5.2 Exercises - Förberedande kurs i matematik 1

                       Welcome to the course
                       
                        About the course 
                        Examinations
                      
                    
                      1. Numerical calculations
                       
                        1.1 Different types of numbers 
                        1.2 Fractions 
                        1.3 Powers
                      
                    
                      2. Algebra
                       
                        2.1 Algebraic expressions 
                        2.2 Linear expressions 
                        2.3 Quadratic expressions
                      
                    
                      3. Roots and logarithms
                       
                        3.1 Roots 
                        3.2 Equations with roots 
                        3.3 Logarithms 
                        3.4 Logarithmic equations
                      
                    
                      4. Trigonometry
                       
                        4.1 Angles and circles 
                        4.2 Functions 
                        4.3 Relations 
                        4.4 Equations
                      
                    
                      5. Written mathematics
                       
                        5.1 Writing formulas 
                        5.2 Mathematical text
                      
                    
                    
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			5.2 Exercises
			
			  From Förberedande kurs i matematik 1
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		Line 25:
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 ===Exercise 5.2:2===  ===Exercise 5.2:2===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_2_orig.png||center]]  [[Image:ex5_2_2_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:2}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:2}}
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 ===Exercise 5.2:3===  ===Exercise 5.2:3===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_3_orig.png||center]]  [[Image:ex5_2_3_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:3}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:3}}
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 ===Exercise 5.2:4===  ===Exercise 5.2:4===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_4_orig.png||center]]  [[Image:ex5_2_4_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:4}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:4}}
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 ===Exercise 5.2:5===  ===Exercise 5.2:5===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_5_orig.png||center]]  [[Image:ex5_2_5_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:5}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:5}}
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 ===Exercise 5.2:6===  ===Exercise 5.2:6===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_6_orig.png||center]]  [[Image:ex5_2_6_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:6}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:6}}
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 ===Exercise 5.2:7===  ===Exercise 5.2:7===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_7_orig.png||center]]  [[Image:ex5_2_7_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:7}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:7}}
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 ===Exercise 5.2:8===  ===Exercise 5.2:8===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_8_orig.png||center]]  [[Image:ex5_2_8_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:8}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:8}}
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 ===Exercise 5.2:9===  ===Exercise 5.2:9===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_9_orig.png||center]]  [[Image:ex5_2_9_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:9}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:9}}
Revision as of 08:14, 29 January 2009


  
  
  
  Theory
  
  
  
  
  Exercises
  
  
  

 Exercise 5.2:1

Which of the arrows ,  or  should you insert between the following equations? (Instead of the question mark.) 



a)
 tanx(sinx+1)=2tanx ?sinx+1=2


b)
 x−1=x+1 ?x−1=(x+1)2 


c)
 x2−6x+1=0 ?(x−3)2−9+1=0




Answer | 
Solution




Answer


Answer 5.2:1  Loading...



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Solution


Solution 5.2:1  Loading...



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 Exercise 5.2:2

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





Solution




Solution


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 Exercise 5.2:3

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





Solution




Solution


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 Exercise 5.2:4

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





Solution




Solution


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 Exercise 5.2:5

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





Solution




Solution


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 Exercise 5.2:6

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





Solution




Solution


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 Exercise 5.2:7

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





Solution




Solution


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 Exercise 5.2:8

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





Solution




Solution


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 Exercise 5.2:9

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





Solution




Solution


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Retrieved from "http://wiki.math.se/wikis/2009/bridgecourse1-ImperialCollege/index.php/5.2_Exercises"
                       Welcome to the course
                       
                        About the course 
                        Examinations
                      
                    
                      1. Numerical calculations
                       
                        1.1 Different types of numbers 
                        1.2 Fractions 
                        1.3 Powers
                      
                    
                      2. Algebra
                       
                        2.1 Algebraic expressions 
                        2.2 Linear expressions 
                        2.3 Quadratic expressions
                      
                    
                      3. Roots and logarithms
                       
                        3.1 Roots 
                        3.2 Equations with roots 
                        3.3 Logarithms 
                        3.4 Logarithmic equations
                      
                    
                      4. Trigonometry
                       
                        4.1 Angles and circles 
                        4.2 Functions 
                        4.3 Relations 
                        4.4 Equations
                      
                    
                      5. Written mathematics
                       
                        5.1 Writing formulas 
                        5.2 Mathematical text
                      
                    
                    
		       Search
		       
		         

                           
                            
			 
		       
		    
		    
		  
		  
		  
		    
		      Processing Math: Done
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			5.2 Exercises
			
