perplexus.info :: Calculus : Derivative, Integral And Value Puzzle

Derivative, Integral And Value Puzzle (Posted on 2008-02-17)

A real polynomial L(y) satisfies this recurrence relation:

2*L(y) + 1 = L(y-1) + L(y+1) - 1

It is also known that L'(5) = 15, and:

  6
 ∫ L(y-2) dy = 4*L(2)
 0

Determine the value of L(-5)

Submitted by K Sengupta

Rating: 3.5000 (2 votes)

Solution: (Hide)

The required value of L(-5) is 1.

EXPLANATION:

Refer to the solution submitted by SilverKnight in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	K Sengupta	2008-03-21 10:46:05
Ho Hum	FrankM	2008-02-18 10:49:47
Solution	SilverKnight	2008-02-18 10:12:37

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