5. Exercises

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===Exercise 5:1===
===Exercise 5:1===
<div class="ovning">
<div class="ovning">
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Work out (without the help of a calculator)
+
Write the formulas in TeX
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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|width="50%" | <math>3-7-4+6-5</math>
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|width="50%" | <math>\displaystyle\frac{a+b}{d-c}</math>
|b)
|b)
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|width="50%" | <math>3-(7-4)+(6-5)</math>
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|width="50%" | <math>\sqrt{3}</math>
|-
|-
|c)
|c)
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|| <math>3-(7-(4+6)-5)</math>
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|| <math>4x^2 - x</math>
|d)
|d)
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|| <math>3-(7-(4+6))-5</math>
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|| <math>\sin^2 x + \cos x</math>
|}
|}
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</div>{{#NAVCONTENT:Answer|Answer 5.1:1|Solution a|Solution 5.1:1a|Solution b|Solution 5.1:1b|Solution c|Solution 5.1:1c|Solution d|Solution 5.1:1d}}
+
</div>{{#NAVCONTENT:Answer|Answer 5.1:1}}

Revision as of 15:05, 20 January 2009

       Theory          Exercises      


Exercise 5:1

Write the formulas in TeX

a) \displaystyle \displaystyle\frac{a+b}{d-c} b) \displaystyle \sqrt{3}
c) \displaystyle 4x^2 - x d) \displaystyle \sin^2 x + \cos x
Answer
Answer 5.1:1


Exercise 5:2

Simplify

a) \displaystyle (3-(7-4))(6-5) b) \displaystyle 3-(((7-4)+6)-5)
c) \displaystyle 3\cdot(-7)-4\cdot(6-5) d) \displaystyle 3\cdot(-7)-(4+6)/(-5)
Answer
Answer 5.1:2
Solution a
Solution 5.1:2a
Solution b
Solution 5.1:2b
Solution c
Solution 5.1:2c
Solution d
Solution 5.1:2d
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