Determine the Wronskian of the following functions: f₁(x) = 1, f₂(x) = sinx, f(x) = cosx 0 1 O -1 O - cos (2x) O 0

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A: A set of function is linearly independent on the given interval if its Wronskian is non zero.

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A: we have to find out the values of x where function is continuous.

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A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

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A: Please refer to the solution in next step.

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Q: Find and verify the operator that annihilates the function f(x) = e-²x sin x

A: According to the given information, find and verify the operator that annihilates the given function…