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Let z = x + iy. Determine the value of x and y in each of the following cases below. Show all of your work for full credit. You can check your answer in MATLAB by typing in the expression with 11 representing the imaginary number (e.g., (3+1i) * (1+3i)). 1. z = (3 + i)(1+3i) 2. z = i4-1 3. z = 3+i 1+3i

Let z = x + iy. Determine the value of x and y in each of the following cases below. Show all of your work for full credit. You can check your answer in MATLAB by typing in the expression with 11 representing the imaginary number (e.g., (3+1i) * (1+3i)). 1. z = (3 + i)(1+3i) 2. z = i4-1 3. z = 3+i 1+3i

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4 Problem Let z = x + iy. Determine the value of x and y in each of the following cases below. Show all of your work for full credit. You can check your answer in MATLAB by typing in the expression with 11 representing the imaginary number (e.g., (3+1i)*(1+3i)). 1. z = (3 + i)(1 + 3i) 2. z = i4-1 3. z = 3+i 4. If w = 1 + 2i, then what is |w| and 0 = arg (w)? 5. If Z₁ =-i and Z2 = ein/2, then what is the sum z₁ + Z₂?
Transcribed Image Text:4 Problem Let z = x + iy. Determine the value of x and y in each of the following cases below. Show all of your work for full credit. You can check your answer in MATLAB by typing in the expression with 11 representing the imaginary number (e.g., (3+1i)*(1+3i)). 1. z = (3 + i)(1 + 3i) 2. z = i4-1 3. z = 3+i 4. If w = 1 + 2i, then what is |w| and 0 = arg (w)? 5. If Z₁ =-i and Z2 = ein/2, then what is the sum z₁ + Z₂?
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