Find the roots of the equation x^3 + 4x^2 - 11x - 30 = 0.
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What is the resultant displacement when a vector of magnitude 10m is added to another vector of magnitude 8m, given their directions are 45° and 60° respectively?
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What are the key features of the hyperbola function y = (1/2)x^2 - 2, including the coordinates of the center, vertices, foci, eccentricity, and asymptotes?