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Finding relation between the parameters

Assignment:

Given the curve

y = ax³ + bx² + cx + d, a ≠ 0

Find the relation between the parameters a, b, and c that will ensure that the curve:

(a) has only one turning point.

(b) has no turning points.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Finding relation between the parameters

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