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.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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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.
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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