Consider a continuous function f : B₁ (0) → R with B₁ (0) CR². The function is C¹ on the interior of its domain, namely B₁ (0), but the function has no critical points. Also consider the function g: [0,2] → R² with g(t) = (cost, sint) Select all statements that must be TRUE. Of has no local maximum. Of has no global maximum. Of has a saddle point. fog has a global maximum. fog has a local maximum.

Consider a continuous function f : B₁ (0) → R with B₁ (0) CR². The function is C¹ on the interior of its domain, namely B₁ (0), but the function has no critical points. Also consider the function g: [0,2] → R² with g(t) = (cost, sint) Select all statements that must be TRUE. Of has no local maximum. Of has no global maximum. Of has a saddle point. fog has a global maximum. fog has a local maximum.

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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