Suppose f(x) is a continuous function that is zero when x is −1, 3, or 6 and nowhere else. Suppose we tested the function at a few points and found that ƒ(−2) < 0, ƒ(0) < 0, f(4) > 0, and f(7) < 0. Let x(t) be the solution to x' f(x) and x(0) = 1. Compute: lim x(t) help (numbers) t→∞ Book: Section 1.6 of Notes on Diffy Qs

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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Suppose f(x) is a continuous function that is zero when x is −1, 3, or 6 and nowhere else.
Suppose we tested the function at a few points and found that ƒ(−2) < 0, ƒ(0) < 0,
f(4) > 0, and f(7) < 0.
Let x(t) be the solution to x'
f(x) and x(0) = 1. Compute:
lim x(t)
help (numbers)
t→∞
Book: Section 1.6 of Notes on Diffy Qs
Transcribed Image Text:Suppose f(x) is a continuous function that is zero when x is −1, 3, or 6 and nowhere else. Suppose we tested the function at a few points and found that ƒ(−2) < 0, ƒ(0) < 0, f(4) > 0, and f(7) < 0. Let x(t) be the solution to x' f(x) and x(0) = 1. Compute: lim x(t) help (numbers) t→∞ Book: Section 1.6 of Notes on Diffy Qs
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