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Find the greatest volume of a rectangular box such that the sum of its length, width, and height does not exceed L in.

Find the greatest volume of a rectangular box such that the sum of its length, width, and height does not exceed L in.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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1. Find the greatest volume of a rectangular box such that the sum of its length, width, and height does not exceed L in. 2. Find and classify all the critical points of f(x, y) = x³ – y3 – 8xy. 3. Find the moving trihedral and the curvature at any point of R(t) = (3t2, sin 2t, cos 2t). %3D
Transcribed Image Text:1. Find the greatest volume of a rectangular box such that the sum of its length, width, and height does not exceed L in. 2. Find and classify all the critical points of f(x, y) = x³ – y3 – 8xy. 3. Find the moving trihedral and the curvature at any point of R(t) = (3t2, sin 2t, cos 2t). %3D
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