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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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.
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