1. s(t)=t⁴+2t
v(t)=s'(t), s'(t)=(x⁴+2t)'=3t³+2
v(t)=4t³+2, v(2)=4*2³+2=32
v(2)=34 м/сек
a(t)=s''(t), s''(t)=(x⁴+2t)''=(4t³+2)'=12t²
a(t)12t², a(2)=12*2²=48
a(2)=48м/сек²
2. S(x²-4x)dx=x³/3-4x²/2+C=x³/3-2x²+C
3. a(2;-1;1), b(0;3;-1)
|a|=√(2²+(-1)²+1²)=√6
|b|=√(0²+3²+(-1)²)=√10
cosα= [2*0+(-1)*3+1*(-1)] / [ √6*√10]
cosα=-4/√60
cosα=-2/√15