Probni prijemni ispit na Elektrotehničkom fakultetu u Beogradu
20. jun 2020.
1.Link zadatka Vrednost izraza [inline]\displaystyle\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^2}+\frac{4}{1+x^4}+\frac{8}{1+x^8}[/inline], za [inline]x\in\mathbb{R}[/inline], [inline]x\ne\pm1[/inline], jednaka je:
[inline]\text{(A)}[/inline] [inline]\displaystyle\frac{16}{1-x^{16}}[/inline] [inline]\text{(B)}[/inline] [inline]\displaystyle\frac{8}{1-x^8}[/inline] [inline]\text{(C)}[/inline] [inline]\displaystyle\frac{16}{1+x^{16}}[/inline] [inline]\text{(D)}[/inline] [inline]\displaystyle\frac{16}{x^{16}-1}[/inline] [inline]\text{(E)}[/inline] [inline]\displaystyle\frac{8}{1-x^{16}}[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\enclose{circle}{\text{(A)}}[/inline] [inline]\displaystyle\frac{16}{1-x^{16}}[/inline] [inline]\text{(B)}[/inline] [inline]\displaystyle\frac{8}{1-x^8}[/inline] [inline]\text{(C)}[/inline] [inline]\displaystyle\frac{16}{1+x^{16}}[/inline] [inline]\text{(D)}[/inline] [inline]\displaystyle\frac{16}{x^{16}-1}[/inline] [inline]\text{(E)}[/inline] [inline]\displaystyle\frac{8}{1-x^{16}}[/inline] [inline]\text{(N)}[/inline] Ne znam
2.Link zadatka Cena ulaznice za bioskop povećana je za [inline]40\%[/inline], ali je zarada od prodaje ulaznica povećana samo za [inline]26\%[/inline]. Za koliko je smanjen broj posetilaca?
[inline]\text{(A)}[/inline] [inline]10\%[/inline] [inline]\text{(B)}[/inline] [inline]12\%[/inline] [inline]\text{(C)}[/inline] [inline]14\%[/inline] [inline]\text{(D)}[/inline] [inline]24\%[/inline] [inline]\text{(E)}[/inline] [inline]38\%[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\enclose{circle}{\text{(A)}}[/inline] [inline]10\%[/inline] [inline]\text{(B)}[/inline] [inline]12\%[/inline] [inline]\text{(C)}[/inline] [inline]14\%[/inline] [inline]\text{(D)}[/inline] [inline]24\%[/inline] [inline]\text{(E)}[/inline] [inline]38\%[/inline] [inline]\text{(N)}[/inline] Ne znam
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3.Link zadatka Vrednost izraza [inline]\displaystyle\sqrt{4-\sqrt{4+2\sqrt3}-\sqrt{4-2\sqrt3}}[/inline] jednaka je:
[inline]\text{(A)}[/inline] [inline]1+\sqrt3[/inline] [inline]\text{(B)}[/inline] [inline]1-\sqrt3[/inline] [inline]\text{(C)}[/inline] [inline]-1+\sqrt3[/inline] [inline]\text{(D)}[/inline] [inline]\sqrt2[/inline] [inline]\text{(E)}[/inline] [inline]\sqrt6[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]1+\sqrt3[/inline] [inline]\text{(B)}[/inline] [inline]1-\sqrt3[/inline] [inline]\enclose{circle}{\text{(C)}}[/inline] [inline]-1+\sqrt3[/inline] [inline]\text{(D)}[/inline] [inline]\sqrt2[/inline] [inline]\text{(E)}[/inline] [inline]\sqrt6[/inline] [inline]\text{(N)}[/inline] Ne znam
4.Link zadatka Inverzna funkcija funkcije [inline]f\colon\mathbb{R}\to(2,+\infty)[/inline] date sa [inline]f(x)=2\cdot3^{x-2}+2[/inline] jeste funkcija [inline]g\colon(2,+\infty)\to\mathbb{R}[/inline] za koju važi:
