-38. 4*2. -38+8
----- + -------=--------=-3
10. 5*2. 10
-3*(-1,2)=3,6
<span>y = - 3tgx + 6x - 1,5П + 8 на отрезке [-П/3;П/3]
y`=-3/cos</span>²x+6=0
cos²x=1/2
(1+cos2x)/2=1/2
1+cos2x=1
cos2x=0
2x=π/2+πk
x=π/4+πk/2,k∈z
k=-1 x=-π/4∈[-π/3;π/3]
k=0 x=π/4∈[-π/3;π/3]
y(-π/3)=-3*(-√3)-2π-1,5π+8≈5-7,5+8=5,5 наибольшее
y(-π/4)=3-1,5π-1,5π+8≈11-9=2
y(π/4)=-3+1,5π-1,π+8=5
y(π/3)=-3√3+2π-1,5π+8≈4,4
F(x)=(2x-1)⁶
f '(x) = 6(2x-1)⁵·(2x-1)'=12(2x-1)⁵
f '(1)=12(2·1-1)⁵=12
S1=x²
S2=(x+6)(x-2)
S2-S1=28
(x+6)(x-2)-x²=28
x²-2x+6x-12-x²=28
4x=28+12
4x=40
x=10
P1=4*x=40
периметр квадрата 40см