III (J ) (1 4 Determine the value of the term independent of x in the expansion of: 5 20)(1 (1 - 4)° 6. b (1 -) a (1 + 2x)*

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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are équál. Finu tme valuc
b When (1 + x)’ is expanded in increasing powers of x, the sixth term is the aver
seventh terms in the expansion. Find the value of x.
13 Find the coefficient of:
a x in (3 – 4x) (1 + x)*
b x in (1 + 3x + x²) (1
c x* in (5 – 2xr³) (1 + 2x)'
d x° in
1 +
1
14 Determine the value of the term independent of x in the expansion of:
+ 2x)* (1
• (1 - )'(1 + )
a (1
15 a In the expansion of (1 + x)°:
i find the term in x²,
ii find the term in x',
iii find the ratio of the term in x² to the term in x',
iv find the values of i, ii and iii when x = 3.
%3D
2
b In the expansion of 1 +
3x
-5
i ind the term in x,
Transcribed Image Text:are équál. Finu tme valuc b When (1 + x)’ is expanded in increasing powers of x, the sixth term is the aver seventh terms in the expansion. Find the value of x. 13 Find the coefficient of: a x in (3 – 4x) (1 + x)* b x in (1 + 3x + x²) (1 c x* in (5 – 2xr³) (1 + 2x)' d x° in 1 + 1 14 Determine the value of the term independent of x in the expansion of: + 2x)* (1 • (1 - )'(1 + ) a (1 15 a In the expansion of (1 + x)°: i find the term in x², ii find the term in x', iii find the ratio of the term in x² to the term in x', iv find the values of i, ii and iii when x = 3. %3D 2 b In the expansion of 1 + 3x -5 i ind the term in x,
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