5.2 Exercises
From Förberedande kurs i matematik 1
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===Exercise 5.2:1=== | ===Exercise 5.2:1=== | ||
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| - | + | Which of the arrows <math>\Rightarrow</math>, <math>\Leftarrow</math> or <math>\Leftrightarrow</math> should you insert between the following equations? (Instead of the question mark.) | |
| + | {| width="100%" cellspacing="10px" | ||
| + | |a) | ||
| + | |width="100%" | <math>\tan x(\sin x+1) = 2\tan x\quad ?\quad\sin x+1=2</math> | ||
| + | |- | ||
| + | |b) | ||
| + | |width="100%" | <math>\sqrt{x-1} = x+1\quad ?\quad x-1 = (x+1)^2</math> | ||
| + | |- | ||
| + | |c) | ||
| + | |width="100%" | <math>x^2-6x+1=0\quad ?\quad (x-3)^2-9+1=0</math> | ||
| + | |} | ||
</div>{{#NAVCONTENT:Solution|Solution 5.2:1}} | </div>{{#NAVCONTENT:Solution|Solution 5.2:1}} | ||
Revision as of 15:24, 27 January 2009
| Theory | Exercises |
Exercise 5.2:1
Which of the arrows \displaystyle \Rightarrow, \displaystyle \Leftarrow or \displaystyle \Leftrightarrow should you insert between the following equations? (Instead of the question mark.)
| a) | \displaystyle \tan x(\sin x+1) = 2\tan x\quad ?\quad\sin x+1=2 |
| b) | \displaystyle \sqrt{x-1} = x+1\quad ?\quad x-1 = (x+1)^2 |
| c) | \displaystyle x^2-6x+1=0\quad ?\quad (x-3)^2-9+1=0 |
Solution
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Exercise 5.2:2
Criticize the following excerpt from a solution made by a student.
Solution
Exercise 5.2:3
Criticize the following excerpt from a solution made by a student.
Solution
Exercise 5.2:4
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Solution
Exercise 5.2:5
Criticize the following excerpt from a solution made by a student.
Solution
Exercise 5.2:6
Criticize the following excerpt from a solution made by a student.
Solution
Exercise 5.2:7
Criticize the following excerpt from a solution made by a student.
Solution
Exercise 5.2:8
Criticize the following excerpt from a solution made by a student.
Solution
Exercise 5.2:9
Criticize the following excerpt from a solution made by a student.
Solution
