Suppose I have an operator Â, and I discover that Â(2²) = 5 sina and Â(sin x) = 5x². (a) Find Â(2² sin x) (b) Name one eigenfunction and one eigenvalue of A.

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Suppose I have an operator A, and I discover that Â(2²) = 5 sinx and Â(sin x) = 5x².
(a) Find Â(2² - sin x)
(b) Name one eigenfunction
and one eigenvalue of A.
Transcribed Image Text:Suppose I have an operator A, and I discover that Â(2²) = 5 sinx and Â(sin x) = 5x². (a) Find Â(2² - sin x) (b) Name one eigenfunction and one eigenvalue of A.
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