Topic
Q:
b) \( x^{2}-6 x \)
Q:
Resuelve la inecuación \( \frac{x^{2}-x-2}{x^{3}-4 x^{2}-3 x+18} \geq 0 \)
Q:
Write an equation for the following statements:
1. The fare \( F \) of a passenger varies directly as the distance \( d \) of his destination.
2. The cost \( C \) of fish varies directly as its weight \( w \) in kilograms.
3. An employee's salary \( S \) varies directly as the number of days \( d \) he has worked.
4. The area \( A \) of a square varies directly as the square of its side \( s \).
5. The distance \( D \) travelled by a car varies directly as its speed \( s \).
Q:
ation \( \frac{4 x}{3}-5=\frac{25}{3} \)
Q:
\( Z = \int _ { X } ^ { y } e ^ { t ^ { 2 } } d t \)
Q:
b) \( (b+4 a)(4 a-b) \)
Q:
A solid cube with a side length of 8 cm is placed inside
an empty water tank in the form of a cube with a side
length of 15 cm . The tank is then filled with water.
How many litres of water can completely fill the space
between the tank and the solid cube?
Q:
3. Из точки \( O \), лежашей вне двух параллельных плоскостей \( \alpha \) и \( \beta \), проведены
три луча, пересекающие плоскости \( \alpha \) и \( \beta \) соответственно в точках \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) и
\( \mathrm{A}_{1}, \mathrm{~B}_{1}, \mathrm{C}_{1}\left(\mathrm{OA}<\mathrm{OA}_{1}\right) \). Найдите периметр \( \mathrm{A}_{1} \mathrm{~B}_{1} \mathrm{C}_{1} \), если \( \mathrm{OA}=5 \mathrm{~cm}, \mathrm{AA}_{1}=7 \)
\( \mathrm{~cm}, \mathrm{AB}=6 \mathrm{~cm}, \mathrm{BC}=8 \mathrm{~cm} \).
Q:
a) \( (k-p)(k+p) \)
Q:
\( 2.3 x=3+\sqrt{x^{2}+y^{2}} \)
2.3.1.
2.3.2 Determine \( \frac{d y}{d x} \)
Determine the equation of the tangent to the graph at point \( (4,3 \)
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