1 Let z equal the square root of i (a) Find Rez and Imz(real and i...

1. - Let z equal the square root of âˆ’i. (a) Find Rez and Imz (real...

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Physics

1. - Let z equal the square root of âˆ’i. (a) Find Rez and Imz(real and imaginary parts of z). (b) Find real and imaginary partsfor the square root of z âˆ— . Donâ€™t forget that every number (realor complex) has two square roots.
2. - Use the Euler Formula derived in Lecture to evaluate thereal and imaginary parts of the complex wave function Ïˆ(x) = 2e ikxfor these 5 values of x: x = Î»/2, Î»/3, Î»/4, 3Î» + Î»/5, 13Î»/6 .Youâ€™ll have to recall the standard relation between wave vector andwavelength and evaluate some trig functions.

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4.4 Ratings (1035 Votes)

1 a First note that we can write i as followsbecausefor any real number Above formula is the Euler formulaNow we can use above to obtain z where stands See Answer

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