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Examen de admitere · Matematică, Informatică și Fizică · 2013

Programe de studii universitare de licență · Academia Forțelor Aeriene „Henri Coandă”

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Subiect · pagina 1

1 din 7
LUCRARE SCRISĂ LA LIMBA STRĂINĂ – ENGLEZĂ
A. Partea I: CITIT
(Citirea cu atenţie)
Choose the correct answer a, b, c, or d.
Ford Motor Company is an American automaker and the world’s third largest automaker based on
worldwide vehicle sales. Based in Dearborn, Michigan, a suburb of Detroit, the automaker was
founded by Henry Ford, and incorporated on June 16, 1903. Ford Motor Company would go on to
become one of the largest and most profitable companies in the world, as well as being one of the few
to survive the Great Depression.
The largest family-controlled company in the world, the Ford Motor Company has been in
continuous family control for over 110 years. Ford now encompasses two brands: Ford and Lincoln.
Ford once owned 5 other luxury brands, they were Volvo, Land Rover, Jaguar, Aston Martin and
Mercury. But over time those brands were sold to other companies and Mercury was discontinued.
1. According to the passage …
a Ford founder lives in Michigan.
b Ford producer is the third in global vehicle trader.
c Henry Ford lives in a suburb of Detroit.
d Few automakers continued to exist after The Great Depression.
2. We learn from the text that Ford company is …
a the largest worldwide family business for more than 110 years.
b in business for less than 110 years.
c the trademark of 5 other deluxe brands.
d in control of seven brands.
Although Finland did not achieve full national independence until 1917, its current military
traditions go back more than 300 years. As an integrated part of the kingdom of Sweden, Finland
supplied the Swedish armies not only with foot soldiers, but also with highly qualified officers.
Contributing as much as one-third of the manpower of the Swedish armed forces, the Finnish infantry
and cavalry distinguished themselves at a time when Sweden was playing a decisive role in European
power politics.
The performance of the Finns on various battlefields had justified their reputation for bravery and
their confidence in their own martial abilities. With the decline of Swedish power in the eighteenth
century, the Finns were requested to defend the country’s borders to the east against their enemy,
Russia. On three major occasions, Russian armies occupied parts of the country for a number of years
before eventually being driven out by Finnish and Swedish forces.
3. The passage informs us that…
a Finland current military independence goes back more than 300 years.
b Finland became independent before 1917.
c Finnish military traditions are more than 300 years old.
d Finnish national traditions were not achieved earlier than 1917.
4. According to the text, Finland supported Sweden…
a with personnel and forces.
b to integrate in Europe.
c to achieve full national independence.
d with soldiers and officers.

