The velocity (meters/second) of an object at time / seconds is governed by the IVP: 1 dv k dt + v = 80e-kt v(0) = 20 a. Determine the value of the constant, k, if d (0) = 2. dt b. Using the value for k you found in part a, solve the IVP for v(t). Answer in explicit form. Find the limit of v(t) as time approaches infinity.
The velocity (meters/second) of an object at time / seconds is governed by the IVP: 1 dv k dt + v = 80e-kt v(0) = 20 a. Determine the value of the constant, k, if d (0) = 2. dt b. Using the value for k you found in part a, solve the IVP for v(t). Answer in explicit form. Find the limit of v(t) as time approaches infinity.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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