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Solve the Problem y=ax4+bx3+cx2+dx+e,a0y = a x ^ { 4 } + b x ^ { 3 } + c x ^ { 2 } + d x + e , a \neq 0

Question 201

Essay

Solve the problem.
-What can you say about the inflection points of the quartic curve y=ax4+bx3+cx2+dx+e,a0y = a x ^ { 4 } + b x ^ { 3 } + c x ^ { 2 } + d x + e , a \neq 0 ? Give reasons for your answer.

Correct Answer:

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The curve can have 0 or 2 inflection poi...

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