B

9000031209

Časť: 
B
Sú dané komplexné čísla \(z_{1} = 2\sqrt{2}\left (\cos \frac{\pi }{4} + \mathrm{i}\sin \frac{\pi }{4}\right )\) a \(z_{2} = \sqrt{2}\left (\cos \frac{7\pi } {4} + \mathrm{i}\sin \frac{7\pi } {4}\right )\). Určte súčin \(z_{1}z_{2}\) v algebraickom tvaru.
\(4\)
\(4\mathrm{i}\)
\(- 4\mathrm{i}\)
\(- 4\)

9000033703

Časť: 
B
Určte definičný obor funkcie \(f\colon y = \frac{x} {\sqrt{4x^{2 } - 9}}\).
\(\left (-\infty ;-\frac{3} {2}\right )\cup \left (\frac{3} {2};\infty \right )\)
\(\mathbb{R}\)
\(\mathbb{R}\setminus \left \{-\frac{3} {2}; \frac{3} {2}\right \}\)
\(\left (-\frac{3} {2}; \frac{3} {2}\right )\)
\(\left \langle -\frac{3} {2}; \frac{3} {2}\right \rangle \)
\(\left (-\infty ;-\frac{3} {2}\right \rangle \cup \left \langle \frac{3} {2};\infty \right )\)