Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
8th Edition
ISBN: 9781305279148
Author: Stewart, James, St. Andre, Richard
Publisher: Cengage Learning
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Chapter 4.2, Problem 1PT
To determine
To choose: The appropriate option which is not a hypothesis of Rolle’s Theorem.
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3. Determine the Laplace Transform for the following functions. Show all of your work:
1-t, 0 ≤t<3
a. e(t) = t2, 3≤t<5
4, t≥ 5
b. f(t) = f(tt)e-3(-) cos 4τ dr
4. Find the inverse Laplace Transform Show all of your work:
a. F(s) =
=
2s-3
(s²-10s+61)(5-3)
se-2s
b. G(s) =
(s+2)²
1. Consider the differential equation, show all of your work:
dy
=(y2)(y+1)
dx
a. Determine the equilibrium solutions for the differential equation.
b. Where is the differential equation increasing or decreasing?
c. Where are the changes in concavity?
d. Suppose that y(0)=0, what is the value of y as t goes to infinity?
Chapter 4 Solutions
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Ch. 4.1 - Prob. 1PTCh. 4.1 - Sometimes, Always, or Never: If f(c) = 0, then c...Ch. 4.1 - The critical numbers of f(x) = 3x4 = 20x3 36x2...Ch. 4.1 - Prob. 4PTCh. 4.1 - True or False: The absolute extrema of a...Ch. 4.1 - Prob. 6PTCh. 4.1 - Prob. 7PTCh. 4.2 - Prob. 1PTCh. 4.2 - Prob. 2PTCh. 4.2 - Prob. 3PT
Ch. 4.2 - True or False: If f(x) = g(x) for all x then f(x)...Ch. 4.2 - Prob. 5PTCh. 4.3 - Prob. 1PTCh. 4.3 - Prob. 2PTCh. 4.3 - Prob. 3PTCh. 4.3 - Prob. 4PTCh. 4.3 - Prob. 5PTCh. 4.3 - Prob. 6PTCh. 4.3 - True or False: If f(c) = 0, then c is a point of...Ch. 4.3 - Prob. 8PTCh. 4.3 - Prob. 9PTCh. 4.3 - Prob. 10PTCh. 4.4 - Prob. 1PTCh. 4.4 - Prob. 2PTCh. 4.4 - Prob. 3PTCh. 4.4 - limx(lnx)1/x= a) 0 b) 1 c) e d)Ch. 4.5 - Prob. 1PTCh. 4.5 - Prob. 2PTCh. 4.5 - Prob. 3PTCh. 4.5 - True or False: If f(x) 0 for all x in an interval...Ch. 4.5 - Prob. 5PTCh. 4.5 - Prob. 6PTCh. 4.5 - Prob. 7PTCh. 4.6 - Prob. 1PTCh. 4.6 - Prob. 2PTCh. 4.6 - Prob. 3PTCh. 4.7 - Prob. 1PTCh. 4.7 - A carpenter has a 10-foot-long board to mark off a...Ch. 4.7 - Prob. 3PTCh. 4.7 - Prob. 4PTCh. 4.8 - Prob. 1PTCh. 4.8 - Prob. 2PTCh. 4.8 - Prob. 3PTCh. 4.9 - Prob. 1PTCh. 4.9 - Prob. 2PTCh. 4.9 - Prob. 3PTCh. 4.9 - Prob. 4PTCh. 4.9 - Prob. 5PT
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