1) 36 : 3 = 12 (км/ч)-V
2) 12-3= 9 (км/ч)-V
3)36:9=4 (ч)
Int {2}_{5} (x+3-x^2+6x-13) dx = int {2}_{5} (-x^2+7x-10) dx = -x^3/3 +7x^2/2 - 10x | {2}_{5} = -5^3/3 +7*5^2/2 - 10*5 - (-2^3/3 +7*2^2/2 - 10*2) = -125/3 + 175/2 - 50 +8/3 - 28/2 + 20 = -117/3 + 147/2 - 30 = (-234+441)/6 - 30 = 207/6 - 30 = 34.5 - 30 = 4.5
1
tga=-1⇒f`(x0)=-1
y=0,5sin2x+3sinx+x
y`=cos2x+3cosx+1=-1
2cos²x-1+3cosx+1+1=0
cosx=a
2a²+3a+1=0
D=9-8=1
a1=(-3-1)/4=-1⇒cosx=-1⇒x=π+2πn,n∈z
a2=(-3+1)/4=-1/2⇒cosx=-1/2⇒x=+-2π/3+2πk,k∈z
2
y=5-x+2√(x+2)
D(y)∈[-2;∞)
y`=-1+1/√(x+2)=(-√x+2 + 1)/√(x+2)=0
√x+2=1
x+2=1
x=-1
+ _
[-2]-------------(-1)------------------
возр убыв
3
sina<0 U tga>0⇒cosa>0
cosa=√(1-sin²a)=√(1-9/25)=4/5
cos(a+π/3)=cosa*cosπ/3-sinasinπ/3=4/5*1/2-(-3/5)*√3/2=(4+3√3)/10