MML F/COLLEGE MAT F/TRADES - ACCESS CODE
10th Edition
ISBN: 9781323845967
Author: Hobbs
Publisher: PEARSON
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Chapter 20.3, Problem 17E
To determine
To compare: The graph of the functions
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The general solution of the linear system X' = AX is given.
-6
^ - (-3 %).
A
-5 4
-t
()()()]
x(t) = c₁
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te + 1 e
(a) In this case discuss the nature of the solutions in a neighborhood of (0, 0).
All solutions spiral toward (0, 0).
O All solutions become unbounded and y = x serves as the asymptote.
O
All solutions approach (0, 0) from the direction specified by y = x.
If X(0) = X lies on the line x = 0, then X(t) approaches (0, 0) along this line. Otherwise x(t) approaches (0, 0) from the direction
determined by y = x.
If X(0) = X lies on the line y = x, then X(t) approaches (0, 0) along this line. Otherwise x(t) approaches (0, 0) from the direction
determined by x = 0.
(b) With the aid of a calculator or a CAS graph the solution that satisfies X(0) = (1, 1).
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03: Let V = H(n), n≤ R,
a(u,v) = (f, v)
a(u,v) = Vu. Vv dx, and (f,v) =
(a) Show that the finite element solution un unique.
(b) Prove that || ≤ch ||||2
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(c) Given the triangulation of figure, determine
the basis function and compute the integrals:
So 4 dx, Sox
where
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The general solution of the linear system X' = AX is given.
A =
= (³ -2).
x(t) = c₁
c₁(1) et.
et + c₂
e-t
3
3
(a) In this case discuss the nature of the solution in a neighborhood of (0, 0).
O All solutions become unbounded and y = 3x serves as the asymptote.
O All solutions become unbounded and y = x serves as the asymptote.
If X(0) = X lies on the line y = x, then x(t) approaches (0, 0) along this line. Otherwise X(t) becomes unbounded and y = 3x serves as an
asymptote.
If X(0) = X lies on the line y = 3x, then x(t) approaches (0, 0) along this line. Otherwise x(t) becomes unbounded and y = x serves as an
asymptote.
O All solutions spiral toward (0, 0).
(b) With the aid of a calculator or a CAS, graph the solution that satisfies X(0) = (1, 1).
2
1
(1, 1)
x
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-1
1
2
4
-2
2
1
(1, 1)
4
2
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(1, 1)
2
x
4
-4
i
2
(1, 1)
1
x
1
2
2
1
1
2
x
Chapter 20 Solutions
MML F/COLLEGE MAT F/TRADES - ACCESS CODE
Ch. 20.1 - Prob. 1LCCh. 20.1 - Prob. 1ECh. 20.1 - Prob. 2ECh. 20.1 - Prob. 3ECh. 20.1 - Prob. 4ECh. 20.1 - Prob. 5ECh. 20.1 - Prob. 6ECh. 20.1 - Prob. 7ECh. 20.1 - Prob. 8ECh. 20.1 - Prob. 9E
Ch. 20.1 - Prob. 10ECh. 20.1 - Prob. 11ECh. 20.1 - Prob. 12ECh. 20.1 - Prob. 13ECh. 20.1 - Prob. 14ECh. 20.1 - Prob. 15ECh. 20.1 - Prob. 16ECh. 20.1 - Prob. 17ECh. 20.1 - Prob. 18ECh. 20.1 - Prob. 19ECh. 20.1 - Prob. 20ECh. 20.1 - Prob. 21ECh. 20.1 - Prob. 22ECh. 20.1 - Prob. 23ECh. 20.1 - Prob. 24ECh. 20.1 - Prob. 25ECh. 20.1 - Prob. 26ECh. 20.1 - Prob. 27ECh. 20.1 - Prob. 28ECh. 20.1 - Prob. 29ECh. 20.1 - Prob. 30ECh. 20.1 - Prob. 31ECh. 20.1 - Prob. 32ECh. 20.2 - Prob. 1LCCh. 20.2 - Prob. 2LCCh. 20.2 - Prob. 1ECh. 20.2 - Prob. 2ECh. 20.2 - Prob. 3ECh. 20.2 - Prob. 4ECh. 20.2 - Prob. 5ECh. 20.2 - Prob. 6ECh. 20.2 - Prob. 7ECh. 20.2 - Prob. 8ECh. 20.2 - Prob. 9ECh. 20.2 - Prob. 10ECh. 20.2 - Prob. 11ECh. 20.2 - Prob. 12ECh. 20.2 - Prob. 13ECh. 20.2 - Prob. 14ECh. 20.2 - Prob. 15ECh. 20.2 - Prob. 16ECh. 20.2 - Prob. 17ECh. 20.2 - Prob. 18ECh. 20.2 - Prob. 19ECh. 20.2 - Prob. 20ECh. 20.2 - Prob. 21ECh. 20.2 - Prob. 22ECh. 20.2 - Prob. 23ECh. 20.2 - Prob. 24ECh. 20.2 - Prob. 25ECh. 20.3 - Prob. 1LCCh. 20.3 - Prob. 2LCCh. 20.3 - Evaluate.
