A tiny, not scary at all, bug lands on a piece of graph paper and walks along a path so that t minutes after it lands, it is at the point with coordinates x=4-t^3,y=5t2+1 Compute dx/dt, and explain using dx/dt how come we know the bug never retraces its steps as t increases from t = 0 minutes to t = 2 minutes.

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
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A tiny, not scary at all, bug lands on a piece of graph paper and walks along a path so that t minutes
after it lands, it is at the point with coordinates x=4-t^3,y=5t2+1
Compute dx/dt, and explain using dx/dt how come we know the bug never retraces its steps as t
increases from t = 0 minutes to t = 2 minutes.
Transcribed Image Text:A tiny, not scary at all, bug lands on a piece of graph paper and walks along a path so that t minutes after it lands, it is at the point with coordinates x=4-t^3,y=5t2+1 Compute dx/dt, and explain using dx/dt how come we know the bug never retraces its steps as t increases from t = 0 minutes to t = 2 minutes.
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