# Squeezing Range

Level pending

If $$f(x) = x^3 - 2x^2 \sin \theta + x + 1 \; (0 \leq \theta \leq \pi)$$ has both a local maximum and a local minimum, the range of $$\theta$$ can be restricted further by $$a \pi < \theta < b \pi$$. What is the value of $$30(b-a)?$$

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