Ch. 20.3 - Prob. 4LCCh. 20.3 - Prob. 1ECh. 20.3 - Prob. 2ECh. 20.3 - Prob. 3ECh. 20.3 - Prob. 4ECh. 20.3 - Prob. 5ECh. 20.3 - Prob. 6ECh. 20.3 - Prob. 7ECh. 20.3 - Prob. 8ECh. 20.3 - Prob. 9ECh. 20.3 - Prob. 10ECh. 20.3 - Prob. 11ECh. 20.3 - Prob. 12ECh. 20.3 - Prob. 13ECh. 20.3 - Prob. 14ECh. 20.3 - Prob. 15ECh. 20.3 - Prob. 16ECh. 20.3 - Prob. 17ECh. 20.3 - Prob. 18ECh. 20.3 - Prob. 19ECh. 20.3 - Prob. 20ECh. 20.3 - Prob. 21ECh. 20.3 - Prob. 22ECh. 20.3 - Prob. 23ECh. 20.3 - Prob. 24ECh. 20.3 - Prob. 25ECh. 20.3 - Prob. 26ECh. 20.3 - Prob. 27ECh. 20.3 - Prob. 28ECh. 20.3 - Prob. 29ECh. 20.3 - Prob. 30ECh. 20.3 - Prob. 31ECh. 20.3 - Prob. 32ECh. 20.3 - Prob. 33ECh. 20.3 - Prob. 34ECh. 20.3 - Prob. 35ECh. 20.3 - Prob. 36ECh. 20.3 - Prob. 37ECh. 20.3 - Prob. 38ECh. 20.3 - Prob. 39ECh. 20.3 - Prob. 40ECh. 20.3 - Prob. 41ECh. 20.3 - Prob. 42ECh. 20.3 - Prob. 43ECh. 20.3 - Prob. 44ECh. 20.3 - Prob. 45ECh. 20.3 - Prob. 46ECh. 20.3 - Prob. 47ECh. 20.4 - Evaluate to four significant digits.
Ch. 20.4 - Prob. 1ECh. 20.4 - Prob. 2ECh. 20.4 - Prob. 3ECh. 20.4 - Prob. 4ECh. 20.4 - Prob. 5ECh. 20.4 - Prob. 6ECh. 20.4 - Prob. 7ECh. 20.4 - Prob. 8ECh. 20.4 - Prob. 9ECh. 20.4 - Prob. 10ECh. 20.4 - Prob. 11ECh. 20.4 - Prob. 12ECh. 20.4 - Prob. 13ECh. 20.4 - Prob. 14ECh. 20.4 - Prob. 15ECh. 20.4 - Prob. 16ECh. 20.4 - Prob. 17ECh. 20.4 - Prob. 18ECh. 20.4 - Prob. 19ECh. 20.4 - Prob. 20ECh. 20.4 - Prob. 21ECh. 20.4 - Prob. 22ECh. 20.5 - Prob. 1LCCh. 20.5 - Prob. 1ECh. 20.5 - Prob. 2ECh. 20.5 - Prob. 3ECh. 20.5 - Prob. 4ECh. 20.5 - Prob. 5ECh. 20.5 - Find the three angles of each triangle. Round...Ch. 20.5 - Prob. 7ECh. 20.5 - Prob. 8ECh. 20.5 - Prob. 9ECh. 20.5 - Prob. 10ECh. 20.5 - CON A hill is inclined 20° to the horizontal. A...Ch. 20.5 - Prob. 12ECh. 20 - Prob. 1RECh. 20 - Prob. 2RECh. 20 - Prob. 3RECh. 20 - Prob. 4RECh. 20 - Prob. 5RECh. 20 - Prob. 6RECh. 20 - Prob. 7RECh. 20 - Prob. 8RECh. 20 - Prob. 9RECh. 20 - Prob. 10RECh. 20 - Prob. 11RECh. 20 - Prob. 12RECh. 20 - Prob. 13RECh. 20 - Prob. 14RECh. 20 - Prob. 