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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 74E

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