Jay and John used to travel together but because of the pandemic, they decided to go separately following different paths. Jay follows a path described by loge y = x starting from (0,1), while John begins from (0,2) and follows the route defined by the equation y = 4x - 3. If the two moves to the right at the same time where rate at which the distance between the two is changing when t = 4 minutes. dx 1km/min, find the %3! dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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5. Jay and John used to travel together but because of the pandemic, they decided to go
separately following different paths. Jay follows a path described by loge y = x starting
from (0,1), while John begins from (0,2) and follows the route defined by the equation
dx
y = 4x – 3. If the two moves to the right at the same time where
1km/min, find the
dt
rate at which the distance between the two is changing when t = 4 minutes.
Transcribed Image Text:5. Jay and John used to travel together but because of the pandemic, they decided to go separately following different paths. Jay follows a path described by loge y = x starting from (0,1), while John begins from (0,2) and follows the route defined by the equation dx y = 4x – 3. If the two moves to the right at the same time where 1km/min, find the dt rate at which the distance between the two is changing when t = 4 minutes.
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