5.2 Exercises

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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) = \tan x\quad ?\quad\sin x+1=1
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
Answer
Answer 5.2:1
Solution a
Solution 5.2:1a
Solution b
Solution 5.2:1b
Solution c
Solution 5.2:1c

Exercise 5.2:2

Criticize the following excerpt from a solution written by a student.

Solution
Solution 5.2:2

Exercise 5.2:3

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Solution
Solution 5.2:3

Exercise 5.2:4

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Solution
Solution 5.2:4

Exercise 5.2:5

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Solution
Solution 5.2:5

Exercise 5.2:6

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Solution
Solution 5.2:6

Exercise 5.2:7

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Solution
Solution 5.2:7

Exercise 5.2:8

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Solution
Solution 5.2:8

Exercise 5.2:9

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Solution
Solution 5.2:9
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