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Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2...

Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given conditions.

Relative maximum: (3, 12)
Relative minimum: (5, 10)
Inflection point: (4, 11)

a=

b=

c=

d=

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