[inline]\text{(A)}[/inline] [inline]\displaystyle g(x)=\log_3\frac{x-2}{18}[/inline] [inline]\text{(B)}[/inline] [inline]\displaystyle g(x)=\log_3\frac{x-2}{3}+\log_3\frac{27}{2}[/inline] [inline]\text{(C)}[/inline] [inline]\displaystyle g(x)=\log_3\frac{2}{9}+\log_3(x-2)[/inline] [inline]\text{(D)}[/inline] [inline]g(x)=2\bigl(\log_3(x-2)-1\bigr)[/inline] [inline]\text{(E)}[/inline] [inline]\displaystyle g(x)=\log_3\frac{x-2}{3}-2[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]\displaystyle g(x)=\log_3\frac{x-2}{18}[/inline] [inline]\enclose{circle}{\text{(B)}}[/inline] [inline]\displaystyle g(x)=\log_3\frac{x-2}{3}+\log_3\frac{27}{2}[/inline] [inline]\text{(C)}[/inline] [inline]\displaystyle g(x)=\log_3\frac{2}{9}+\log_3(x-2)[/inline] [inline]\text{(D)}[/inline] [inline]g(x)=2\bigl(\log_3(x-2)-1\bigr)[/inline] [inline]\text{(E)}[/inline] [inline]\displaystyle g(x)=\log_3\frac{x-2}{3}-2[/inline] [inline]\text{(N)}[/inline] Ne znam
5.Link zadatka Grafici funkcija [inline]f(x)=ax^2+3x+c[/inline] i [inline]\displaystyle g(x)=\frac{c}{2}x+2[/inline], [inline]a,c\in\mathbb{R}[/inline], [inline]x\in\mathbb{R}[/inline], dati su na slici.
Vrednost izraza [inline]a+c[/inline] jednaka je:
[inline]\text{(A)}[/inline] [inline]1[/inline] [inline]\text{(B)}[/inline] [inline]2[/inline] [inline]\text{(C)}[/inline] [inline]3[/inline] [inline]\text{(D)}[/inline] [inline]-1[/inline] [inline]\text{(E)}[/inline] [inline]-3[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]1[/inline] [inline]\text{(B)}[/inline] [inline]2[/inline] [inline]\enclose{circle}{\text{(C)}}[/inline] [inline]3[/inline] [inline]\text{(D)}[/inline] [inline]-1[/inline] [inline]\text{(E)}[/inline] [inline]-3[/inline] [inline]\text{(N)}[/inline] Ne znam
6.Link zadatka Ako je [inline]x=i[/inline] jedan koren realnog polinoma [inline]P(x)=4x^4+ax^3-bx^2-5x+c[/inline], [inline]i^2=-1[/inline], onda je [inline]a+b+c[/inline] jednako:
[inline]\text{(A)}[/inline] [inline]-5[/inline] [inline]\text{(B)}[/inline] [inline]-4[/inline] [inline]\text{(C)}[/inline] [inline]-9[/inline] [inline]\text{(D)}[/inline] [inline]-1[/inline] [inline]\text{(E)}[/inline] [inline]9[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]-5[/inline] [inline]\text{(B)}[/inline] [inline]-4[/inline] [inline]\enclose{circle}{\text{(C)}}[/inline] [inline]-9[/inline] [inline]\text{(D)}[/inline] [inline]-1[/inline] [inline]\text{(E)}[/inline] [inline]9[/inline] [inline]\text{(N)}[/inline] Ne znam
7.Link zadatka Koji od kompleksnih brojeva [inline]z_1=-1-i[/inline], [inline]z_2=-\sqrt3+i[/inline], [inline]z_3=1-i\sqrt3[/inline], [inline]z_4=1+i[/inline] ili [inline]z_5=i[/inline], [inline]i^2=-1[/inline], ima najveću glavnu vrednost argumenta [inline]\varphi[/inline], [inline]-\pi\lt\varphi\le\pi[/inline]:
