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Test your knowledge on improper L'Hopital's, series expansion, arc length, and probability with this Jeopardy game.
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We Integrate; Therefore We Are Polar, Parametric & Potpourri Improper L’Hopital’s All Things Series Things to do w/ Category 1 10 Points 10 Points 10 Points 10 Points 10 Points 20 Points 20 Points 20 Points 20 Points 20 Points 30 Points 30 Points 30 Points 30 Points 30 Points 40 Points 40 Points 40 Points 40 Points 40 Points 50 Points 50 Points 50 Points 50 Points 50 Points
Write the integral that would calculate the arc length of the curve y = x3 from (0,0) to (1,1).
A As shown in the figure above, a square with vertices (0,0), (2,0), (2,2) and (0,2) is divided into two regions by the graph y = -x2+ 2x. If a point is picked from inside the square, what is the probability that the point lies in the region above the parabola?