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Find the curve through (0, 2) whose slope at every point (x, y) is 3x^2.
Ay = 6x + 2
By = 3x^3 + 2
Cy = x^3
Dy = x^3 + 2
Answer & Solution
Correct answer: D. y = x^3 + 2
Integrating dy/dx = 3x^2 gives y = x^3 + C, and the point (0, 2) gives C = 2.
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