1.
(x-1)(x+5)(x-1)²/((x-3)²(x-8)⁴(x+3))≥0
ОДЗ: x-3≠0 x≠3 x-8≠0 x≠8 x+3≠= x≠-3
Так как (x-3)²>0 (x-8)⁴>0 ⇒
-∞_____-_____-5_____+_____-3_____-_____1_____+_____+∞
x∈[-5;-3)U[1;3)U(3;8)U(8;+∞).
2.f`(x)=(log₅(sinx⁵))`=(5*log₅sinx)`=5*(1/(sinx*ln5))*cosx=
=5*cosx/(sinx*ln5)=5*ctgx/ln5.
3. 132*8,5/100=1122/100=11,22.