Suppose P(z) is a polynomial satisfying • P(5) = - 5 P'(5) P"(5) = - 156 Р(3) (5) 3D — 414 305

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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Suppose P(æ) is a polynomial satisfying
P(5) = - 5
- 305
P'(5) =
P''(5) :
- 156
• (3) (5) =
- 414
Р(- 3) — 3
• P'( – 3)
17
If
P(2) = a + b(x + 3) + c(æ + 3)(æ – 5) + d(x + 3)° (x – 5) + e(x + 3)²(x – 5)² + f(x + 3)²(x – 5)3
then
1. What is the coefficient a ?
2. What is the coefficient b?
3. What is the coefficient c?
4. What is the coefficient d?
5. What is the coefficient e ?
6. What is the coefficient f?
Transcribed Image Text:Suppose P(æ) is a polynomial satisfying P(5) = - 5 - 305 P'(5) = P''(5) : - 156 • (3) (5) = - 414 Р(- 3) — 3 • P'( – 3) 17 If P(2) = a + b(x + 3) + c(æ + 3)(æ – 5) + d(x + 3)° (x – 5) + e(x + 3)²(x – 5)² + f(x + 3)²(x – 5)3 then 1. What is the coefficient a ? 2. What is the coefficient b? 3. What is the coefficient c? 4. What is the coefficient d? 5. What is the coefficient e ? 6. What is the coefficient f?
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