Give the eigenfunctions and eigenvalues for m| = 2
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- The circumference C of a circle is a function of its radius by C(r) = 2xr. Express the radius of a circle as a function of its circumference. Call this function r(C). r(C) = Preview Find r(187). r(187) = Interpret the meaning: O When the radius is 187, the circumference is r(187) O When the circumference is 187, the radius is r(187)Find the distance from the point (2, –7, –6) to the line L = (-5,–10, -5) + t (8,7,6) , -∞please provide detailed solutions for a to d. thank you!Evaluate the commutator è = [x², Pe** =?Let's say we have a particle in motion. If f(x) represents the function of the particle's velocity, what does the integral of f(x) represent?Construct the 3D rotation ma- trices for rotations about the x-axis, y-axis, and z-axis by an angle o as described in I section 1.1.5. You should end up with three 3x3 matrices, one for each rotation axis. Demonstrate that your matrices do what they are supposed to do by considering >= 90 deg and applying them to an arbitrary vector A. Draw pictures to illustrate your reasoning.