ED 2Semestre (1-31)

1) Agricultura atual Terra Nossa 20-10-10 10-10-20 100Kg 300Kg 100+300=400 20+30=50 (50/400)x100=12,5% 10+30=40 (40/400)x100=10% 10+60=70 (70/400)x100=17,5%

12,5-10-17,5

2) a=(y2-y1)/(x2-x1) 0=-2.35+b a=(60-0)/(5-35) b-70=0 a=60/-30 b=70 a=-2 y=-2x+70 2x=-y+70 x=-0,5y+35

3)h=-4,9t²+49 Taxa de variação Altura do prédio=49cm dh/dt=h'(t)=-9,8t 0=-4,9t²+49 4,9t²=49 t²=10 t=3,16s tempo de queda é de aproximadamente 3,2s

4)IB(t)=t²-24t+143

xv=-b/2a yv=-b²-4ac/4a xv=-(-24/2) yv=-(576-572/4) xv=12 yv=-4/4 yv=-1

tmin=12 IBmin=-1

5)Segmento AB AB=(1-(-2),-4-3) A=(-2,3) AB=(3,-7) B=(1,-4)

6)cos0º=1 v3=1,732 u.v.θ 45º=0,707 6.9.-0,866 90º=0 -46,764=-27v3 150º=-0,866 180º=-1

7)u+v u=2i+3j-k v=-i+2j u+v=i+5j-k

u.v u.v=2.-1i3.2j-1.0k u.v=-2i+6j Resposta:B

8)u=5i+2j-k v=-4i+2j+k

u.v=5.-4i2.2j-1.1k u.v=-20i+4j-k u.v=-20+4-1 u.v=-17

9)V(t)=15t²-750t+9000 V(3)=15(3)²-750(3)+9000 V(3)=135-2250+9000 V(3)=6885

10)ΔV/Δt=V'=2.15t-750 V'=30t-750 V'=30.3-750 V'=90-750 V'=660L/h

11)v(t)=-4,5t²+18t v'=-9t+18 v(t)=-4,5.(2)²+18.2 9t-18=0 v(t)=-18+36 9t=18 v(t)=18m/s t=2s

12)|u|=√(-3)²+4²+0² -0,6/-3=0,8/4 |u|=√9+16+0 -0,6.4=-3.0,8 |u|=√25 -2,4=-2,4 |u|=5 1=√(-0,6)²+0,8² 9/-3=-12/4 1=√0,36+0,64 4.9=-12.-3 1=√1 36=36 1=1 |u|=√9²+12² |u|=√81+144 |u|=√225 |u|=15

13)w=α.u+β.v (-17,12)=α.(-2,0)+β.(3,-4) (-17,12)=-2α+3β;-4β+0

-4β=12 -2α+3β=-17 -β=3 -2α+3.-3=-17 β=-3 -2α=-17+9 -2α=-8 α=4

14)AO+DE+PL+FQ+IH AO+OD+DM+ML+LP AP

15)AQ=AC+CG+GQ AQ=AC+AE+2/3GH AQ=AE+AC+2/3AB

16)u=(1,-2) 2u=(2,-4)

v=(-4,0) 4v=(-16,0)

2u-4v=(2-(-16),-4-0) 2u-4v=(18,-4)

u=(1,-2) |u+V|=√(-3)²+(-2)² v=(-3,0) |u+v|=√9+4 u+v=(-3,-2) |u+v|=√13

1/4=-2/0 8≠0

17) x+12/6=3/9 9(x+12)=3.6 9x+108=18 9x=-108+18 9x=-90 x=-10

18) |s|=√3²+(-6)² |s|=√9+36 |s|=√45 |s|=3√5

19) AB=(x2-x1,y2-y1) A(-1,3) B(0,-4) AB=(0-(-1),-4-3) AB=(1,-7)

1/4=-7/28