1. (8 points) Let x, y ER" be given. ||||||y||= (a) If 1 and 2 y = 1, show that a = y. (b) If | ≤ 1 and y| ≤ 1, prove that √1-||||2√1- |y² ≤1-x-yl.
1. (8 points) Let x, y ER" be given. ||||||y||= (a) If 1 and 2 y = 1, show that a = y. (b) If | ≤ 1 and y| ≤ 1, prove that √1-||||2√1- |y² ≤1-x-yl.
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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Transcribed Image Text:1. (8 points) Let x, y ER" be given.
(a) If ||||||y|| = 1 and 2 y = 1, show that a = y.
=
(b) If || ≤ 1 and ||y|| ≤ 1, prove that √1-||||2√1-y² ≤1-x-y.
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