20. Let yapp (x) be a polynomial approximation, involving only one coordinate function, for the I(4) = G -y) dx; y(0) - 0, d%3B y(1) = 0, using Rayleigh-Ritz method; here

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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20. Let ya (x) be a polynomial approximation,
involving only one coordinate function, for the
functional 1(y) = }Gr-ydx; y(0)- 0,
y (1) = 0, using Rayleigh-Ritz method; here
ye C [0, 1]. If y.(x)is an exact extremizing
function, then y, and Yor are coincident at
(a)
x 0 but not at remaining point in [0,1]
(b)
x =1 but not at remaining points in
[0,1]
(c)
x = 0 and xx=1, but not at other points
in [0,1]
(d)
All point xe[0, 1]
21. The extremal of dt ; x(1) = 3, x (2) =18
(where i=
dx
) using Lagrange's equation is
dt
24
given by which of the following?
(a)
x=t +2
15
(b)
(c)
x= 5t? -2
(d)
x= 5t + 3
Transcribed Image Text:20. Let ya (x) be a polynomial approximation, involving only one coordinate function, for the functional 1(y) = }Gr-ydx; y(0)- 0, y (1) = 0, using Rayleigh-Ritz method; here ye C [0, 1]. If y.(x)is an exact extremizing function, then y, and Yor are coincident at (a) x 0 but not at remaining point in [0,1] (b) x =1 but not at remaining points in [0,1] (c) x = 0 and xx=1, but not at other points in [0,1] (d) All point xe[0, 1] 21. The extremal of dt ; x(1) = 3, x (2) =18 (where i= dx ) using Lagrange's equation is dt 24 given by which of the following? (a) x=t +2 15 (b) (c) x= 5t? -2 (d) x= 5t + 3
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