Mathematics, 26.10.2019 05:43, ariano76
Let n be a positive integer.
(a) prove that
n^3 = n + 3n(n - 1) + 6 c(n, 3) by counting the number of ordered triples (a, b,c), where 1 < = a, b, c < = n, in two different ways.
(b) prove that
c(n + 2, 3) = (1)(n) + (2)(n - 1) + (3)(n - 2) + . . + (k)(n - k + 1) + . . + (n)(1), by counting the number of subsets of {1, 2, 3, . ., n + 2} containing three different numbers in two different ways.
Answers: 3
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Answers: 3
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Find the volume of the described solid. the solid lies between planes perpendicular to the x-axis at x = 0 and x=7. the cross sectionsperpendicular to the x-axis between these planes are squares whose bases run from the parabolay=-31x to the parabola y = 30/x. a) 441b) 147c) 864d) 882
Answers: 1
Mathematics, 21.06.2019 18:30, jeffreyaxtell4542
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Mathematics, 21.06.2019 19:00, rodriguezzamyy
There is an entrance to the computer room at point e which lies on ab and is 5 feet from point a. plot point e on the coordinate plane. find the distance from the entrance at point e to the printer at point e
Answers: 1
Let n be a positive integer.
(a) prove that
n^3 = n + 3n(n - 1) + 6 c(n, 3) by cou...
(a) prove that
n^3 = n + 3n(n - 1) + 6 c(n, 3) by cou...
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