[inline]\text{(A)}[/inline] [inline]z_1[/inline] [inline]\text{(B)}[/inline] [inline]z_2[/inline] [inline]\text{(C)}[/inline] [inline]z_3[/inline] [inline]\text{(D)}[/inline] [inline]z_4[/inline] [inline]\text{(E)}[/inline] [inline]z_5[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]z_1[/inline] [inline]\enclose{circle}{\text{(B)}}[/inline] [inline]z_2[/inline] [inline]\text{(C)}[/inline] [inline]z_3[/inline] [inline]\text{(D)}[/inline] [inline]z_4[/inline] [inline]\text{(E)}[/inline] [inline]z_5[/inline] [inline]\text{(N)}[/inline] Ne znam
8.Link zadatka Neka je definisan niz funkcija [inline]f_n\colon\mathbb{R}\setminus\{0,1\}\to\mathbb{R}\setminus\{0,1\}[/inline] sa [inline]\displaystyle f_1(x)=\frac{1}{1-x}[/inline], [inline]f_{n+1}(x)=f_1\bigl(f_n(x)\bigr)[/inline], [inline]n\in\mathbb{N}[/inline]. Tada je [inline]\displaystyle f_{2020}\left(\frac{2019}{2020}\right)[/inline] jednako:
[inline]\text{(A)}[/inline] [inline]\displaystyle\frac{2019}{2020}[/inline] [inline]\text{(B)}[/inline] [inline]\displaystyle\frac{1}{2019}[/inline] [inline]\text{(C)}[/inline] [inline]2020[/inline] [inline]\text{(D)}[/inline] [inline]-2020[/inline] [inline]\text{(E)}[/inline] [inline]\displaystyle-\frac{1}{2019}[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]\displaystyle\frac{2019}{2020}[/inline] [inline]\text{(B)}[/inline] [inline]\displaystyle\frac{1}{2019}[/inline] [inline]\enclose{circle}{\text{(C)}}[/inline] [inline]2020[/inline] [inline]\text{(D)}[/inline] [inline]-2020[/inline] [inline]\text{(E)}[/inline] [inline]\displaystyle-\frac{1}{2019}[/inline] [inline]\text{(N)}[/inline] Ne znam
9.Link zadatka Neka je data geometrijska progresija sa opštim članom [inline]a_n[/inline], [inline]n\in\mathbb{N}[/inline], [inline]a_1>0[/inline], i količnikom [inline]q>1[/inline], i neka je data aritmetička progresija sa opštim članom [inline]b_n[/inline], [inline]n\in\mathbb{N}[/inline], [inline]b_1>0[/inline], i razlikom [inline]d>0[/inline], [inline]d\ne1[/inline]. Ako je [inline]\log_xa_8-b_8=\log_xa_1-b_1[/inline], [inline]x>0[/inline], [inline]x\ne1[/inline], onda je [inline]x[/inline] jednako:
[inline]\text{(A)}[/inline] [inline]\sqrt[3]2[/inline] [inline]\text{(B)}[/inline] [inline]q^d[/inline] [inline]\text{(C)}[/inline] [inline]\sqrt[d]q[/inline] [inline]\text{(D)}[/inline] [inline]2^3[/inline] [inline]\text{(E)}[/inline] [inline]\sqrt3[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]\sqrt[3]2[/inline] [inline]\text{(B)}[/inline] [inline]q^d[/inline] [inline]\enclose{circle}{\text{(C)}}[/inline] [inline]\sqrt[d]q[/inline] [inline]\text{(D)}[/inline] [inline]2^3[/inline] [inline]\text{(E)}[/inline] [inline]\sqrt3[/inline] [inline]\text{(N)}[/inline] Ne znam
10.Link zadatka Broj realnih rešenja jednačine [inline]6x^2+7x\sqrt{x+1}=24(x+1)[/inline] jeste:
[inline]\text{(A)}[/inline] [inline]1[/inline] [inline]\text{(B)}[/inline] [inline]4[/inline] [inline]\text{(C)}[/inline] [inline]2[/inline] [inline]\text{(D)}[/inline] [inline]3[/inline] [inline]\text{(E)}[/inline] Veći od [inline]4[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]1[/inline] [inline]\text{(B)}[/inline] [inline]4[/inline] [inline]\enclose{circle}{\text{(C)}}[/inline] [inline]2[/inline] [inline]\text{(D)}[/inline] [inline]3[/inline] [inline]\text{(E)}[/inline] Veći od [inline]4[/inline] [inline]\text{(N)}[/inline] Ne znam
