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4. What is the coefficient of x? a) in (1 + 2x)117 b) in (2 – x)13? c) in (5 – 2x + y)'1, where y is another variable? d) in (x – 1)", where r> 7 and r € Z?

4. What is the coefficient of x? a) in (1 + 2x)117 b) in (2 – x)13? c) in (5 – 2x + y)'1, where y is another variable? d) in (x – 1)", where r> 7 and r € Z?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Show that if n is a positive integer, then (*") = 2(;) + n². a) Using a combinatorial argument. (Hint: choose two elements from the set {a,, az, ., „} U {b,,b2, ..., bn}) b) By algebraic manipulation.
Transcribed Image Text:3. Show that if n is a positive integer, then (*") = 2(;) + n². a) Using a combinatorial argument. (Hint: choose two elements from the set {a,, az, ., „} U {b,,b2, ..., bn}) b) By algebraic manipulation.
4. What is the coefficient of x? a) in (1 + 2x)117 b) in (2 – x)13? c) in (5 – 2x + y)'1, where y is another variable? d) in (x – 1)", where r> 7 and r € Z?
Transcribed Image Text:4. What is the coefficient of x? a) in (1 + 2x)117 b) in (2 – x)13? c) in (5 – 2x + y)'1, where y is another variable? d) in (x – 1)", where r> 7 and r € Z?
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