Part 1: X=345.218 Y=2A2.b16 Z-101101011.11012 W=3.14 Calculate: Y*Z-X*W correct to 3 octal places in the octal system (Show all steps) Part 2: The complex quadratic function: f(z)=z²+az+ b has 2 roots: Z₁=3+4i and Z2=12-5 i 1. Calculate Re(a), Im(a), Re(b), Im(b) 2. arg(z₁/Z2), |Z1Z2l, 3. √/2₁/22 4. (BONUS): |z₁22| (find all 3 roots in polar representation) (4 significant figures) Part 3: 1. Given: x= cos(0); prove that Theorem) examine the similar problem: x= sin(0) .. sin(50) = (x-polynomial) 2. Calculate an approximation of cos(12º) using a suitable de Moivre's formula (use Newton Raphson, 4 steps and compare your result with the correct value) cos(50) = 5x20x³ + 16x5 (Use de Moivre's
Part 1: X=345.218 Y=2A2.b16 Z-101101011.11012 W=3.14 Calculate: Y*Z-X*W correct to 3 octal places in the octal system (Show all steps) Part 2: The complex quadratic function: f(z)=z²+az+ b has 2 roots: Z₁=3+4i and Z2=12-5 i 1. Calculate Re(a), Im(a), Re(b), Im(b) 2. arg(z₁/Z2), |Z1Z2l, 3. √/2₁/22 4. (BONUS): |z₁22| (find all 3 roots in polar representation) (4 significant figures) Part 3: 1. Given: x= cos(0); prove that Theorem) examine the similar problem: x= sin(0) .. sin(50) = (x-polynomial) 2. Calculate an approximation of cos(12º) using a suitable de Moivre's formula (use Newton Raphson, 4 steps and compare your result with the correct value) cos(50) = 5x20x³ + 16x5 (Use de Moivre's
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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