Answered: olve y′′′′+ 3y′′−4y = e^2t

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 40E

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The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
integrate the ff.
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The amount of medicine (in milligrams) in a patient's bloodstream tt hours since taking a pill can be modeled by y=300(0.85)^t. The patient must take another pill when the amount of medicine in her bloodstream reaches 100 milligrams. How long since taking the first pill does the patient need to take the second pill?
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