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Geometric probability. (1 Viewer)

seanieg89

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a) Find a condition for the cubic polynomial x^3+Ax+B to have three real roots (where A,B are real).

Let R be the region bounded by the parabola x^2=4y and the line y=20.

b) Using a) or otherwise, find the probability of being able to draw three distinct normals from a randomly selected point in R to the bounding parabola.
 

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