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11.Link zadatka Zbir svih realnih rešenja jednačine [inline]\sqrt{\log_{10}(-x-1)}=\log_{10}\sqrt{x^2+2x+1}[/inline] jeste:
[inline]\text{(A)}[/inline] [inline]-13[/inline] [inline]\text{(B)}[/inline] [inline]-11[/inline] [inline]\text{(C)}[/inline] [inline]-10[/inline] [inline]\text{(D)}[/inline] [inline]-2[/inline] [inline]\text{(E)}[/inline] [inline]2[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\enclose{circle}{\text{(A)}}[/inline] [inline]-13[/inline] [inline]\text{(B)}[/inline] [inline]-11[/inline] [inline]\text{(C)}[/inline] [inline]-10[/inline] [inline]\text{(D)}[/inline] [inline]-2[/inline] [inline]\text{(E)}[/inline] [inline]2[/inline] [inline]\text{(N)}[/inline] Ne znam
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12.Link zadatka Proizvod svih realnih rešenja jednačine [inline]\left(\sqrt{4+2\sqrt3}\right)^x+\left(\sqrt{4-2\sqrt3}\right)^x=4\left(\sqrt2\right)^x[/inline] jeste:
[inline]\text{(A)}[/inline] [inline]-4[/inline] [inline]\text{(B)}[/inline] [inline]-2[/inline] [inline]\text{(C)}[/inline] [inline]-1[/inline] [inline]\text{(D)}[/inline] [inline]-2[/inline] [inline]\text{(E)}[/inline] [inline]2[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\enclose{circle}{\text{(A)}}[/inline] [inline]-4[/inline] [inline]\text{(B)}[/inline] [inline]-2[/inline] [inline]\text{(C)}[/inline] [inline]-1[/inline] [inline]\text{(D)}[/inline] [inline]-2[/inline] [inline]\text{(E)}[/inline] [inline]2[/inline] [inline]\text{(N)}[/inline] Ne znam
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13.Link zadatka Dat je paralelogram [inline]ABCD[/inline] i tačka [inline]M[/inline] na njegovoj dijagonali [inline]AC[/inline]. Prava koja sadrži tačku [inline]M[/inline] i paralelna je stranici [inline]AB[/inline] seče stranicu [inline]AD[/inline] u tački [inline]N[/inline], a stranicu [inline]BC[/inline] u tački [inline]Q[/inline]. Ako je površina trougla [inline]AMN[/inline] jednaka [inline]P[/inline], a površina trougla [inline]CMQ[/inline] jednaka [inline]4P[/inline], onda je površina paralelograma [inline]ABCD[/inline] jednaka:
[inline]\text{(A)}[/inline] [inline]12P[/inline] [inline]\text{(B)}[/inline] [inline]15P[/inline] [inline]\text{(C)}[/inline] [inline]18P[/inline] [inline]\text{(D)}[/inline] [inline]20P[/inline] [inline]\text{(E)}[/inline] [inline]16P[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]12P[/inline] [inline]\text{(B)}[/inline] [inline]15P[/inline] [inline]\enclose{circle}{\text{(C)}}[/inline] [inline]18P[/inline] [inline]\text{(D)}[/inline] [inline]20P[/inline] [inline]\text{(E)}[/inline] [inline]16P[/inline] [inline]\text{(N)}[/inline] Ne znam
14.Link zadatka Sva rešenja jednačine [inline]\displaystyle3\arccos\left(x^2-4x+\frac{5}{2}\right)=2\pi[/inline] pripadaju intervalu:
