Approximate the distance covered by a rocket from t = 8 to t = 30 as given by 140000 v(t) = 2000ln - 9.8t |140000 – 2100t| Exact value: 11061.34 meter Using: a) Plot the v-t profile graph according to the given equation from t=8 to t=30 b) Trapezoidal rule with 6 segments c) Simpson's 1/3 with 6 segments d) 3/8 rule with 6 segments e) Gauss Quadrature 2-points and 3-points f) Compare and Discuss your result for all method above

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.