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Calculus

Find the absolute maximum and minimum values of f(x)=10x(2-lnx) on [1,e^2]

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter58: Achievement Review—section Five

Section: Chapter Questions

Problem 30AR: Determine dimension x to 3 decimal places.

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Question

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1. Find the absolute maximum and minimum values of f(x)=10x(2-lnx) on [1,e^2]

2. Find the limil. Uisng L'Hopital's Rule : lim x arrow 0 sin^2(3x)/4x

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Step 1: Define the problem.

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Step 2: Find the derivatives of the function.

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Step 3: Find the stationary points.

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Step 4: Determine the nature of the function at the stationary point.

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Step 5: Find the absolute maximum and absolute minimum value of the function.

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