			  From Förberedande kurs i matematik 1
			  (Difference between revisions)
			  			                            Jump to: navigation, search
                          
		          
			
			
			
			
			
			
				Revision as of 15:27, 27 January 2009 (edit)
Tek  (Talk | contribs)
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				Revision as of 08:14, 29 January 2009 (edit) (undo)
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		Line 25:
Line 25:
 ===Exercise 5.2:2===  ===Exercise 5.2:2===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_2_orig.png||center]]  [[Image:ex5_2_2_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:2}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:2}}
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 ===Exercise 5.2:3===  ===Exercise 5.2:3===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_3_orig.png||center]]  [[Image:ex5_2_3_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:3}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:3}}
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 ===Exercise 5.2:4===  ===Exercise 5.2:4===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_4_orig.png||center]]  [[Image:ex5_2_4_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:4}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:4}}
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 ===Exercise 5.2:5===  ===Exercise 5.2:5===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_5_orig.png||center]]  [[Image:ex5_2_5_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:5}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:5}}
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 ===Exercise 5.2:6===  ===Exercise 5.2:6===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_6_orig.png||center]]  [[Image:ex5_2_6_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:6}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:6}}
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 ===Exercise 5.2:7===  ===Exercise 5.2:7===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_7_orig.png||center]]  [[Image:ex5_2_7_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:7}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:7}}
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 ===Exercise 5.2:8===  ===Exercise 5.2:8===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_8_orig.png||center]]  [[Image:ex5_2_8_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:8}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:8}}
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 ===Exercise 5.2:9===  ===Exercise 5.2:9===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_9_orig.png||center]]  [[Image:ex5_2_9_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:9}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:9}}
Revision as of 08:14, 29 January 2009


  
  
  
  Theory
  
  
  
  
  Exercises
  
  
  

 Exercise 5.2:1

Which of the arrows ,  or  should you insert between the following equations? (Instead of the question mark.) 



a)
 tanx(sinx+1)=2tanx ?sinx+1=2


b)
 x−1=x+1 ?x−1=(x+1)2 


c)
 x2−6x+1=0 ?(x−3)2−9+1=0




Answer | 
Solution




Answer


Answer 5.2:1  Loading...



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Solution


Solution 5.2:1  Loading...



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 Exercise 5.2:2

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





Solution




Solution


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 Exercise 5.2:3

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





Solution




Solution


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 Exercise 5.2:4

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





Solution




Solution


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 Exercise 5.2:5

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





Solution




Solution


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 Exercise 5.2:6

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





Solution




Solution


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 Exercise 5.2:7

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





Solution




Solution


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 Exercise 5.2:8

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





Solution




Solution


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 Exercise 5.2:9

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





Solution




Solution


Solution 5.2:9  Loading...



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Retrieved from "http://wiki.math.se/wikis/2009/bridgecourse1-ImperialCollege/index.php/5.2_Exercises"
-                      Welcome to the course
                       
                        About the course 
                        Examinations
                      
                    
                      1. Numerical calculations
                       
                        1.1 Different types of numbers 
                        1.2 Fractions 
                        1.3 Powers
                      
                    
                      2. Algebra
                       
                        2.1 Algebraic expressions 
                        2.2 Linear expressions 
                        2.3 Quadratic expressions
                      
                    
                      3. Roots and logarithms
                       
                        3.1 Roots 
                        3.2 Equations with roots 
                        3.3 Logarithms 
                        3.4 Logarithmic equations
                      
                    
                      4. Trigonometry
                       
                        4.1 Angles and circles 
                        4.2 Functions 
                        4.3 Relations 
                        4.4 Equations
                      
                    
                      5. Written mathematics
                       
                        5.1 Writing formulas 
                        5.2 Mathematical text
                      
                    
                    
		       Search
+		      Processing Math: Done
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Hi-Res Fonts for Printing button on the jsMath control panel.

No jsMath TeX fonts found -- using image fonts instead.

These may be slow and might not print well.

