tiny, no 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 t^3,y=5t2+1 scary at adll, x=4- Compute dx/dt. and

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
%3D
to t = 2
%D
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 %3D to t = 2 %D minutes.
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