Subiect · pagina 2

2 din 7
5. The Finns were known …
a to have declined the Swedish power.
b to have defended Russia.
c for courage and trust in their own military skills.
d for their doubt and lack of determination.
(Citirea selectivă)
The Glock pistol is a series of semi-automatic pistols designed and produced by Glock Ges.m.b.H.
located in Deutch – Wagram, Austria. The company’s founder, engineer Gaston Glock, had no
experience with firearm design or manufacture at the time their first pistol, the Glock 17, was being
prototyped. In 1980, the Austrian military announced that it would seek a new, modern duty pistol to
replace their Walther P38 handguns. It was adopted into service with the Austrian military and police
forces in 1982 as the P80.
The Glock 17 outperformed 8 different pistols from five other established manufacturers. In late
1983, the United States Department of Defense inquired about the Glock pistol and received four
samples of the Glock 17 for unofficial evaluation. Glock was then invited to participate in Personal
Defense Pistol Trials, but declined. Shortly thereafter, the Glock 17 was accepted into service with the
Norwegian and Swedish Armed Forces, surpassing all NATO durability standards. Thus, it became a
standard NATO-classified sidearm.
6. Glock 17 is…
a a prototype weapon.
b a semi-automatic firearm.
c an inoffensive pistol.
d a sample handgun.
7. The Walther P38 guns were replaced …
a with prototype guns.
b in 1980.
c in 1983.
d with P80 guns.
8. Glock 17 was assessed by U.S. Department of Defense …
a by the end of 1983.
b later than 1983.
c to please manufacturers.
d to improve NATO standards.
The history of the tank began in World War I, when armoured all-terrain fighting vehicles were
first deployed as a response to the problems of trench warfare. During World War I a first offensive
using Mark I tanks took place on 15 September 1916, in the Battle of the Somme. Out of many more
committed, only 32 were mechanically fit to take part in the advance and achieved some small, local
successes. In July 1917, 216 British tanks were employed in the Third Battle of Ypres but found it
almost impossible to operate in the muddy conditions. Not until 20 November 1917, at Cambrai, did
the British Tank Corps get the conditions needed for success. Over 400 tanks penetrated almost six
miles on a 7-mile front. The infantry failed to exploit and secure the tanks’ gains and the territory
gained was recaptured by the Germans. The British scored a more significant victory on 8 August
1918, with 600 tanks in the Battle of Amiens.
9. The first tank attack dates back to …
a 1916.
b 1917.
c 20 November 1917.
d July 1917.

Subiect · pagina 3

3 din 7
10. A number of …tanks were employed in the Battle of Somme.
a 600
b 216
c 32
d 400
11. The British Tank Corps gained their first success in …
a the Battle of Ypres.
b the Battle of Amiens.
c the Battle of Somme.
d the Battle of Cambrai.
12. Due to infantry mistakes, the enemy …the gained territory.
a secured
b recaptured
c used
d attacked
Victoria’s Secret is the largest American retailer of lingerie founded by Roy Raymond and his
wife Gaye in San Francisco on June 12, 1977. The company sells lingerie, woman’s wear and
beauty products through its 1,000 U.S. stores, catalogues (annually mailing out 372 million) and
website. Raymond studied the lingerie market for eight years before borrowing $40,000 from his
parents and $40,000 from a bank to establish Victoria’s Secret: a store man could feel comfortable
buying lingerie.
The company’s first store was located in Stanford Shopping Center in Palo Alto, California.
Prior to founding Victoria’s Secret, Raymond had been embarrassed when purchasing lingerie for
his wife at a department store. During the 1970s and 1980s most women in America purchased
“pragmatic”, “foundation garments” by Fruit of the Loom, Hanes and Jockey in packs of three
from department stores and saved “fancier items” for “special occasions” like honeymoons. “Lacy
thongs and padded push-ups bras” were niche products during this period.
13. Victoria’s Secret represents…
a the largest American lingerie seller.
b the biggest American foundation.
c the greatest American company.
d an American lingerie collection.
14. The company sells its products by means of …
a door-to-door.
b banks.
c stores, catalogues and websites.
d lingerie market.
15. When buying lingerie for his wife, Raymond felt…
a pragmatic.
b shy.
c fancier.
d special.

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4 din 7
Partea a II-a: ELEMENTE DE GRAMATICĂ ŞI VOCABULAR
(Gramatică)
Choose the correct answer a, b, c, or d.
16. The receptionist at the front desk gave me two … .
a lots of information.
b informations.
c information.
d pieces of information.
17. I caught the wrong train by...
a defect.
b mistake.
c weakness.
d lack.
18. The chocolate looks...than the candy.
a worse.
b worser.
c bad.
d badder.
19. I recall that when Jane was young she…play tennis very well.
a can
b must
c could
d shall
20. You shouldn’t drive so fast. It’s too…
a unfamiliar
b lucky
c friendly
d risky
21. The market stalls sell a range of vegetables…they’re not always as fresh as they should be.
a while
b because
c even though
d in case
22. I know someone who wrote a book about…life of Ghandi.
a an
b the
c a
d one
23. If I…her phone number, I would call her.
a would have known
b had known
c would know
d knew

