4. In Aa group of n omen and n wowen, how many trere to arronge the se þeople are ways in F the men and women alternate. a row

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. In Aa group of n
omen and
n wowen, how many
trere to aronge these people
are
ways
in
f the men and women alternate.
a row
5. Let S be
the set of all bosrtive integers
which
divisoro
of 64. Prore that
(s, <) is
a þoset whert
a s b means that
is a
divigor of b, ter a,b ES,
a
that s
is linearly ordered
More over, show
set.
Transcribed Image Text:4. In Aa group of n omen and n wowen, how many trere to aronge these people are ways in f the men and women alternate. a row 5. Let S be the set of all bosrtive integers which divisoro of 64. Prore that (s, <) is a þoset whert a s b means that is a divigor of b, ter a,b ES, a that s is linearly ordered More over, show set.
Digital ausiqnment- I.
J.
Let f: Ra R be defined by
f(x) =
X-1
Prove that f is continuous at each xER,
x71. Is f continueus at z=1?
Justify your anower.
2.
Find the critical points, points of maxima,
minima (F exist), intervals of increase, decrease,
intervals of comvexity, concavity and the
paints of inflexion of the following function
(1) y= x3- 3x²+9x+9
log z
Y= x +
3. Let R be the regien bounded
by the lines
and te curve y=et.
Find the volume of hue solid of revolution
x=0, x=,
y=0
obtained by revoluing R about y. aais.
Transcribed Image Text:Digital ausiqnment- I. J. Let f: Ra R be defined by f(x) = X-1 Prove that f is continuous at each xER, x71. Is f continueus at z=1? Justify your anower. 2. Find the critical points, points of maxima, minima (F exist), intervals of increase, decrease, intervals of comvexity, concavity and the paints of inflexion of the following function (1) y= x3- 3x²+9x+9 log z Y= x + 3. Let R be the regien bounded by the lines and te curve y=et. Find the volume of hue solid of revolution x=0, x=, y=0 obtained by revoluing R about y. aais.
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