Ed unip 2 semestre

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