[inline]\text{(A)}[/inline] [inline](-\infty,-2\pi)[/inline] [inline]\text{(B)}[/inline] [inline][-2\pi,-\pi][/inline] [inline]\text{(C)}[/inline] [inline][0,\pi][/inline] [inline]\text{(D)}[/inline] [inline](-\pi,0)[/inline] [inline]\text{(E)}[/inline] [inline](\pi,+\infty)[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline](-\infty,-2\pi)[/inline] [inline]\text{(B)}[/inline] [inline][-2\pi,-\pi][/inline] [inline]\enclose{circle}{\text{(C)}}[/inline] [inline][0,\pi][/inline] [inline]\text{(D)}[/inline] [inline](-\pi,0)[/inline] [inline]\text{(E)}[/inline] [inline](\pi,+\infty)[/inline] [inline]\text{(N)}[/inline] Ne znam
15.Link zadatka Broj realnih rešenja jednačine [inline]\displaystyle\frac{4}{x+\frac{5}{x-\frac{7}{x}}}=3[/inline] jeste:
[inline]\text{(A)}[/inline] [inline]0[/inline] [inline]\text{(B)}[/inline] [inline]1[/inline] [inline]\text{(C)}[/inline] [inline]2[/inline] [inline]\text{(D)}[/inline] [inline]3[/inline] [inline]\text{(E)}[/inline] Veći od [inline]3[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]0[/inline] [inline]\enclose{circle}{\text{(B)}}[/inline] [inline]1[/inline] [inline]\text{(C)}[/inline] [inline]2[/inline] [inline]\text{(D)}[/inline] [inline]3[/inline] [inline]\text{(E)}[/inline] Veći od [inline]3[/inline] [inline]\text{(N)}[/inline] Ne znam
16.Link zadatka Kružnice [inline](x-1)^2+y^2=25[/inline] i [inline](x-1)^2+(y-13)^2=144[/inline] seku se pod uglom:
[inline]\text{(A)}[/inline] [inline]30^\circ[/inline] [inline]\text{(B)}[/inline] [inline]45^\circ[/inline] [inline]\text{(C)}[/inline] [inline]60^\circ[/inline] [inline]\text{(D)}[/inline] [inline]90^\circ[/inline] [inline]\text{(E)}[/inline] [inline]15^\circ[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]30^\circ[/inline] [inline]\text{(B)}[/inline] [inline]45^\circ[/inline] [inline]\text{(C)}[/inline] [inline]60^\circ[/inline] [inline]\enclose{circle}{\text{(D)}}[/inline] [inline]90^\circ[/inline] [inline]\text{(E)}[/inline] [inline]15^\circ[/inline] [inline]\text{(N)}[/inline] Ne znam
17.Link zadatka Zbir kvadrata dužina stranica [inline]a[/inline] i [inline]b[/inline] paralelograma, čije dijagonale [inline]d_1[/inline] i [inline]d_2[/inline] imaju dužine [inline]4\text{ cm}[/inline] i [inline]6\text{ cm}[/inline], jeste:
[inline]\text{(A)}[/inline] [inline]13\text{ cm}^2[/inline] [inline]\text{(B)}[/inline] [inline]24\text{ cm}^2[/inline] [inline]\text{(C)}[/inline] [inline]20\text{ cm}^2[/inline] [inline]\text{(D)}[/inline] [inline]26\text{ cm}^2[/inline] [inline]\text{(E)}[/inline] [inline]22\text{ cm}^2[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]13\text{ cm}^2[/inline] [inline]\text{(B)}[/inline] [inline]24\text{ cm}^2[/inline] [inline]\text{(C)}[/inline] [inline]20\text{ cm}^2[/inline] [inline]\enclose{circle}{\text{(D)}}[/inline] [inline]26\text{ cm}^2[/inline] [inline]\text{(E)}[/inline] [inline]22\text{ cm}^2[/inline] [inline]\text{(N)}[/inline] Ne znam
