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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
10-26 Mathematical Methods
Ans:
1
2
22
1
(1) cos
816
4
3
n
n
nx
l
x
n
p
p
=
−=+
5. f (x) = x
2
2 in (2, 2)
Ans:
2
222
2
216 1 1 3
2 cos cos cos
32 2
23
1
cos2
4
x
xx
x
pp
p
p
p
−=−− +
−+
x
6. f (x) = cosh x in (p, p)
Ans:
2
1
2sin 1 (( 1) 1)
cos cos
2
1
n
n
hx nx
n
p
p
=
⎛⎞
−−
=+
⎜⎟
+
⎝⎠
h
7. f (x) = |sin x| in (p, p)
Ans:
2 4 cos2 cos 4 cos6
sin
1.3 3.5 5.7
xxx
x
pp
⎛⎞
=− + + +
⎜⎟
⎝⎠
8.
2
1, 0
()
2
1,0
x
x
fx
x
x
p
p
p
p
+−≤≤
=
−≤≤
Ans:
22
1
8cos(21)
()
(2 1)
n
nx
fx
np
=
⎛⎞
=
⎜⎟
⎝⎠
9.
−≤<−
=−
<<
<<
0, 2 1
() , 1 1
0, 1 2
x
fx k x
x
Ans:
21315
( ) cos cos cos
223252
17
cos
72
kk x x x
fx
x
ppp
p
p
=+ +
−+
10.
+−<<
=
−<<
,0
2
()
,0
2
xx
fx
xx
p
p
p
p
Deduce that
2
2222
1111
8
1357
p
++++=
.
Ans:
2
4cos
()
n odd
nx
fx
n
p
=
10.10 ...
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Publisher Resources

ISBN: 9781299446557Publisher Website