A bug is moving along the right side of the parabola y =x at a rate such that its distance from the origin is increasing at 9 cm/ min. a. At what rate is the x-coordinate of the bug increasing when the bug is at the point (2, 4)? b. Use the equation y =x? to find an equation relating dy, dx to dt dt c. At what rate is the y-coordinate of the bug increasing when the bug is at the point (2, 4)?

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 bug is moving along the right side of the parabola y =x at a rate such that its distance from the origin is increasing at 9 cm/ min.
a. At what rate is the x-coordinate of the bug increasing when the bug is at the point (2, 4)?
b. Use the equation y =x? to find an equation relating
dy, dx
to
dt
dt
c. At what rate is the y-coordinate of the bug increasing when the bug is at the point (2, 4)?
Transcribed Image Text:A bug is moving along the right side of the parabola y =x at a rate such that its distance from the origin is increasing at 9 cm/ min. a. At what rate is the x-coordinate of the bug increasing when the bug is at the point (2, 4)? b. Use the equation y =x? to find an equation relating dy, dx to dt dt c. At what rate is the y-coordinate of the bug increasing when the bug is at the point (2, 4)?
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