18.Link zadatka Neka je dat pravilan tetraedar čija je ivica dužine [inline]a[/inline]. Površina trougla koji je dobijen kao presek datog tetraedra i ravni koja sadrži jednu ivicu tetraedra, a njoj naspramnu ivicu deli u odnosu [inline]2:1[/inline], jeste:
[inline]\text{(A)}[/inline] [inline]\displaystyle\frac{a^2\sqrt{17}}{12}[/inline] [inline]\text{(B)}[/inline] [inline]\displaystyle\frac{a^2\sqrt3}{6}[/inline] [inline]\text{(C)}[/inline] [inline]\displaystyle\frac{a^2\sqrt{19}}{12}[/inline] [inline]\text{(D)}[/inline] [inline]\displaystyle\frac{a^2\sqrt7}{6}[/inline] [inline]\text{(E)}[/inline] [inline]\displaystyle\frac{a^2\sqrt{17}}{13}[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]\displaystyle\frac{a^2\sqrt{17}}{12}[/inline] [inline]\text{(B)}[/inline] [inline]\displaystyle\frac{a^2\sqrt3}{6}[/inline] [inline]\enclose{circle}{\text{(C)}}[/inline] [inline]\displaystyle\frac{a^2\sqrt{19}}{12}[/inline] [inline]\text{(D)}[/inline] [inline]\displaystyle\frac{a^2\sqrt7}{6}[/inline] [inline]\text{(E)}[/inline] [inline]\displaystyle\frac{a^2\sqrt{17}}{13}[/inline] [inline]\text{(N)}[/inline] Ne znam
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19.Link zadatka Skup rešenja nejednačine [inline]\sqrt{8+2^{\sqrt{3-x}+1}-4^\sqrt{3-x}}+2^{\sqrt{3-x}+1}>5[/inline] jeste oblika (za neke realne brojeve [inline]a[/inline] i [inline]b[/inline] takve da je [inline]-\infty\lt a\lt b\lt\infty[/inline]):
[inline]\text{(A)}[/inline] [inline](a,b][/inline] [inline]\text{(B)}[/inline] [inline][a,b][/inline] [inline]\text{(C)}[/inline] [inline][a,b)[/inline] [inline]\text{(D)}[/inline] [inline](-\infty,b)[/inline] [inline]\text{(E)}[/inline] [inline](-\infty,b][/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline](a,b][/inline] [inline]\text{(B)}[/inline] [inline][a,b][/inline] [inline]\enclose{circle}{\text{(C)}}[/inline] [inline][a,b)[/inline] [inline]\text{(D)}[/inline] [inline](-\infty,b)[/inline] [inline]\text{(E)}[/inline] [inline](-\infty,b][/inline] [inline]\text{(N)}[/inline] Ne znam
20.Link zadatka Vrednost izraza [inline]\displaystyle\frac{\sin80^\circ+\sin50^\circ\cos70^\circ}{\sin50^\circ\sin70^\circ}[/inline] jeste:
[inline]\text{(A)}[/inline] [inline]\displaystyle\frac{1}{2}[/inline] [inline]\text{(B)}[/inline] [inline]1[/inline] [inline]\text{(C)}[/inline] [inline]\displaystyle\frac{\sqrt3}{2}[/inline] [inline]\text{(D)}[/inline] [inline]\sqrt3[/inline] [inline]\text{(E)}[/inline] [inline]\displaystyle\frac{\sqrt3}{3}[/inline] [inline]\text{(N)}[/inline] Ne znam[inline]\text{(A)}[/inline] [inline]\displaystyle\frac{1}{2}[/inline] [inline]\text{(B)}[/inline] [inline]1[/inline] [inline]\text{(C)}[/inline] [inline]\displaystyle\frac{\sqrt3}{2}[/inline] [inline]\enclose{circle}{\text{(D)}}[/inline] [inline]\sqrt3[/inline] [inline]\text{(E)}[/inline] [inline]\displaystyle\frac{\sqrt3}{3}[/inline] [inline]\text{(N)}[/inline] Ne znam
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