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Brandos Atestatas Key Facts and Formulas

25 flashcards with core formulas, literary terms and dates of Lithuanian history. Study material written for practice, not an official test.

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Quadratic formula for

a x^{2} + b x + c = 0

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Quadratic formula for

a x^{2} + b x + c = 0

x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

Vieta's formulas

For

x^{2} + p x + q = 0

x_{1} + x_{2} = - p

and

x_{1} x_{2} = q

Sum of the first

n

terms of an arithmetic sequence

S_{n} = \frac{n}{2} (2 a_{1} + (n - 1) d)

n

-th term of a geometric sequence

a_{n} = a_{1} q^{n - 1}

Sum of an infinite geometric series

S = \frac{a _{1}}{1 - q}

when

∣ q ∣ < 1

Derivative of

x^{n}

(x^{n})^{'} = n x^{n - 1}

Product rule

(uv)^{'} = u^{'} v + u v^{'}

Chain rule

(f (g (x)))^{'} = f^{'} (g (x)) \cdot g^{'} (x)

Derivative of

ln x

(ln x)^{'} = \frac{1}{x}

Volume of a cylinder

V = r^{2} π h

Volume of a cone

V = \frac{1}{3} r^{2} π h

Law of cosines

c^{2} = a^{2} + b^{2} - 2 ab cos γ

Distance between

(x_{1}, y_{1})

and

(x_{2}, y_{2})

d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

Number of combinations of

k

from

n

(k n) = \frac{n !}{k ! ( n - k )!}

Probability of the complement

P (not A) = 1 - P (A)

Author of Metai (The Seasons)

Kristijonas Donelaitis, in the eighteenth century, written in hexameter.

Author of Pavasario balsai

Maironis (Jonas Mačiulis), published in 1895.

Author of the national anthem

Vincas Kudirka, published in 1898.

Number of letters in the Lithuanian alphabet

32.

Number of grammatical cases in Lithuanian

Seven, including the vocative and the locative.

Coronation of Mindaugas

1253. Statehood Day is on 6 July.

Battle of Grunwald (Žalgiris)

1410, a victory of Lithuania and Poland over the Teutonic Order.

Act of Independence

16 February 1918, signed in Vilnius by the Council of Lithuania.

Restoration of independence

11 March 1990, the first Soviet republic to declare it.

Joining NATO and the European Union

2004.

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