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Mathematical Methods by Pearson
book

Mathematical Methods by Pearson

by E. Rukmangadachari
May 2024
Intermediate to advanced content levelIntermediate to advanced
437 pages
17h 41m
English
Pearson India
Content preview from Mathematical Methods by Pearson
A-26 Mathematical Methods
13. The leading term in the Fourier series expan-
sion of f ( x) = x cos i in (p, p) is
(a) sin x (b)
1
sin
2
x
(c)
1
sin
2
x
(d) sin x Ans: (c)
14. The coef
fcients b
2n
= 0 in the Fourier series
expansion in (p, p) of the function f ( x) =
(a) | sin x| (b)
(,0)
(0
, )
k
k
p
p
−−
(c) x
2
(d) cos x Ans: (b)
15. If
(,0)
()
(0, )
fx
x
pp
p
−−
=
then the value of
f ( x)
at x = 0, w
hich is a point of discontinuity, is
(a)
2
p
(b)
2
p
(c) 0 (d) Not defined
Ans: (b)
16. If f ( x
) = |x| in (p, p) then the Fourier coeffcient
a
0
=
(a) p (b)
2
p
(c) 2p (d)
3
2
p
Ans: (a)
17. The function
1sin
() log
1sin
x
fx
x
+
=
in
(,),−∞
(2 1)
2
xn
p
≠+
, is________ ...
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Publisher Resources

ISBN: 9781299446557Publisher Website