# I need answers to all 12 problems to show the work also, very important - 24024

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• From: Mathematics, Calculus
• Due on: Tue 03 Sep, 2013 (03:56am)
• Asked on: Tue 03 Sep, 2013
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 1. (TCO 8) Given z1 = 2 + 3i, find . (Points : 4)

 2. (TCO 8) Given two complex numbers z1 and z2, which of the following is true? (Points : 4)

 3. (TCO 8) Obtain the polar form of the complex number z1 = 4 – 4i. (Points : 4)

 4. (TCO 8) Obtain the polar form of the complex number . (Points : 4)

 5. (TCO 8) Find Real(f) and Im(f) given f = 3z2 – 6z +3i and z = 2 + i. (Points : 4)

 6. (TCO 8) Compute ez and |ez| given z = 3 + i. (Points : 4)

 7. (TCO 8) Find all solutions (meaning, find z) of the equation e3z = 4. (Points : 5)

 8. (TCO 8) Compute cosh(z) given z=1+i. (Points : 4)

 9. (TCO 8) Find all solutions of the equation sin(z) = 100. (Points : 5)

 10. (TCO 8) Find the principal value Ln(z) when z = 2 + 2i (Points : 4)

 11. (TCO 8) Solve for z given ln(z) = e – i. (Points : 4)

 12. Is the function f(z) = Im(z2) analytic? Explain. (Points : 4)
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