Calculus Early Transcendentals, Binder Ready Version
11th Edition
ISBN: 9781118883822
Author: Howard Anton, Irl C. Bivens, Stephen Davis
Publisher: WILEY
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Chapter 2.6, Problem 61ES
True-False Determine whether the statement is true or false. Explain your answer.
If
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Evaluate the next integral
1. For each of the following, find the critical numbers of f, the intervals on which f is increasing or decreasing, and the relative
maximum and minimum values of f.
(a) f(x) = x² - 2x²+3
(b) f(x) = (x+1)5-5x-2
(c) f(x) =
x2
x-9
2. For each of the following, find the intervals on which f is concave upward or downward and the inflection points of f.
(a) f(x) = x - 2x²+3
(b) g(x) = x³- x
(c) f(x)=x-6x3 + x-8
3. Find the relative maximum and minimum values of the following functions by using the Second Derivative Test.
(a) f(x)=1+3x² - 2x3
(b) g(x) = 2x3 + 3x² - 12x-4
Find the
Soultion to the following dy
differential equation using Fourier in
transforms:
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, хуо, ухо
according to the terms:
lim u(x,y) = 0
x18
lim 4x (x,y) = 0
x14
2
u (x, 0) =
=\u(o,y) =
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