15RECh. 20 - Prob. 16RECh. 20 - Prob. 17RECh. 20 - Prob. 18RECh. 20 - Prob. 19RECh. 20 - Prob. 20RECh. 20 - Prob. 21RECh. 20 - Prob. 22RECh. 20 - Prob. 23RECh. 20 - Prob. 24RECh. 20 - Prob. 25RECh. 20 - Prob. 26RECh. 20 - Prob. 27RECh. 20 - Prob. 28RECh. 20 - Prob. 29RECh. 20 - Prob. 30RECh. 20 - Prob. 31RECh. 20 - Prob. 32RECh. 20 - Prob. 33RECh. 20 - Prob. 34RECh. 20 - Prob. 35RECh. 20 - Prob. 36RECh. 20 - Prob. 37RECh. 20 - Prob. 38RECh. 20 - Prob. 39RECh. 20 - Prob. 40RECh. 20 - Solve the triangles. If a triangle has two...Ch. 20 - Prob. 42RECh. 20 - Prob. 43RECh. 20 - Prob. 44RECh. 20 - Prob. 45RECh. 20 - Prob. 46RECh. 20 - Prob. 47RECh. 20 - Prob. 48RECh. 20 - Solve the exercises. Round sides to four...Ch. 20 - Prob. 50RECh. 20 - Prob. 51RECh. 20 - Prob. 1CACh. 20 - Prob. 2CACh. 20 - Prob. 3CACh. 20 - Prob. 4CACh. 20 - Prob. 5CACh. 20 - Prob. 6CACh. 20 - Prob. 7CACh. 20 - Prob. 8CACh. 20 - Prob. 9CACh. 20 - Prob. 10CACh. 20 - Prob. 11CACh. 20 - Prob. 12CACh. 20 - Prob. 13CACh. 20 - Prob. 14CACh. 20 - Prob. 15CACh. 20 - Prob. 16CACh. 20 - Prob. 1PTCh. 20 - Prob. 2PTCh. 20 - Prob. 3PTCh. 20 - Prob. 4PTCh. 20 - Prob. 5PTCh. 20 - Prob. 6PTCh. 20 - Prob. 7PTCh. 20 - Prob. 8PTCh. 20 - Prob. 9PTCh. 20 - Prob. 10PTCh. 20 - Prob. 11PTCh. 20 - Prob. 12PTCh. 20 - Prob. 13PTCh. 20 - Prob. 14PTCh. 20 - Prob. 15PTCh. 20 - Prob. 16PTCh. 20 - Prob. 17PTCh. 20 - Prob. 18PTCh. 20 - Prob. 19PTCh. 20 - Prob. 20PTCh. 20 - Prob. 21PTCh. 20 - A rod 11 cm long joins a crank 20 cm long to form...Ch. 20 - Prob. 23PTCh. 20 - Prob. 24PTCh. 20 - Prob. 1CPTCh. 20 - Prob. 2CPTCh. 20 - Prob. 3CPTCh. 20 - Prob. 4CPTCh. 20 - Prob. 5CPTCh. 20 - Prob. 6CPTCh. 20 - Prob. 7CPTCh. 20 - Prob. 8CPTCh. 20 - Prob. 9CPTCh. 20 - Prob. 10CPTCh. 20 - Prob. 11CPTCh. 20 - Prob. 12CPTCh. 20 - Prob. 13CPTCh. 20 - Find the resultant vector of the vectors that have...Ch. 20 - Prob. 15CPTCh. 20 - Prob. 16CPTCh. 20 - Prob. 17CPTCh. 20 - Prob. 18CPTCh. 20 - Prob. 19CPTCh. 20 - Prob. 20CPT
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