In Problems 27 and 28, establish the given inequality. 27. If = 2, then = +6+8i| ≤ 13. 28. If = 1, then 1 ≤|z²-3 ≤4. 29. Find an upper bound for the modulus of 32² +22+1 if |z| ≤ 1.
In Problems 27 and 28, establish the given inequality. 27. If = 2, then = +6+8i| ≤ 13. 28. If = 1, then 1 ≤|z²-3 ≤4. 29. Find an upper bound for the modulus of 32² +22+1 if |z| ≤ 1.
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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![In Problems 27 and 28, establish the given inequality.
27. If = 2, then | +6+8i| ≤ 13.
28. If = 1, then 1≤²-3 ≤4.
29. Find an upper bound for the modulus of 32² +22+1 if |z| ≤ 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc84ba02-cd45-4ad4-9c89-9c840cb88804%2F84f8c18f-d1d1-4b2a-8837-aca4cfd3bf40%2Fv83o2dh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In Problems 27 and 28, establish the given inequality.
27. If = 2, then | +6+8i| ≤ 13.
28. If = 1, then 1≤²-3 ≤4.
29. Find an upper bound for the modulus of 32² +22+1 if |z| ≤ 1.
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