5.1 Exercises
From Förberedande kurs i matematik 1
| Theory | Exercises |
Exercise 5.1:1
Write the formulas in TeX , you can test your text in the editor to your individual assignment.
| 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
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Exercise 5.1:2
Write the formulas in TeX
| a) | \displaystyle \cos{v} = \cos{\displaystyle \frac{3\pi}{2}} | b) | \displaystyle \tan\displaystyle\frac{u}{2}=\frac{\sin u}{1+\cos u} |
| c) | \displaystyle \left\{\eqalign{
x&=n\pi\cr x&=\displaystyle \frac{\pi}{4}+\displaystyle \frac{n\pi}{2} }\right. | d) | \displaystyle \bigl(\sqrt[\scriptstyle4]3\,\bigr)^3\ \sqrt{2 + \sqrt{4}} |
Answer
Exercise 5.1:3
Write the formulas in TeX
| a) | \displaystyle x^3y^2\left(\displaystyle \frac{1}{y} - \frac{1}{xy}+1\right) | b) | \displaystyle \left(x-y+\displaystyle\frac{x^2}{y-x}\right) \left(\displaystyle\frac{y}{2x-y}-1\right) |
| c) | \displaystyle \displaystyle\frac{a-b+\displaystyle\frac{b^2}{a+b}}{1-\left(\displaystyle\frac{a-b}{a+b}\right)^2} | d) | \displaystyle \displaystyle \frac{1}{1+\displaystyle \frac{1}{1+\displaystyle \frac{1}{1+x}}} |
Answer
