Business Math (11th Edition)
11th Edition
ISBN: 9780134496436
Author: Cheryl Cleaves, Margie Hobbs, Jeffrey Noble
Publisher: PEARSON
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Chapter 3.2, Problem 22SE
To determine
To calculate: The quotient when the number
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(b) Consider the equation Ux - 2Ut
=
-3.
(i) Find the characteristics of this equation.
(ii) Find the general solutions of this equation.
(iii) Solve the following initial value problem for this equation
Ux - 2U₁ = −3
U(x, 0) = 0.
Question 4
(a) Find all possible values of a, b such that [sin(ax)]ebt solves the heat equation
U₁ = Uxx, x > 0.
(b) Consider the solution U(x,t) = (sin x)et of the heat equation U₁ = Uxx. Find the
location of its maxima and minima in the rectangle
πT
{0≤ x ≤½,0≤ t≤T}
2'
(c) Solve the following heat equation with boundary and initial condition on the half
line {x>0} (explain your reasonings for every steps).
Ut
=
Uxx, x > 0
Ux(0,t) = 0
U(x, 0) =
= =1
[4]
[6]
[10]
Part 1 and 2
Chapter 3 Solutions
Business Math (11th Edition)
Ch. 3.1 - Prob. 1-1SCCh. 3.1 - Prob. 1-2SCCh. 3.1 - Prob. 1-3SCCh. 3.1 - Prob. 1-4SCCh. 3.1 - Prob. 1-5SCCh. 3.1 - Prob. 1-6SCCh. 3.1 - Prob. 2-1SCCh. 3.1 - Prob. 2-2SCCh. 3.1 - Prob. 2-3SCCh. 3.1 - Prob. 2-4SC
Ch. 3.1 - Prob. 1SECh. 3.1 - Prob. 2SECh. 3.1 - Prob. 3SECh. 3.1 - Prob. 4SECh. 3.1 - Prob. 5SECh. 3.1 - Prob. 6SECh. 3.1 - Prob. 7SECh. 3.1 - Prob. 8SECh. 3.1 - Prob. 9SECh. 3.1 - Prob. 10SECh. 3.1 - Prob. 11SECh. 3.1 - Prob. 12SECh. 3.1 - Prob. 13SECh. 3.1 - Prob. 14SECh. 3.1 - Prob. 15SECh. 3.1 - Prob. 16SECh. 3.1 - Prob. 17SECh. 3.1 - Prob. 18SECh. 3.1 - Prob. 19SECh. 3.1 - Prob. 20SECh. 3.1 - Prob. 21SECh. 3.1 - Prob. 22SECh. 3.1 - Prob. 23SECh. 3.1 - Prob. 24SECh. 3.1 - Prob. 25SECh. 3.1 - Prob. 26SECh. 3.2 - Prob. 1-1SCCh. 3.2 - Prob. 1-2SCCh. 3.2 - Prob. 1-3SCCh. 3.2 - Prob. 1-4SCCh. 3.2 - Prob. 1-5SCCh. 3.2 - Prob. 1-6SCCh. 3.2 - Prob. 2-1SCCh. 3.2 - Prob. 2-2SCCh. 3.2 - Prob. 2-3SCCh. 3.2 - Prob. 2-4SCCh. 3.2 - Prob. 2-5SCCh. 3.2 - Prob. 2-6SCCh. 3.2 - Prob. 2-7SCCh. 3.2 - Prob. 2-8SCCh. 3.2 - Prob. 2-9SCCh. 3.2 - Prob. 2-10SCCh. 3.2 - Prob. 2-11SCCh. 3.2 - Prob. 2-12SCCh. 3.2 - Prob. 3-1SCCh. 3.2 - Prob. 3-2SCCh. 3.2 - Prob. 3-3SCCh. 3.2 - Prob. 3-4SCCh. 3.2 - Prob. 3-5SCCh. 3.2 - Prob. 3-6SCCh. 3.2 - Prob. 3-7SCCh. 3.2 - Prob. 1SECh. 3.2 - Prob. 2SECh. 3.2 - Prob. 3SECh. 3.2 - Prob. 4SECh. 3.2 - Prob. 5SECh. 3.2 - Prob. 6SECh. 3.2 - Prob. 7SECh. 3.2 - Prob. 8SECh. 3.2 - Prob. 9SECh. 3.2 - Prob. 10SECh. 3.2 - Prob. 11SECh. 3.2 - Prob. 12SECh. 3.2 - Prob. 13SECh. 3.2 - Prob. 14SECh. 3.2 - Prob. 15SECh. 3.2 - Prob. 16SECh. 3.2 - Prob. 17SECh. 3.2 - Prob. 18SECh. 3.2 - Prob. 19SECh. 3.2 - Prob. 20SECh. 3.2 - Prob. 21SECh. 3.2 - Prob. 22SECh. 3.2 - Prob. 23SECh. 3.2 - Prob. 24SECh. 3.2 - Prob. 25SECh. 3.2 - Prob. 