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serenityjohnson98765
12.03.2020 •
Mathematics
The Parliament of a certain country is choosing 5 of its 100 members to serve on a Ways and Means Committee. Three of these committee members will be office holders (chair, vice-chair, and secretary). The other two will not be assigned positions on the committee. How many ways are there to choose this committee
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Ответ:
1/30
Step-by-step explanation:
∫[0,4] arcsin(x/4) dx = 2π-4
x = 4sin(u)
arcsin(x/4) = arcsin(sin(u)) = u
dx = 4cos(u) du
∫[0,4] 4u cos(u) du
∫[0,4] f(x) dx = ∫[0,π/2] g(u) du
v = ∫[1,e] π(R^2-r^2) dx
where R=2 and r=lnx+1
v = ∫[1,e] π(4-(lnx + 1)^2) dx
Using shells dy
v = ∫[0,1] 2πrh dy
where r = y+1 and h=x-1=e^y-1
v = ∫[0,1] 2π(y+1)(e^y-1) dy
v = ∫[0,1] (x-x^2)^2 dx = 1/30