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5 din 7
24. I knew that she…Madrid before, so I asked her to recommend a good hotel.
a had visited
b has been visiting
c visited
d has visited
25. The bus…late, she had to wait patiently.
a having
b was
c being
d has been
(Vocabular)
26. People always tend to…a fortune when they go on holiday.
a make
b spend
c get
d seek
27. I am…of my behaviour last night and I am writing to apologize.
a ill
b serious
c reasonable
d ashamed
28. I am just not very good...singing.
a at
b in
c by
d on
29. I always start to feel nervous when I…the bus.
a get by
b get off
c get on with
d get over
30. Did you remember to set the…just before you left home? I’m worried by the amount of crime
in the area.
a burglar alarm
b alarm clock
c alert player
d watch
31. Julietta wants to relocate to the centre of the town because it’s unexciting living…
a out the skirts
b on the skirts
c on the outskirts
d in outskirts
32. You need to be a... . The course is very demanding.
a slow learner
b fast learner
c fastest learner
d slowest learner

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6 din 7
33. That film has a fantastic…I just loved the music!
a subject
b plot
c performance
d soundtrack
34. Don’t take what he said so seriously. He was only…
a enjoying
b joking
c amusing
d boring
35. I’m going to spend a few days with some…of mine, who live abroad.
a relatives
b ancestors
c families
d companies
B. Partea a III-a: SCRIS
36. Choose the most appropriate answer to formulate an informal request:
a Betty, would you help me with this grammar exercise, please?
b Betty, wouldn’t you help me with this grammar exercise, please?
c Betty, can you help me with this grammar exercise, please?
d Betty, do you mind helping me with this grammar exercise, please?
37. Which is the most appropriate sentence to make a complaint?
a I ‘m afraid but this child is too noisy!
b This child is too noisy!
c I’m so sad that this child is so noisy!
d I’m afraid I’ve got a complaint about your child. He’s too noisy!
38. Choose the most appropriate line to begin a formal letter:
a Dear Sir/Madam,
b Mrs. Johnson,
c Madame,
d Dear lady,
39. Choose the most appropriate line to make an informal invitation:
a Would you care to join me for a party tonight?
b Would you like to join me to the party tonight?
c Let’s go to the party tonight!
d There’s a party tonight, would you be so kind to join me?
40. Choose the most appropriate line to accept a formal invitation:
a Thank you! Can’t wait to see you!
b Thanks for the invitation! I`ll be there!
c Thanks for the invitation. I`m so upset I cannot come, but I’ve already made plans.
d Thank you for inviting me! It will be my pleasure to attend.

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7 din 7
41. Which is the most logical statement?
a She had take her brother along with her.
b She had to take her brother along with her.
c She is having to take her brother along with her.
d She isn’t having to take her brother with her.
42. Which is the correct address?
a 5024, Broadway Ave., WEST BEACH, AUSTRALIA
b 5024, Broadway Ave., AUSTRALIA, WEST BEACH
c Broadway Ave., WEST BEACH, AUSTRALIA, 5024
d 5024, WEST BEACH, Broadway Ave., AUSTRALIA
43. Which is the correct narration?
a It was Tuesday evening and I was getting ready to go to bed when the telephone was ringing.
b It was Tuesday evening and I had got ready to go to bed when the telephone rang.
c It had been Tuesday evening and I was getting ready to go to bed when the telephone rang.
d It was Tuesday evening and I was getting ready to go to bed when the telephone rang.
44. Which is the correct sentence?
a Neither my mother or my father will be able to attend the party on Sunday.
b Neither my mother nor my father will be able to attend the party on Sunday.
c Neither my mother but not my father will be able to attend the party on Sunday.
d Neither my mother and my father will be able to attend the party on Sunday.
45. Which is the most logical sentence?
a They will have asked the president saying something about the critical situation.
b They will ask the president says something about the critical situation.
c They will ask the president to say something about the critical situation.
d They will ask the president to have said something about the critical situation.

Subiect · pagina 8

1 din 1
BAREM DE EVALUARE ŞI APRECIERE A
TESTULUI GRILĂ LA ENGLEZĂ
VARIANTA I
1 b 16 d 31 c
2 a 17 b 32 b
3 c 18 a 33 d
4 d 19 c 34 b
5 c 20 d 35 a
6 b 21 c 36 c
7 d 22 b 37 d
8 a 23 d 38 a
9 a 24 a 39 c
10 c 25 c 40 d
11 d 26 b 41 b
12 b 27 d 42 a
13 a 28 a 43 d
14 c 29 b 44 b
15 b 30 a 45 c

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1 din 3
LUCRARE SCRISĂ LA PSIHOLOGIE
VARIANTA I
Notă. Cele 30 de întrebări tip grilă pot avea unul, mai multe sau toate răspunsurile corecte.
1. Identificaţi procesele cognitive senzoriale:
a. senzaţia;
b. atenţia;
c. percepţia;
d. reprezentarea.
2. Stimularea receptorilor din piele declanşează:
a. senzaţii organice;
b. senzaţii tactile;
c. senzaţii chinestezice.
3. Spiritul de observaţie reprezintă:
a. o metodă de investigare;
b. o atitudine;
c. o aptitudine.
4. Care este contrastul senzorial cel mai uşor de identificat?
a. negru pe galben;
b. roşu pe portocaliu;
c. verde pe albastru.
5. Zgomotul produs de decolarea unui avion determină:
a. apariţia senzaţiilor olfactive;
b. diminuarea sensibilităţii bastonaşelor cu 20%;
c. creşterea sensibilităţii bastonaşelor peste valoarea mediei.
6. Orice proces perceptiv presupune:
a. interpretare;
b. detecţie;
c. discriminare;
d. identificare.
7. Reprezentarea unui motor cu ardere internă redă structura lui datorită:
a. imaginii panoramice dată de reprezentare;
b. senzaţiilor redate de reprezentare.
8. Teoria stadială a dezvoltării inteligenţei a fost elaborată de:
a. H.Gardner;
b. A.Maslow;
c. J. Piaget.
9. După durata păstrării, memoria este:
a. senzorială;
b. de scurtă durată;
c. de lungă durată.
10. Ca proprietate a tuturor sistemelor biologice vii, memoria este un proces de:
a. întipărire;
b. stocare;
c. manipulare;
d. reactualizare.
11. Coloana infinitului şi Masa tăcerii, creaţiile celebre ale lui C. Brâncuşi, ilustrează unul
dintre procedeele combinărilor imaginative:
a. omisiunea;
b. multiplicarea.
12. Brainstorming-ul este o:
a. tehnică de creativitate colectivă;
b. metodă de anihilare a ideilor noi;
c. furtună de idei.