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			5.2 Exercises
			
			  From Förberedande kurs i matematik 1
			  (Difference between revisions)
			  			                            Jump to: navigation, search
                          
		          
			
			
			
			
			
			
				Revision as of 15:27, 27 January 2009 (edit)
Tek  (Talk | contribs)
← Previous diff
				Revision as of 08:14, 29 January 2009 (edit) (undo)
Tek  (Talk | contribs) 
m 
Next diff →
			
		Line 25:
Line 25:
 ===Exercise 5.2:2===  ===Exercise 5.2:2===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_2_orig.png||center]]  [[Image:ex5_2_2_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:2}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:2}}
Line 32:
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 ===Exercise 5.2:3===  ===Exercise 5.2:3===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_3_orig.png||center]]  [[Image:ex5_2_3_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:3}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:3}}
Line 39:
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 ===Exercise 5.2:4===  ===Exercise 5.2:4===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_4_orig.png||center]]  [[Image:ex5_2_4_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:4}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:4}}
Line 46:
Line 46:
 ===Exercise 5.2:5===  ===Exercise 5.2:5===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_5_orig.png||center]]  [[Image:ex5_2_5_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:5}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:5}}
Line 53:
Line 53:
 ===Exercise 5.2:6===  ===Exercise 5.2:6===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_6_orig.png||center]]  [[Image:ex5_2_6_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:6}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:6}}
Line 60:
Line 60:
 ===Exercise 5.2:7===  ===Exercise 5.2:7===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_7_orig.png||center]]  [[Image:ex5_2_7_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:7}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:7}}
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Line 67:
 ===Exercise 5.2:8===  ===Exercise 5.2:8===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_8_orig.png||center]]  [[Image:ex5_2_8_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:8}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:8}}
Line 74:
Line 74:
 ===Exercise 5.2:9===  ===Exercise 5.2:9===
 <div class="ovning">  <div class="ovning">
- Criticize the following excerpt from a solution made by a student. + Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_9_orig.png||center]]  [[Image:ex5_2_9_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:9}}  </div>{{#NAVCONTENT:Solution|Solution 5.2:9}}
Revision as of 08:14, 29 January 2009


  
  
  
  Theory
  
  
  
  
  Exercises
  
  
  

 Exercise 5.2:1

Which of the arrows ,  or  should you insert between the following equations? (Instead of the question mark.) 



a)
 tanx(sinx+1)=2tanx ?sinx+1=2


b)
 x−1=x+1 ?x−1=(x+1)2 


c)
 x2−6x+1=0 ?(x−3)2−9+1=0




Answer | 
Solution




Answer


Answer 5.2:1  Loading...



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Solution


Solution 5.2:1  Loading...



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 Exercise 5.2:2

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





Solution




Solution


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 Exercise 5.2:3

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





Solution




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 Exercise 5.2:4

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





Solution




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 Exercise 5.2:5

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





Solution




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 Exercise 5.2:6

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





Solution




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 Exercise 5.2:7

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





Solution




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 Exercise 5.2:8

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





Solution




Solution


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 Exercise 5.2:9

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





Solution




Solution


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Retrieved from "http://wiki.math.se/wikis/2009/bridgecourse1-ImperialCollege/index.php/5.2_Exercises"
 To print higher-resolution math symbols, click the

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@@ Line 25: / Line 25: @@
 ===Exercise 5.2:2===
 <div class="ovning">
-Criticize the following excerpt from a solution made by a student.
+Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_2_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:2}}
@@ Line 32: / Line 32: @@
 ===Exercise 5.2:3===
 <div class="ovning">
-Criticize the following excerpt from a solution made by a student.
+Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_3_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:3}}
@@ Line 39: / Line 39: @@
 ===Exercise 5.2:4===
 <div class="ovning">
-Criticize the following excerpt from a solution made by a student.
+Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_4_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:4}}
@@ Line 46: / Line 46: @@
 ===Exercise 5.2:5===
 <div class="ovning">
-Criticize the following excerpt from a solution made by a student.
+Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_5_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:5}}
@@ Line 53: / Line 53: @@
 ===Exercise 5.2:6===
 <div class="ovning">
-Criticize the following excerpt from a solution made by a student.
+Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_6_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:6}}
@@ Line 60: / Line 60: @@
 ===Exercise 5.2:7===
 <div class="ovning">
-Criticize the following excerpt from a solution made by a student.
+Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_7_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:7}}
@@ Line 67: / Line 67: @@
 ===Exercise 5.2:8===
 <div class="ovning">
-Criticize the following excerpt from a solution made by a student.
+Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_8_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:8}}
@@ Line 74: / Line 74: @@
 ===Exercise 5.2:9===
 <div class="ovning">
-Criticize the following excerpt from a solution made by a student.
+Criticize the following excerpt from a solution written by a student.
 [[Image:ex5_2_9_orig.png||center]]
 </div>{{#NAVCONTENT:Solution|Solution 5.2:9}}
-  Theory
+  Exercises
-a)
+ tanx(sinx+1)=2tanx ?sinx+1=2
-b)
+ x−1=x+1 ?x−1=(x+1)2
-c)
+ x2−6x+1=0 ?(x−3)2−9+1=0