Question

Hei, cine stie sa le rezolve ? Ma puteti ajuta cu cateva?

Answer 1

[tex]44) Im(f)=[-\frac{\Delta}{4a},\infty),\text{ deoarece }a=1\ \textgreater \ 0 \\ \Delta=16-4m\\ -\frac{16-4m}{4}=m-4=3\Rightarrow m=7\\ 43)\sin x=\frac{2t}{1+t^2},t=\tan \frac{x}{2}\\ \frac{2t}{1+t^2}=-\frac{3}{15}\\ \text{obtinem ca t=-5 sau t=-1/5} [/tex]
40) sin(x)+√3cos(x)≤2⇔sin(x)+tg(π/3)cos(x)≤2⇔sin(x)+(sin(60)/cos(60))cos(x)≤2
Impartim la 2 inegalitatea si obtinem 
1/2sin(x)+sin(60)cosx≤1
Dar 1/2=cos(60),deci:
cos(60)sin(x)+sin(60)cosx≤1
sin(x+60)≤1 (A)
 

Answer 2

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