Question

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Answer 1

1)

a=1

b=1

c=720

d=5040

e=2+6=8

f=1+24=25

g=6-2=4

h=1+1=2

i=2*6=12

j=1*120=120

l=24*2=48

2)

a=8!/8!*9=1/9

b=15*14*13!/13=15*14=210

c=4!/4!*5*6=1/30

d=6*5!/(5!2!)=6/2=3

e=8*7*6!/(4!6!)=56/24=28/12=7/3

f)2/24=1/12

3)

a) n*(n-1)!/(n-1)!=n

b) x*(x-1)*(x-2)/(x-2)!=x*(x-1)

c)

(n+1)*n!/n!=n+1

d)

(2x+2)*(2x+1)*(2x)!/(2x)!

(2x+2)*(2x+1)

4x²+2x+4x+2

4x²+6x+2

4)  

a ==>x=0 ou 1

b ==>x=4

c) x=6

d==>x=1 ou x=2

5)

a)

(n+1)*n*(n-1)!/(n-1)! =12

(n+1)*n=12

n²+n-12=0

n'=[-1+√(1+48)]/2=(-1+7)/2=3

n''=[-1-√(1+48)]/2=<0 , ñ existe fatorial negativo

n= 3 é a resposta

Answer 2

Resposta:

1)

a) 1

b) 1

c) 720

d) 5040

e) 25

g) 4

h) 2

i) 12

j) 120

k) 48

2)

a) 1/9

b) 210

c) 1/30

d) 3

e)7/3

f)1/12

3)

a) n

b) x² - x

c) n + 1

d) 4x² + 6x + 2

4)

a) 0 ou 1

b) 4

c) 6

d) 1 ou 2

5)

a) 3

Explicação passo-a-passo: