- 6 10 Pts A Rabbit Has To Follow A Path That Passes Eight Planning Points In Order To Avoid Two Obstacles As Shown In 1 (133.98 KiB) Viewed 78 times
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6.[10 pts] A rabbit has to follow a path that passes eight planning points in order to avoid two obstacles, as shown in the plot. To find the shortest path that is also smooth, which numerical methods would you apply? Please choose your best method and explain it in detail. 8 0 2 4 6 8 10 12 6. [10] The depths of a river H are measured at equally spaced distances across a channel as tabulated below. The river's cross-sectional area can be determined by integration as in Ac = = 5₁² H(x) dx a) Use trapezoidal rule to perform the integration using step size of h=1 m. b) Use trapezoidal rule to perform the integration using step size of h=2 m. c) Use trapezoidal rule to perform the integration using step size of h=0.5 m. d) Discus on results obtained from parts a, b and c. 2 3 4 x(m) 0 H(m) 0 1 2.9 3.98 4.123 6.64 5 9.28 6 7 8 12.45 21.42 56 7 6 5 y4 3 2 1 0