Expansions Clicker questions.

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Presentation transcript:

Expansions Clicker questions

Does the following series converge for x = 1/2? Yes No 10 0 of 5

Does the following series converge for x = 3? Yes No 10 0 of 5

What is the radius of convergence of the following series? 1 ∞ 10 0 of 5

What is the function p(x) for the following Sturm-Liouville equation What is the function p(x) for the following Sturm-Liouville equation? (1 – x2) y’’ – 2 x y’ + n (n+1) y=0 2 x 1 – x 1 – x2 10 0 of 5

What is the function q(x) for the following Sturm-Liouville equation What is the function q(x) for the following Sturm-Liouville equation? (1 – x2) y’’ – 2 x y’ + n (n+1) y=0 2 x 1 – x2 10 0 of 5

What is the eigenvalue l for the following Sturm-Liouville equation What is the eigenvalue l for the following Sturm-Liouville equation? (1 – x2) y’’ – 2 x y’ + n (n+1) y=0 1 n n (n+1) – n (n+1) 10 0 of 5

Find the coefficient of the orthonormal expansion of [1 2 3]T on the following orthonormal basis {[4/5 3/5 0]T , [–3/5 4/5 0]T, [0 0 1]T} 4/5, 8/5, 3 2, 1, 3 1, 2, 3 10 0 of 5

Find the coefficient of the orthogonal expansion of [1 2 3]T on the following orthogonal basis {[4 3 0]T , [–3 4 0]T, [0 0 1]T} 4/5, 8/5, 3 2/5, 1/5, 3 2/5, 1/5, 3/5 10 0 of 5

Find the coefficient of the orthogonal expansion of [4 5 6]T on the following orthogonal basis {[4 3 0]T , [–3 4 0]T, [0 0 1]T} 31/25, 8/25, 6 31, 8, 6 31/5, 8/5, 6 10 0 of 5