Find a, b, c, and d such that the cubic function f(x) = ax³ + bx² + cx + d satisfies the given conditions. Relative maximum: (2,7) Relative minimum: (4,1) Inflection point: (3, 4)
Find a, b, c, and d such that the cubic function f(x) = ax³ + bx² + cx + d satisfies the given conditions. Relative maximum: (2,7) Relative minimum: (4,1) Inflection point: (3, 4)
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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Transcribed Image Text:Find a, b, c, and d such that the cubic function f(x) = ax³ + bx² + cx + d satisfies the given conditions.
Relative maximum: (2, 7)
Relative minimum: (4,1)
(3, 4)
Inflection point:
a = -3/7
b = 27/7
C = -72/7
d =
55/7
X
X
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