Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 79, Problem 11A
To determine
The location of the points plotted on the Cartesian coordinate plane.
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Theorem:- if A 2×2 prove i-
At = 2 Re(Q)
where
Q₁
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21-12
Q2 =
(A-2, 1)
72-71
if 21 = 2
Theorem: show that XCH) = M(E) M" (6) E +
t
Mcfic
S
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Solution of ODE
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x = ACE) x + g (t) + X (E) - E
5. (a) State the Residue Theorem. Your answer should include all the conditions required
for the theorem to hold.
(4 marks)
(b) Let y be the square contour with vertices at -3, -3i, 3 and 3i, described in the
anti-clockwise direction. Evaluate
に
dz.
You must check all of the conditions of any results that you use.
(5 marks)
(c) Evaluate
L
You must check all of the conditions of any results that you use.
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x sin(Tx)
x²+2x+5
da.
(11 marks)
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