Processing Math: 66%
To print higher-resolution math symbols, click the
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.
Use the jsMath control panel to get additional information.
jsMath Control PanelHide this Message


jsMath

5.1 Exercises

From Förberedande kurs i matematik 1

Jump to: navigation, search
       Theory          Exercises      

Exercise 5.1:1

Write the following formulas in LaTeX .

a) 23+4 b) 1+03
c) 5(3)=5+3 d) 52+15(2+1)

Exercise 5.1:2

Write the following formulas in LaTeX.

a) 344 b) 4x2x 
c) 43nn3 d) 3(52)=(3+52)

Exercise 5.1:3

Write the following formulas in LaTeX

a) x+1x21=1x1 b) x51(1x) 
c) 2131+41 d) 11+11+x

Exercise 5.1:4

Write the following formulas in LaTeX

a) sin2x+cosx b) cosv=cos23
c) cot2x=1tan2x d) tan2u=sinu1+cosu

Exercise 5.1:5

Write the following formulas in LaTeX

a) \displaystyle \sqrt{4+x^2} b) \displaystyle \sqrt[n]{x+y}\ne\sqrt[n]{x}+\sqrt[n]{y}
c) \displaystyle \sqrt{\sqrt{3}} = \sqrt[4]{3} d) \displaystyle \left(\sqrt[4]{3}\right)^3\sqrt[3]{2+\sqrt{2}}

Exercise 5.1:6

Write the following formulas in LaTeX

a) \displaystyle \ln(4\times 3)=\ln 4+\ln 3 b) \displaystyle \ln(4-3)\ne \ln 4-\ln 3
c) \displaystyle \log_{2}4 = \dfrac{\ln 4}{\ln 2} d) \displaystyle 2^{\log_{2}4} = 4

Exercise 5.1:7

Correct the following LaTeX maths code.

a) 4^{\frac{3}{4}}(1-(3-4)
b) 2*sqrt(a+b)
c) cotx = \dfrac{1}{2}Sin 20^{o}