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8. Find the point on the plane 3x + 4y + z = 1 closest to(-1,1,1)

8. Find the point on the plane 3x + 4y + z = 1 closest to(-1,1,1)

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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**8.** Find the point on the plane \(3x + 4y + z = 1\) closest to \((-1, 1, 1)\). **9.** Find the absolute maximum and minimum value of \(f(x, y) = 2x^2 + y^2 - 4x + 1\) on the compact set \(D = \{(x, y)^\top \in \mathbb{R}^2 \mid x^2 + y^2 \leq 12\}\).
Transcribed Image Text:**8.** Find the point on the plane \(3x + 4y + z = 1\) closest to \((-1, 1, 1)\). **9.** Find the absolute maximum and minimum value of \(f(x, y) = 2x^2 + y^2 - 4x + 1\) on the compact set \(D = \{(x, y)^\top \in \mathbb{R}^2 \mid x^2 + y^2 \leq 12\}\).
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