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Problem 15 - Entrance Test

A curve has slope dy/dx = 3x² – 4x. If it passes through (1, 2), what is y when x = 2?

Correct: B

Integrate: y = x³ – 2x² + C. At x = 1, y = 2 → 1 – 2 + C = 2 → C = 3. At x = 2: y = 8 – 8 + 3 = 3.