A sailboat is being towed towards a 8' high dock bymeans of a rope. Here rr(t) represents the ropelength at time t. If the rate at which the rope lengthis changing(decreasing) is 1.5 feet/second,determine the speed at which the sailboat isapproaching the dock when the rope length is10'.r =Note, you are trying to find speeddxdt|(4) , ¤| =r(t)8'x(t)(a) Determine x =x(t) whenr = r(t) = 10.feetx =(b) Write an equation in t relating the values on thetriangle.Equation in tImplicitly differentiate the equation with respect todxat the prescribeddtt and determine the speedmoment.(c) When the rope length is 10’, the speed of theboat isdxSpeedfeet/second.dt||

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A sailboat is being towed towards a 8' high dock by means of a rope. Here r = r(t) represents the rope length at time t. If the rate at which the rope length is changing(decreasing) is 1.5 feet/second , determine the speed at which the sailboat is approaching the dock when the rope length is r = 10'. Note, you are trying to find speed dx dt |(7), æ| = r(t) 8' x(t) (a) Determine x = x(t) when r = r(t) = 10. feet x = (b) Write an equation in t relating the values on the triangle. Equation in t Implicitly differentiate the equation with respect to dx at the prescribed dt t and determine the speed moment. (c) When the rope length is 10’, the speed of the boat is dx Speed feet/second. dt ||

A sailboat is being towed towards a 8' high dock by means of a rope. Here r = r(t) represents the rope length at time t. If the rate at which the rope length is changing(decreasing) is 1.5 feet/second , determine the speed at which the sailboat is approaching the dock when the rope length is r = 10'. Note, you are trying to find speed dx dt |(7), æ| = r(t) 8' x(t) (a) Determine x = x(t) when r = r(t) = 10. feet x = (b) Write an equation in t relating the values on the triangle. Equation in t Implicitly differentiate the equation with respect to dx at the prescribed dt t and determine the speed moment. (c) When the rope length is 10’, the speed of the boat is dx Speed feet/second. dt ||

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...

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