Consider the function f(z) = z/|z|. (a) Write f(z) in complex standard form f = u+iv. In other words, determine Re f(z) and Im f(z). (b) Use Mathematica to plot u and v. Hint: use command Plot3D. (c)...

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Consider the function f(z) = z/|z|. (a) Write f(z) in complex standard form f = u+iv. In other words, determine Re f(z) and Im f(z). (b) Use Mathematica to plot u and v. Hint: use command Plot3D. (c)...

Consider the function f(z) = z/|z|. (a) Write f(z) in complex standard form f = u+iv. In other words, determine Re f(z) and Im f(z). (b) Use Mathematica to plot u and v. Hint: use command Plot3D. (c) Find the limit of f(z) as z approaches 0 along each of the following paths: • the negative side of the real axis, • the positive side of the real axis, • the negative side of the imaginary axis, • the positive side of the imaginary axis. (d) Find the limit of f(z) as z approaches ∞ along each of the following paths: • the positive side of the real axis, • the positive side of the imaginary axis.

math Advanced-Math

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Consider the function f(z) = z/|z|. (a) Write f(z) in complex standard form f = u+iv. In other words, determine Re f(z) and Im f(z). (b) Use Mathematica to plot u and v. Hint: use command Plot3D. (c)...

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Consider the function f(z) = z/|z|. (a) Write f(z) in complex standard form f = u+iv. In other words, determine Re f(z) and Im f(z). (b) Use Mathematica to plot u and v. Hint: use command Plot3D. (c)...

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Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...

Consider the function f(z) = z/|z|. (a) Write f(z) in complex standard form f = u+iv. In other words, determine Re f(z) and Im f(z). (b) Use Mathematica to plot u and v. Hint: use command Plot3D. (c)...

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Add Answer to: Consider the function f(z) = z/|z|. (a) Write f(z) in complex standard form f = u+iv. In other words, determine Re f(z) and Im f(z). (b) Use Mathematica to plot u and v. Hint: use command Plot3D. (c)...

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Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...

Add Answer to:
Consider the function f(z) = z/|z|. (a) Write f(z) in complex standard form f = u+iv. In other words, determine Re f(z) and Im f(z). (b) Use Mathematica to plot u and v. Hint: use command Plot3D. (c)...