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A girl is sliding down a slide shaped like the curve y = 9e^(-x/3). Her y-coordinate is changing at the rate dy/dt = (-1/4)sqrt(9 - y) ft/sec. At approximately what rate is her x-coordinate changing when she reaches the bottom of the slide at x = 9 ft? (Take e3 to be 20 and round your answer to the nearest ft/ sec)

A girl is sliding down a slide shaped like the curve y = 9e^(-x/3). Her y-coordinate is changing at the rate dy/dt = (-1/4)sqrt(9 - y) ft/sec. At approximately what rate is her x-coordinate changing when she reaches the bottom of the slide at x = 9 ft? (Take e3 to be 20 and round your answer to the nearest ft/ sec)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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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A girl is sliding down a slide shaped like the curve y = 9e^(-x/3). Her y-coordinate is changing at the rate dy/dt = (-1/4)sqrt(9 - y) ft/sec. At approximately what rate is her x-coordinate changing when she reaches the bottom of the slide at x = 9 ft? (Take e3 to be 20 and round your answer to the nearest ft/ sec)

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