2.2 Übungen
Aus Online Mathematik Brückenkurs 1
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Version vom 09:18, 22. Okt. 2008
Übung 2.2:1
Solve the equations
| a) | | b) | |
| c) | | d) | |
Answer | Solution a | Solution b | Solution c | Solution d
Laden...Übung 2.2:2
Solve the equations
| a) | | b) | |
| c) | | d) | |
Answer | Solution a | Solution b | Solution c | Solution d
Übung 2.2:3
Solve the equations
| a) | |
| b) | |
| c) |  1x−1−1x+1 x2+21=3x−36x−1 |
| d) | x2−314x+21−12x−322−12x+3112x−31=0 |
Answer | Solution a | Solution b | Solution c | Solution d
Übung 2.2:4
| a) | Write the equation for the line |
| b) | Write the equation for the line |
Übung 2.2:5
| a) | Determine the equation for the straight line that goes between the points  3)0) |
| b) | Determine the equation for the straight line that has slope −2) |
| c) | Determine the equation for the straight line that goes through the point 2) |
| d) | Determine the equation for the straight line that goes through the point 4) |
| e) | Determine the slope, 0)−8) |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e
Übung 2.2:6
Find the points of intersection between the pairs of lines in the following
| a) | | b) | |
| c) | | d) | |
| e) | \displaystyle 2x+y-1=0\ and \displaystyle \ y-2x-2=0 |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e
Übung 2.2:7
Sketch the graph of the functions
| a) | \displaystyle f(x)=3x-2 | b) | \displaystyle f(x)=2-x | c) | \displaystyle f(x)=2 |
Answer | Solution a | Solution b | Solution c
Übung 2.2:8
In the xy-plane, fill in all the points whose coordinates \displaystyle \,(x,y)\, satisfy
| a) | \displaystyle y \geq x | b) | \displaystyle y < 3x -4 | c) | \displaystyle 2x+3y \leq 6 |
Answer | Solution a | Solution b | Solution c
Übung 2.2:9
Calculate the area of the triangle which
| a) | has corners at the points \displaystyle \,(1,4)\,, \displaystyle \,(3,3)\, and \displaystyle \,(1,0)\,. |
| b) | is bordered by the lines \displaystyle \ x=2y\,, \displaystyle \ y=4\ and \displaystyle \ y=10-2x\,. |
| c) | is described by the inequalities \displaystyle \ x+y \geq -2\,, \displaystyle \ 2x-y \leq 2\ and \displaystyle \ 2y-x \leq 2\,. |
Answer | Solution a | Solution b | Solution c
