Processing Math: Done
4.1 Exercises
From Förberedande kurs i matematik 1
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|width="50%" | <math>\displaystyle \frac{97}{12} \textrm{ revolution} </math> | |width="50%" | <math>\displaystyle \frac{97}{12} \textrm{ revolution} </math> | ||
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| - | </div>{{#NAVCONTENT:Answer|Answer 4.1:1|Solution | | + | </div>{{#NAVCONTENT:Answer|Answer 4.1:1|Solution |Solution 4.1:1}} |
===Exrecise 4.1:2=== | ===Exrecise 4.1:2=== | ||
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|width="25%" | <math>270^\circ</math> | |width="25%" | <math>270^\circ</math> | ||
|} | |} | ||
| - | </div>{{#NAVCONTENT:Answer|Answer 4.1:2|Solution | | + | </div>{{#NAVCONTENT:Answer|Answer 4.1:2|Solution |Solution 4.1:2}} |
===Exercise 4.1:3=== | ===Exercise 4.1:3=== | ||
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|width="33%" | {{:4.1 - Figur - Rätvinklig triangel med sidor 8, x och 17}} | |width="33%" | {{:4.1 - Figur - Rätvinklig triangel med sidor 8, x och 17}} | ||
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| - | </div>{{#NAVCONTENT:Answer|Answer 4.1:3|Solution a| | + | </div>{{#NAVCONTENT:Answer|Answer 4.1:3|Solution a|Solution 4.1:3a|Solution b|Solution 4.1:3b|Solution c|Solution 4.1:3c}} |
===Exercise 4.1:4=== | ===Exercise 4.1:4=== | ||
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|width="100%" | Find the point on the x-axis which lies as far from the point (3,3) as from (5,1). | |width="100%" | Find the point on the x-axis which lies as far from the point (3,3) as from (5,1). | ||
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| - | </div>{{#NAVCONTENT:Answer|Answer 4.1:4|Solution a| | + | </div>{{#NAVCONTENT:Answer|Answer 4.1:4|Solution a|Solution 4.1:4a|Solution b|Solution 4.1:4b|Solution c|Solution 4.1:4c}} |
===Exercise 4.1:5=== | ===Exercise 4.1:5=== | ||
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|width="100%" | Determine the equation of a circle having its centre at (2,-1) and which contains the point (-1,1). | |width="100%" | Determine the equation of a circle having its centre at (2,-1) and which contains the point (-1,1). | ||
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| - | </div>{{#NAVCONTENT:Answer|Answer 4.1:5|Solution a| | + | </div>{{#NAVCONTENT:Answer|Answer 4.1:5|Solution a|Solution 4.1:5a|Solution b|Solution 4.1:5b}} |
===Exercise 4.1:6=== | ===Exercise 4.1:6=== | ||
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|width="50%" | <math>(3x-1)^2+(3y+7)^2=10</math> | |width="50%" | <math>(3x-1)^2+(3y+7)^2=10</math> | ||
|} | |} | ||
| - | </div>{{#NAVCONTENT:Answer|Answer 4.1:6|Solution a| | + | </div>{{#NAVCONTENT:Answer|Answer 4.1:6|Solution a|Solution 4.1:6a|Solution b|Solution 4.1:6b|Solution c|Solution 4.1:6c}} |
===Exercise 4.1:7=== | ===Exercise 4.1:7=== | ||
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|width="50%" | <math>x^2-2x+y^2+2y=-2</math> | |width="50%" | <math>x^2-2x+y^2+2y=-2</math> | ||
|} | |} | ||
| - | </div>{{#NAVCONTENT:Answer|Answer 4.1:7|Solution a| | + | </div>{{#NAVCONTENT:Answer|Answer 4.1:7|Solution a|Solution 4.1:7a|Solution b|Solution 4.1:7b|Solution c|Solution 4.1:7c|Solution d|Solution 4.1:7d}} |
===Exercise 4.1:8=== | ===Exercise 4.1:8=== | ||
<div class="ovning"> | <div class="ovning"> | ||
How many revolutions does a wheel of radius 50 cm make when it rolls 10m? | How many revolutions does a wheel of radius 50 cm make when it rolls 10m? | ||
| - | </div>{{#NAVCONTENT:Answer|Answer 4.1:8|Solution| | + | </div>{{#NAVCONTENT:Answer|Answer 4.1:8|Solution|Solution 4.1:8}} |
===Exercise 4.1:9=== | ===Exercise 4.1:9=== | ||
<div class="ovning"> | <div class="ovning"> | ||
On a clock, the second hand is 8 cm long. How large an area does it sweep through in 10 seconds? | On a clock, the second hand is 8 cm long. How large an area does it sweep through in 10 seconds? | ||
| - | </div>{{#NAVCONTENT:Answer|Answer 4.1:9|Solution| | + | </div>{{#NAVCONTENT:Answer|Answer 4.1:9|Solution|Solution 4.1:9}} |
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<center> {{:4.1 - Figur - Tvättlina med kavaj på galge}} </center> | <center> {{:4.1 - Figur - Tvättlina med kavaj på galge}} </center> | ||
| - | </div>{{#NAVCONTENT:Answer|Answer 4.1:10|Solution| | + | </div>{{#NAVCONTENT:Answer|Answer 4.1:10|Solution|Solution 4.1:10}} |
Revision as of 11:21, 9 September 2008
| Theory | Exercises |
Exercise 4.1:1
Write in degrees and radians
| a) | | b) | |
| c) | | d) | |
Loading...Exrecise 4.1:2
Transform to radians
| a) |  | b) | | c) | | d) | |
Exercise 4.1:3
Determine the length of the side marked
| a) | b) | 4.1 - Figur - Rätvinklig triangel med sidor 12, x och 13 | c) | 4.1 - Figur - Rätvinklig triangel med sidor 8, x och 17 |
Answer | Solution a | Solution b | Solution c
Exercise 4.1:4
| a) | Determine the distance between the points (1,1) and (5,4). |
| b) | Determine the distance between the points(-2,5) and (3,-1). |
| c) | Find the point on the x-axis which lies as far from the point (3,3) as from (5,1). |
Answer | Solution a | Solution b | Solution c
Exercise 4.1:5
| a) | Determine the equation of a circle having its centre at (1,2) and radius 2. |
| b) | Determine the equation of a circle having its centre at (2,-1) and which contains the point (-1,1). |
Exercise 4.1:6
Sketch the following circles
| a) | | b) | |
| c) | |
Answer | Solution a | Solution b | Solution c
Exercise 4.1:7
Sketch the following circles
| a) | | b) | |
| c) | | d) | |
Answer | Solution a | Solution b | Solution c | Solution d
Exercise 4.1:8
How many revolutions does a wheel of radius 50 cm make when it rolls 10m?
Exercise 4.1:9
On a clock, the second hand is 8 cm long. How large an area does it sweep through in 10 seconds?
Exercise 4.1:10
A washing line of length 5.4 m hangs between two vertical trees that are at a distance of 4.8 m from each other. One end of the line is fixed 0.6 m higher than the other, and a jacket hangs from a
hanger 1.2 m from the tree where the line has its lower point of attachment. Determine how far below the
lower attachement point the hanger is hanging. (That is, the distance