Subiect · pagina 10

Neclasificat
2 din 3
13. Forma cea mai evoluată a limbajului este:
a. limbajul intern;
b. limbajul scris;
c. limbajul oral.
14. Notele definitorii ale atenţiei sunt:
a. orientarea;
b. selectivitatea;
c. concentrarea.
15. Demnitatea face parte din categoria sentimentelor:
a. intelectuale;
b. estetice;
c. psihosociale.
16. Care dintre următorii termeni desemnează exclusiv natura umană:
a. individualitate;
b. persoană;
c. individ;
d. personalitate.
17. Trebuinţa apare atunci când:
a. persoana ştie ce vrea;
b. se produce un dezechilibru ce se cere imperios refăcut.
18. Ce fel de motivaţie este în plăcerea de a ne plimba, de a citi o carte care ne interesează?
a. motivaţie extrinsecă;
b. motivaţie intrinsecă.
19. Activitatea voluntară se caracterizează prin:
a. depăşirea obstacolelor;
b. autoreglarea vieţii psihice.
20. Voinţa, ca formă de autoreglare a conduitei, este:
a. conştientă;
b. inconştientă.
21. Portretul psiho–moral al individului este reflectat de:
a. temperament;
b. caracter;
c. aptitudini.
22. Faptul că relaţiile interpersonale pot fi evaluate moral reflectă caracterul lor:
a. etic;
b. formativ;
c. direct.
23. Prezentarea de argumente pro şi contra într-o dezbatere reflectă una dintre funcţiile
limbajului numită:
a. funcţia de reglare;
b. funcţia expresivă;
c. funcţia dialectică.
24. Formarea unei imagini corecte despre celălalt este determinată de:
a. capacitatea persoanei, cu care intrăm în relaţie, de a se exterioriza;
b. capacitatea de a aprecia comportamentele altora.
25. Statusul social defineşte:
a. drepturile persoanei;
b. îndatoririle persoanei.
26. Familia face parte din categoria:
a. grupurilor primare;
b. grupurilor secundare.
27. „Criza de originalitate” se manifestă în:
a. copilărie;
b. pubertate;
c. adolescenţă.

Subiect · pagina 11

Neclasificat
3 din 3
28. Mediul, ca factor fundamental al dezvoltării personalităţii, funcţionează ca:
a. premisă;
b. sursă şi condiţie.
29. Fenomenul de reminiscenţă este specific:
a. bătrâneţii;
b. maturităţii;
c. tinereţii.
30. Fazele procesului creativ sunt:
a. formularea intenţiei şi împărtăşirea ei;
b. documentarea şi experimentarea;
c. gestaţia;
d. iluminarea – apariţia soluţiei;
e. elaborarea finală a soluţiei.

Subiect · pagina 12

1 din 1
BAREM DE EVALUARE ŞI APRECIERE A
TESTULUI GRILĂ LA PSIHOLOGIE
VARIANTA I
1 a, c, d 16 b, d
2 b 17 b
3 c 18 b
4 a 19 a, b
5 b, c 20 a
6 a, b, c, d 21 b
7 a 22 a
8 c 23 c
9 b, c 24 a, b
10 a, b, d 25 a, b
11 b 26 a
12 a, c 27 c
13 a 28 b
14 a, b, c 29 a
15 c 30 b, c, d, e

