a) The force on a sailboat mast can be represented by the following function: F= = "20 200 (5) e-2/ dz where z = the elevation above the deck and H=the height of the mast. Compute F for the case where H = 30 using the two-point Gauss-Legendre formula. b) Evaluate the integral below using three-point Gauss-Legendre formula. 1.5 Se-x² dx 0.2 c) Use the three-point Gauss-Quadrature formula to estimate the integral for the same function.
a) The force on a sailboat mast can be represented by the following function: F= = "20 200 (5) e-2/ dz where z = the elevation above the deck and H=the height of the mast. Compute F for the case where H = 30 using the two-point Gauss-Legendre formula. b) Evaluate the integral below using three-point Gauss-Legendre formula. 1.5 Se-x² dx 0.2 c) Use the three-point Gauss-Quadrature formula to estimate the integral for the same function.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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