16)1
24)x+4>0 U x+4≠1⇒x>-4 U x≠-3⇒x∈(-≈;-3) U (-3;≈)
25)x+2=log(5)7⇒x=log(5)7 -2
1)y`=-sinx* (-1/(1+e²) + 3/xln5=sinx/(1+e²) + 3/xln5
2)log(4)192 -log(4)3=log(4)192/3=log(4)64=3
3)u=x+2⇒du=dx
dv=sinxdx⇒v=-cosx
S(x+2)sinxdx=-(x+2)cosx+Scosxdx=-(x+2)cosx+sinx+C
4)t=lnx⇒dt=dx/x
S(от 1 до 2)∛lnx/x dx=S∛tdt=3/4*t∛t=3/4*lnx∛lnx=3/4(ln2∛ln2-ln1∛ln1)=
=3/4(ln2∛ln2 -0)=3/4*ln2∛ln2
5)lim(√x+6 -4)/(x-10)=lim(√x+6 -4)/(√x+6 -4)(√x+6 +4)=lim1/(√x+6 +4)=
=1/√16 +4)=1/(4+4)=1/8
Тебе отправили 1-16,2-17,3-18,4-19,5-20)
21)(6-3i)(4i=3)/(4i+3)(4i-3)=(24i+18-12i²-9i)/(16i²-9)=
=(30+15i)/(-16-9)=5(6+3i)/(-25)=-(6+3i)/5
22)5*(1/2+√3/2i)/2(√2/2+√2/2i)=5*1/2(1+√3i)/2*√2/2(1+1)=
=5(1+√3i)(1-i)/2√2(1+i)(1-1)=5(1-i+3i-3i²)/2√2(1-i²)=5(4+2i)/2√2*2=10(2+i)/4√2=5(2+i)/2√2
23-не умею.