Subiect · pagina 13

LUCRARE SCRISĂ LA MATEMATICĂ
VARIANTA I
1. Fie ecuaţia , , unde sunt soluţiile ecuaţiei. Atunci valoarea
expresiei este:
0132 =−−+ mxmx *
Rm ∈ 21 , xx
21213 xxxx −−
a) ; b) ln2; c)3− 3 ; d) ; e) e.π−
2. Fie ( ) o progresie aritmetică de raţie1≥nna r . Ştiind că şi31 =a 8127 =a , atunci r este:
a) ; b) ; c) ; d) ; e) .3 0 4− 4 1−
3. Se consideră binomul ( 113 xxx − ) . Coeficientul termenului din dezvoltare care-l conţine pe
este:
6
x
a) ; b) ; c) ; d) ; e) .55 50 45 35 30
4. Dacă ecuaţia are rădăcina , unde , atunci este:01375 23 =++− xxx ix 231 += 12 −=i 32 xx ⋅
a) ; b) ; c) ; d)i23 +− i23 −− i21 +− i21 + ; e) .i2
5. Valoarea reală a lui pentru care sistemul este incompatibil, este:m
( )⎪
⎩
⎪
⎨
⎧
=++−
=++
=−+
2212
132
22
zyxm
zyx
zymx
a) b) c)m ;3= ;3ln2m = ;29m = d) ;e5m = e) .7m π=
6. Dacă 5
3
cos −=
α şi ⎟
⎠
⎞
⎜
⎝
⎛
∈ 2
3
,
π
π
α , atunci
αtg are valoarea:
a) 3
4 ; b) 3
4
− ; c) 3
1 ; d) 3
1
− ; e) 3
5 .
7. Unghiul format de vectorii jiu rrr 52 −= şi jiv rrr 25 += , este:
a) 2
π ; b) 4
π ; c) 3
π ; d) 6
π ; e) 3
2
π .
8. Parametrul R∈
λ , pentru care familia de drepte 0)2(1 =−++− yxyx
λ , este paralelă cu , are
valoarea:
Ox
a) 2
1
− ; b) 2
1 ; c) 2
3
− ; d) ; e) 1 .0
9. Dacă 0 , atunci valoarea expresiei12 =++ zz 2013
2013 1
z
z + , este:
a) ; b) ; c) 1 ; d) ; e) i .2 2− 4
10. Fie punctele , şi . Distanţa de la punctul( )0;2−A ( 0;4B ) )( 6;0C B la dreapta ( AC) este:
a) 5
109 ; b) 5
103 ; c) 7
109 ; d) 10 ; e) 109 .
11. Fie funcţia ,{ } R2R:f →−
⎪
⎪
⎩
⎪⎪
⎨
⎧
>
−
−
<
−
−
=
2,
2
42
2,
2
)3ln(
)(
x
x
x
x
xa
xf x . Valoarea parametrului , pentru care
funcţia f poate fi prelungită prin continuitate la R, este:
Ra ∈
a) ; b) ; c) ; d) ; e)2ln4− 2ln4 2ln 2ln2 2ln2− .
1 din 2

Subiect · pagina 14

12. Valorile parametrilor pentru care ecuaţia are
rădăcina triplă , sunt:
Rpnm ∈,, ( ) 0123 234 =−+++−+ pxnmxxx
1−=x
a) ; b)1,1,3 =−=−= pnm 1,1,3 =−== pnm ; c) 1,1,3 ==−= pnm ;
d) ; e)1,1,3 −=−=−= pnm 2,1,3 =−=−= pnm .
13. Fie funcţia ,RRf →: 1
2
)( 2 +
−+
= x
aax
xf , Ra ∈ . Valoarea parametrului a, pentru care funcţia are
un punct de extrem egal cu 1 în punctul de abscisă 1=x , este:
a) ; b) ; c) 3 ; d) ; e) .2 2− 3− 0
14. Dacă dx
xx
xF ∫ +
= )ln1(
1
)( şi , unde e este baza logaritmilor naturali, atunci este:0)( =eF )( 2
eF
a) 2
3
ln ; b) ; c)6ln 3
2
ln ; d) 2
1
ln ; e) .3ln
15. Valoarea integralei ∫ +
2
1
3
2 dx
x
x este:
a) 4
3
ln8
3
10 + ; b) 4
3
ln8
3
10 − ; c) 4
3
ln8
3
10 +− ; d) 4
3
ln
3
10 + ; e) 4
3
ln8
3
1 + .
2 din 2

