Suppose f is continuous on [0,13] and differentiable on (0,13). If f(0)=3 and f′(x)≥9 for all x∈(0,13), what is the minimum possible value for f(13)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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Suppose f is continuous on [0,13] and differentiable on (0,13). If f(0)=3 and f′(x)≥9 for all x∈(0,13), what is the minimum possible value for f(13)?

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