D. at

2.  A. takes

B. finds

C. has

D. makes

3.  A. pass

B. put

C. spend

D. do

4.  A. our

B. their

C. his

D. its

5.  A. arrived

B. attended

C. joined

D. come

6.  A. but

B. and

C. since

D. however

7.  A. just

B. hardly

C. quite

D. even

8.  A. tests

B. examinations

C. competitions

D. races

9.  A. long

B. far

C. good

D. well

10.  A. one

B. a

C. the

D. some 

Choose A, B, C, or D to indicate the correct answer to each of the following questions: I have earned my own living _______ . 

A. since I was seven                                                                                   

B. when I was seven                                     

C. while I was seven                                                                                   

D. as soon as I was seven

Choose A, B, C, or D to indicate the sentence that best completes each of the following exchanges: David is talking to Linda after a party.

- David: “Would you like me to give you a ride home?”

- Linda: “_____________” 

A. That’s great, thanks.                                                                     

B. Sorry, you’re not my type.

C. Yes, I’m riding home now.                                                                     

D. No, thanks. I don’t like riding.

The first phone was powered/powered by batteries that weighed 1kg.