Subiect · pagina 15

Rezolvare subiect matematică
Varianta I
1.
;1
1
;
3
21
21
−−=
−=+
m
xx
m
xx
33 2121 −=−− xxxx .
2. rnaan ⋅−+= )1(1
.3
81
263
27
27 =⇒
⎭
⎬
⎫
=
⋅+= r
a
ra
3. ;kknk
nk baCT −
+ =1
2
3
3
11
111 )1(
kk
kk
k xCT +
−
+ −= ;
26
2
3
3
11 =⇒=+
− k
kk ;
- coeficientul lui : .6
x 55)1( 2
11
2 =− C
4. i
i
xx
ix
xxx 23
23
13
23
13
32
1
321 +−=
+
−=⇒
⎭
⎬
⎫
+=
−= .
5.
1212
312
21
−
−
=Δ
m
m
;
- sistem incompatibil ⇒ 30 =⇒=Δ m ;
- pentru , sistemul devine ; se observă că ecuaţia 1+ ecuaţia 2= ecuaţia 3
exclusiv termenii liberi, deci sistemul este incompatibil.
3=m
⎪
⎩
⎪
⎨
⎧
=++
=++
=−+
225
132
223
zyx
zyx
zyx
6. - cum 0sin
2
3
, <⇒⎟
⎠
⎞
⎜
⎝
⎛
∈
α
π
π
α ;
.
3
4
cos
cos1
cos
sin 2
=
−−
==
α
α
α
α
αtg
7. α⋅⋅=⋅ cosvuvu rrrr , unde
α este unghiul format de vectorii u
r şi v
r ;
.
2
0coscos29291010
π
α
α
α =⇒=⇒⋅⋅=−
8. - panta familiei de drepte 1
12
+
+
=
λ
λ
m ;
- familia de drepte este paralelă cu Ox dacă 2
1
0 −=⇒=
λm .
1 din 3

Subiect · pagina 16

9. ;101 32 =⇒=++ zzz
;( ) 1
67132013 == zz
- valoarea expresiei 2
1
2013
2013 =+ z
z .
10. - ecuaţia dreptei 0630
160
102
1
:)( =+−⇔=− yx
yx
AC ;
- distanţa de la punctul B la dreapta (AC): ( ) 5
109
19
6043
, =
+
+−⋅
=ACBd .
11. - funcţia { } RRf →− 2: ,
⎪
⎪
⎩
⎪⎪
⎨
⎧
>
−
−
<
−
−
=
2,
2
42
2,
2
)3ln(
)(
x
x
x
x
xa
xf x poate fi prelungită prin continuitate pe R
dacă , adică∞<= )2()2( ds ff 2ln42ln4)(lim)(lim
22
22
−=⇒=−⇔=
>
→
<
→
aaxfxf
x
x
x
x
.
12. - ecuaţia are rădăcină triplă 1−=x ⇔ .0)1()1()1( ''' =−=−=− fff
30260)1('' −=⇒=−−⇔=− mmf ;
1720)1(' −=⇒−=+⇔=− nnmf ;
150)1( =⇒=+−−⇔=− ppnmf .
13. 22
2
'
)1(
)24(
)( +
+−+−
= x
axaax
xf ;
– funcţia f admite extrem în punctul de abscisă 1=x dacă 20
4
24
0)1(' =⇒=
−
⇔= a
a
f .
14. ;ln x
dx
dtxt =⇒=
CxCtdt
t
dx
xx
xF ++=++=
+
=
+
= ∫∫ ln1ln1ln
1
1
)ln1(
1
)( ;
2ln
0)(
2ln)( −=⇒
⎭
⎬
⎫
=
+= C
eF
CeF ;
2
3
ln2ln3ln)( 2 =−=eF .
2 din 3

Subiect · pagina 17

15.
( )
.
4
3
ln8
3
10
2ln84
3
2
8
42
2
2
1
2
1
2
3
2
1
2
1
2
2
1
3
+=
+−
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛ +−=
+
−+−=
+ ∫∫∫
xxx
x
dx
x
dxxxdx
x
x
3 din 3
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Ce document de admitere este acesta?

Pagina prezintă examen de admitere din 2013 pentru Matematică, Informatică și Fizică, la Programe de studii universitare de licență. Documentul este etichetat după instituție, facultate, program și tipul probei folosind inventarul public verificat. Consultă metodologia actuală a instituției pentru condițiile examenului viitor.

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Rezolvă documentul fără ajutor și respectă timpul prevăzut de metodologia examenului. Corectează cu baremul disponibil, marchează capitolele unde ai pierdut puncte și repetă exerciții similare. Compară apoi cu alte probe din aceeași facultate și confirmă programa curentă pe site-ul oficial al instituției.