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Section 3.9 Continued (b) Suppose we have two boats traveling in the ry-plane. Boat A's position can be modeled with the following two equations, corresponding to its z and y coordinates (in m) at timet (in s): TA = 2t", yA = 3t +5 %3D Similarly, boat B's position is described with the following equations: TB = 4t + 2, YB = 5t2 + 2t %3D What is the rate of change of the total distance between the two boats when the rate of change of the horizontal distance between the two boats is 20 m/s?

Section 3.9 Continued (b) Suppose we have two boats traveling in the ry-plane. Boat A's position can be modeled with the following two equations, corresponding to its z and y coordinates (in m) at timet (in s): TA = 2t", yA = 3t +5 %3D Similarly, boat B's position is described with the following equations: TB = 4t + 2, YB = 5t2 + 2t %3D What is the rate of change of the total distance between the two boats when the rate of change of the horizontal distance between the two boats is 20 m/s?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Section 3.9 Continued (b) Suppose we have two boats traveling in the ry-plane. Boat A's position can be modeled with the following two equations, corresponding to its r and y coordinates (in m) at time t (in s): TA = 2t, yA = 3t + 5 Similarly, boat B's position is described with the following equations: IB = YB = 4t +2, 5t2 + 2t What is the rate of change of the total distance between the two boats when the rate of change of the horizontal distance between the two boats is 20 m/s?
Transcribed Image Text:Section 3.9 Continued (b) Suppose we have two boats traveling in the ry-plane. Boat A's position can be modeled with the following two equations, corresponding to its r and y coordinates (in m) at time t (in s): TA = 2t, yA = 3t + 5 Similarly, boat B's position is described with the following equations: IB = YB = 4t +2, 5t2 + 2t What is the rate of change of the total distance between the two boats when the rate of change of the horizontal distance between the two boats is 20 m/s?
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