a) Suppose that in the binomial expansion of (1 + m2)", where m and Kare non-zero constants, the coefficient of JL is 8 and the coefficient oF 2² is 30. Find m and K values. M = K = 3 Find the coefficient of IC in the above expansion. c) Given, (2+ax) (1 +bx)² = 2-41x + 357x³²... Where a and 6 are integers. Find a and 6 a = ? b = ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
6)
a)
Suppose that in the binomial expansion of (1+ moc)k, where m
and K are non-zero constants, the coefficient of JL is 8
and the coefficient oF 21² is 30. Find m and K values
M=
K =
?
1
?
3
х
b) Find the coefficient of i
in the above expansion.
7
c) Given, (2+ax) (1 +bx)² = 2-41x +357x².
Where a and 6 are integers.
Find a and 6
a =___?___
b = ?
Transcribed Image Text:6) a) Suppose that in the binomial expansion of (1+ moc)k, where m and K are non-zero constants, the coefficient of JL is 8 and the coefficient oF 21² is 30. Find m and K values M= K = ? 1 ? 3 х b) Find the coefficient of i in the above expansion. 7 c) Given, (2+ax) (1 +bx)² = 2-41x +357x². Where a and 6 are integers. Find a and 6 a =___?___ b = ?
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