Arg(2) 6. fi(2) = |2|še principal cube root function. ri cos + irš sin , where |2| = r + 0, and 0 = Arg(z). fi denotes the (a) Show that fi is a branch of the multivalued cube root f(z) = z3. (b) What is the range of f1? (c) Where is fi continuous?

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ISBN:9780470458365
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6. fi(2) = |2|ketArgO)
principal cube root function.
ri cos + irš sin, where |2| = r + 0, and 0 = Arg(z). ƒi denotes the
COS
(a) Show that fi is a branch of the multivalued cube root f(z) = z3.
(b) What is the range of f1?
(c) Where is fi continuous?
Transcribed Image Text:6. fi(2) = |2|ketArgO) principal cube root function. ri cos + irš sin, where |2| = r + 0, and 0 = Arg(z). ƒi denotes the COS (a) Show that fi is a branch of the multivalued cube root f(z) = z3. (b) What is the range of f1? (c) Where is fi continuous?
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