How do I find the shortest distance between the curves y=x^2 and y=ln(x)? Note: I've already asked this question once, but whoever answered it thought that the 2 points should have had the same value of x. When visualizing this problem with a graphing calculator, it's clear to see that the 2 points on the curves for which the distance is the shortest do not have the same value of x. Hence ,the distance function should consist of 2 variables. I believe that in order to solve this problem there should be a use of partial derivatives. May someone help me get this right this time? Thanks

How do I find the shortest distance between the curves y=x^2 and y=ln(x)? Note: I've already asked this question once, but whoever answered it thought that the 2 points should have had the same value of x. When visualizing this problem with a graphing calculator, it's clear to see that the 2 points on the curves for which the distance is the shortest do not have the same value of x. Hence ,the distance function should consist of 2 variables. I believe that in order to solve this problem there should be a use of partial derivatives. May someone help me get this right this time? Thanks

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
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