Advanced Engineering Mathematics
6th Edition
ISBN: 9781284105902
Author: Dennis G. Zill
Publisher: Jones & Bartlett Learning
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Chapter 10.1, Problem 12E
To determine
To verify: The
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1. Solve for x and y in xy + 8 + j(x²y + y) = 4x + 4 + j(xy² + x)
A. 2, 2,
B. 2,3
C. 3, 2
2. Determine the principal value of (3 + j4)¹ +²
+j2
A. 0.42+j0.56
C. -0.42-j0.66,
B. 0.42+j0.66
D. 0.42-j0.66
3. Using the properties of complex numbers. determine the two square roots of 3-j2
A. +1.82+j0.55,
C. 1.82 + j0.55
B. +1.82±j0.55
D. +1.82 + j0.55
4. Evaluate:
BE CALC
3-14 3+14
+
3+j4
3-j4
A. 2.44 +j4/
B. 2.44-j4
C. -2.44 + j4
D. 2.44 +j5
Evaluate log; (3 + j4).
A. 0.6+j1.02
C. -0.6-j1.02
B. -0.6+j1.02
D. 0.6-j1.02,
6.
The following three vectors are given; A = 20 +j20, B = 30/120° and C= 10+ j0, find AB/C
C. 95/-50°
B. 85-75%
A. 70/45°
D. 75/70"
7. If 100+5x/45° = 200/-e. Find x and 8.
A. 24. 23.28
B. 23.28. 32.3°
C. 23.28. 24.3%
D. 23, 42.8°
8. Determine the principal value of cosh' (j0.5).
A. In (1+j5)
C. In j5
B. In (1± √5),
D. In j(1 + √5)
2
5 1
=
9. In A-2B-C=0. if A=
2B-C-0. if A- and B-₁ find C
|² -1
3
2
3
8
-3
8
3
91
C.
A.
3
0
0
-3
-8
-8
-3
3
D.
B.
|
3 0
-3
10. Solve for a and b…
2. Which of the following is a general solution to the following:
x²y" + xy' + (36x² - 1) y
(Hint: As discussed in the lecture, use Y, only when J, and J-, are linearly dependent).
A. y = c₁J₁(2x) + C₂J_1(2x)
6
B. y = C₁J₁(x) + C₂Y₁(x)
3
3
C. y = c₁₂/₁(6x) + C₂Y₁(6x)
0
D. y = c₁J₁(6x) + c₂] _1(6x)
2
1.
2.
3.
Write v as a linear combination of u and w, if possible, where u = (2, 3) and w = (1, -1). (Enter your answer in terms of u
and w. If not possible, enter IMPOSSIBLE.)
v = (-2, -3)
V =
Solve for w where u = (1, 0, -1, 1) and v = (2, 0, 3, -1).
w + 2v = -4u
W =
Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)
S = {(2, -1, 3), (5, 0, 4))
(a)
z = (7, -6, 14).
Z=
(b) v =
V =
(c) w = (3,-9, 15)
W =
(d)
v = (18, - 1, 59)
)$₁
U=
$₁ +
u = (2, 1, -1)
)$₁
Chapter 10 Solutions
Advanced Engineering Mathematics
Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10E
Ch. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - Prob. 38ECh. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 55ECh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.5 - Prob. 1ECh. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - Prob. 5ECh. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - Prob. 3CRCh. 10 - Prob. 4CRCh. 10 - Prob. 5CRCh. 10 - Prob. 6CRCh. 10 - Prob. 7CRCh. 10 - Prob. 8CRCh. 10 - Prob. 9CRCh. 10 - Prob. 10CRCh. 10 - Prob. 11CRCh. 10 - Prob. 12CRCh. 10 - Prob. 13CRCh. 10 - Prob. 14CRCh. 10 - Prob. 15CRCh. 10 - Prob. 16CR
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