7. Let a, b, c, D, E be real numbers with c =I- O. (a) If DE

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7. Let

a, b,

c, D, E be real numbers with c =I- O.

(a) If DE > 0, find all extrema of ax + by + cz subject to the constraint z =

Dx2 + Ey2. Prove that a maximum occurs when cD < 0 and a minimum when cD > O.

(b) What can you say when DE < O?

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 20, 2024 05:01 AM

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7. Let a, b, c, D, E be real numbers with c =I- O. (a) If DE

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An Introduction To Analysis

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