1. в) -5:2<0
-2.5<0
2. a) -8*9=-72
б) -8,35*100 = -(8,35*100) = -835
в) -36:4 = -9
г) -60,4 : (-0,4) = 60,4 : 0,4 = 151
3. а) 10х=-5
х= - 
= -
б) х:(-0,2) = 8
х:(-
) = 8
-х*5 = 8
-5х = 8
х = -
4. а) -6,2*3 = -18,6
б) -19,68 : (-0,8) = 19,68 : 0,8 = 24,6
в) 16,32: (-16) = -(16,32: 16) = -1,02
5. а) 0,5*(-36)*2 = -(0,5*36*2)= -(18*2) = -36
б) -500*37,38(-2)*0,1 = 18690*2*0,1=1869*2=2
6. (0,8-2,86:2,6)*(3,04-7,02) = (0,8-1,43)(-3,98) = -0,63*(-3,98) = 2,5
7. |-3x-1.5| = 0.5
-3x-1.5 = 0.5 -3x-1.5 = -0.5
-3x= 0.5 + 1.5 -3x = -0.5 + 1.5
-3x = 2 -3x = 1
x= - 
x = -
Пошаговое объяснение:
1.
S=(2/3)*t³+t²-14t S=(2/3)*t³-(1/2)*t²-11x-8
V=S'=((2/3)*t³+t²-14t)'=2t²+2t-14 v=S'=((2/3)*t³-(1/2)*t²-11x-8)=2-14=t²-t-11
2t²+2t-14=2t²-t-11
2t-14=-t-11
3t=3 |÷3
t=1.
2.
y=2x²-12x+16 x₀=5 yk=? yn=?
yk=y₀+y'*(x-x₀)
y₀=2*5²-12*5+16=2*25-60+16=50-44=6.
y'=(2x²-12x+16)'=4x-12=4*5-12=20-12=8. ⇒
yk=6+8*(x-5)=6+8x-40=8x-34.
yk=8x-34.
yn=y₀-(1/y')*(x-5)= 6+(1/8)*(x-5)=6-(x/8)+5/8=-(x/8)+(53/8)=(53-x)/8.
yn=(53-x)/8.
3.
y=x²-8x+16 y=6-x S=?
x²-8x+16=6-x
x²-7x+10=0 D=9 √9=3
x₁=5 x₂=2.
S=₂∫⁵(6-x-(x²-7x+16)dx=₂∫⁵(6-x-x²+7x-16)dx=₂∫⁵(-x²+7x-10)dx=
=-x³/3+(7/2)*x²-10*x ₂|⁵=-5³/3+(7/2)*5² -10*5-(-2³/3+(7/2)*2²-10*2)=
=-(125/3)+3,5*25-50+(8/3)-7*4/2+20=-117/3+87,5-30-14=-39+43,5=4,5.
ответ: S=4,5 кв. ед.
4.
v=3t²-2t-1 t=5 S=?
s=₀∫⁵(3t²-2t-1)dx=t³-t²-t ₀|⁵=5³-5²-5=125-25-5=95.
s=95.
