B

9000151306

Časť: 
B
Určte odchýlku \(\varphi \) priamok zadaných parametricky \[ p\colon \begin{aligned}[t] x& = 1 - t, & \\y& = 2 + t;\ t\in \mathbb{R}, \\ \end{aligned}\qquad q\colon \begin{aligned}[t] x& = 4 - k, & \\y& = 5 + k;\ k\in \mathbb{R}. \\ \end{aligned} \]
\(0^{\circ }\)
\(90^{\circ }\)
\(60^{\circ }\)
\(30^{\circ }\)

9000150107

Časť: 
B
Vypočítajte \(\int \frac{x^{3}-27} {x-3} \, \mathrm{d}x\) na intervale \((3;+\infty)\).
\(\frac{x^{3}} {3} + \frac{3x^{2}} {2} + 9x + c,\ c\in \mathbb{R}\)
\(\frac{x^{3}} {3} -\frac{3x^{2}} {2} + 9x + c,\ c\in \mathbb{R}\)
\(\frac{x^{3}} {3} -\frac{3x^{2}} {2} - 9x + c,\ c\in \mathbb{R}\)
\(\frac{x^{3}} {3} + \frac{3x^{2}} {2} - 9x + c,\ c\in \mathbb{R}\)