Answered: 3 Problem 5: Fuller proofs are expected… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 25RE

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3
Problem 5: Fuller proofs are expected for these.
(a) What is the area of the largest rectangle that fits inside of the ellipse x2+2y = 1? I include
a figure below, for those possibly unfamiliar with conic sections.
(b) Prove the following: Let c e (a, b). Iff is continuous on [a, bl, differentiable on (a, b), and
limgc f(x)=L, then f'(c) L
Figure for 5(a).
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