26SECh. 3.2 - Prob. 27SECh. 3.2 - Prob. 28SECh. 3.2 - Prob. 29SECh. 3.2 - Prob. 30SECh. 3.2 - Prob. 31SECh. 3.2 - Prob. 32SECh. 3.2 - Prob. 33SECh. 3.2 - Prob. 34SECh. 3.2 - Prob. 35SECh. 3.2 - Prob. 36SECh. 3.2 - Prob. 37SECh. 3.2 - Prob. 38SECh. 3.3 - Prob. 1-1SCCh. 3.3 - Prob. 1-2SCCh. 3.3 - Prob. 1-3SCCh. 3.3 - Prob. 1-4SCCh. 3.3 - Prob. 1-5SCCh. 3.3 - Prob. 2-1SCCh. 3.3 - Prob. 2-2SCCh. 3.3 - Prob. 2-3SCCh. 3.3 - Prob. 2-4SCCh. 3.3 - Prob. 2-5SCCh. 3.3 - Prob. 2-6SCCh. 3.3 - Prob. 1SECh. 3.3 - Prob. 2SECh. 3.3 - Prob. 3SECh. 3.3 - Prob. 4SECh. 3.3 - Prob. 5SECh. 3.3 - Prob. 6SECh. 3.3 - Prob. 7SECh. 3.3 - Prob. 8SECh. 3.3 - Prob. 9SECh. 3.3 - Prob. 10SECh. 3.3 - Prob. 11SECh. 3.3 - Prob. 12SECh. 3.3 - Prob. 13SECh. 3.3 - Prob. 14SECh. 3.3 - Prob. 15SECh. 3.3 - Prob. 16SECh. 3.3 - Prob. 17SECh. 3.3 - Prob. 18SECh. 3.3 - Prob. 19SECh. 3.3 - Prob. 20SECh. 3 - Prob. 1ESCh. 3 - Prob. 2ESCh. 3 - Prob. 3ESCh. 3 - Prob. 4ESCh. 3 - Prob. 5ESCh. 3 - Prob. 6ESCh. 3 - Prob. 7ESCh. 3 - Prob. 8ESCh. 3 - Prob. 9ESCh. 3 - Prob. 10ESCh. 3 - Prob. 11ESCh. 3 - Prob. 12ESCh. 3 - Prob. 13ESCh. 3 - Prob. 14ESCh. 3 - Prob. 15ESCh. 3 - Prob. 16ESCh. 3 - Prob. 17ESCh. 3 - Prob. 18ESCh. 3 - Prob. 19ESCh. 3 - Prob. 20ESCh. 3 - Prob. 21ESCh. 3 - Prob. 22ESCh. 3 - Prob. 23ESCh. 3 - Prob. 24ESCh. 3 - Prob. 25ESCh. 3 - Prob. 26ESCh. 3 - Prob. 27ESCh. 3 - Prob. 28ESCh. 3 - Prob. 29ESCh. 3 - Prob. 30ESCh. 3 - Prob. 31ESCh. 3 - Prob. 32ESCh. 3 - Prob. 33ESCh. 3 - Prob. 34ESCh. 3 - Prob. 35ESCh. 3 - Prob. 36ESCh. 3 - Prob. 37ESCh. 3 - Prob. 38ESCh. 3 - Prob. 39ESCh. 3 - Prob. 40ESCh. 3 - Prob. 41ESCh. 3 - Prob. 42ESCh. 3 - Prob. 43ESCh. 3 - Prob. 44ESCh. 3 - Prob. 45ESCh. 3 - Prob. 46ESCh. 3 - Prob. 47ESCh. 3 - Prob. 48ESCh. 3 - Prob. 49ESCh. 3 - Prob. 50ESCh. 3 - Prob. 51ESCh. 3 - Prob. 52ESCh. 3 - Prob. 53ESCh. 3 - Prob. 54ESCh. 3 - Prob. 55ESCh. 3 - Prob. 56ESCh. 3 - Prob. 57ESCh. 3 - Prob. 58ESCh. 3 - Prob. 59ESCh. 3 - Prob. 60ESCh. 3 - Prob. 61ESCh. 3 - Prob. 62ESCh. 3 - Prob. 63ESCh. 3 - Prob. 64ESCh. 3 - Prob. 65ESCh. 3 - Prob. 66ESCh. 3 - Prob. 67ESCh. 3 - Prob. 68ESCh. 3 - Prob. 69ESCh. 3 - Prob. 70ESCh. 3 - Prob. 71ESCh. 3 - Prob. 72ESCh. 3 - Prob. 73ESCh. 3 - Prob. 74ESCh. 3 - Prob. 75ESCh. 3 - Prob. 76ESCh. 3 - Prob. 77ESCh. 3 - Prob. 78ESCh. 3 - Prob. 79ESCh. 3 - Prob. 80ESCh. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Prob. 11PTCh. 3 - Prob. 12PTCh. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 20PTCh. 3 - Prob. 21PTCh. 3 - Prob. 22PTCh. 3 - Prob. 23PTCh. 3 - Prob. 24PTCh. 3 - Prob. 25PTCh. 3 - Prob. 26PTCh. 3 - Prob. 27PTCh. 3 - Prob. 28PTCh. 3 - Prob. 29PTCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 1CPCh. 3 - Prob. 2CPCh. 3 - Prob. 1CS1Ch. 3 - Prob. 2CS1Ch. 3 - Prob. 3CS1Ch. 3 - Prob. 4CS1Ch. 3 - Prob. 1CS2Ch. 3 - Prob. 2CS2
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