Question 21. Let i denote the square root of – 1. Suppose w =2– 3i. Find three cube roots of w in the exponential form. Note the arguments should be given as principal arguments [–r, n) in radians up to 3 decimal places. a) wo = V13e0.328i w = V13e2422i w2 = V13e4.516i b) wo = V13e-0.328i c) wo = V13e-0.983/ d) wo = V13e-0.328i, wi = V13e2.422i, w2 = V13e-1.767i w = V13e2.422i, w2 = V13e-1.767i w1 = V13e5.3001 w2 = V13el1.5831 e) not in the list Question 22. Let i denote the square root of – 1. Suppose z = 5+2i and w = -3 – i. Find a complex number p such that zwp = i. (a] }- 7i (b] [e] not in the list 13 290 [d] 13+1li 290 290 Question 23. The points P and P, have position vectors relative to the origin O: ñ = 7+j-2k ñ = 37-j+k, respectively. Find the Cartesian equation of the line in 3 dimensions which passes through point P, having the same direction as the vector ñɔ. [a] 붕3D%3D [b] 3D박 %3D 무 [e] not in the list
Question 21. Let i denote the square root of – 1. Suppose w =2– 3i. Find three cube roots of w in the exponential form. Note the arguments should be given as principal arguments [–r, n) in radians up to 3 decimal places. a) wo = V13e0.328i w = V13e2422i w2 = V13e4.516i b) wo = V13e-0.328i c) wo = V13e-0.983/ d) wo = V13e-0.328i, wi = V13e2.422i, w2 = V13e-1.767i w = V13e2.422i, w2 = V13e-1.767i w1 = V13e5.3001 w2 = V13el1.5831 e) not in the list Question 22. Let i denote the square root of – 1. Suppose z = 5+2i and w = -3 – i. Find a complex number p such that zwp = i. (a] }- 7i (b] [e] not in the list 13 290 [d] 13+1li 290 290 Question 23. The points P and P, have position vectors relative to the origin O: ñ = 7+j-2k ñ = 37-j+k, respectively. Find the Cartesian equation of the line in 3 dimensions which passes through point P, having the same direction as the vector ñɔ. [a] 붕3D%3D [b] 3D박 %3D 무 [e] not in the list
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Foundation Student Handbook x - Course: Science and Engineeri X
9 SAMPLE-final exam_SEF041_2 X
b Verify Email | bartleby
(2 unread) - redb186@yahoo.c x +
qmplus.qmul.ac.uk/pluginfile.php/2633177/mod_resource/content/1/SAMPLE-final%20exam_SEF041_2021.pdf
A
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Question 21. Let i denote the square root of -1. Suppose w=2– 3i. Find three cube roots of w in
the exponential form.
Note the arguments should be given as principal arguments [-T, T) in radians up to 3 decimal places.
|
a) wo = V13e0.3:
,-0.328i
b) wo = V13e
,-0.983i
c) wo = V13e
V13e-0.328i
W1 = V13e2.422i
Wi = V13e2.422i
Wi = V13e5.300i
V13e2.422i
w2 = V13e4.516i
,-1.767i
= V13e-
W2 = V13el1.583i
W2 = V13e-1.767i
d) wo
W1
||
e) not in the list
Question 22. Let i denote the square root of -1. Suppose z = 5+2i and w =-3– i.
Find a complex number p such that zwp = i..
4
[a] - 7i
[b] $
2
13
[e]
not in the list
[c] - -
13+11i
290
11
13
290
[d]
290
Question 23. The points P and P2 have position vectors relative to the origin O:
i+j–2k
37– 3+k,
respectively.
Find the Cartesian equation of the line in 3 dimensions which passes through point P↑ having the same
direction as the vector r2.
[a] =4 =
[b] = =
[e]
not in the list
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa97c26bb-3096-4b0b-9c31-a57e979426e6%2Fdc94b8d3-8abc-4c71-aab7-803f7fb6574b%2Frc9gqli_processed.png&w=3840&q=75)
Transcribed Image Text:Foundation Student Handbook x - Course: Science and Engineeri X
9 SAMPLE-final exam_SEF041_2 X
b Verify Email | bartleby
(2 unread) - redb186@yahoo.c x +
qmplus.qmul.ac.uk/pluginfile.php/2633177/mod_resource/content/1/SAMPLE-final%20exam_SEF041_2021.pdf
A
Update :
Apps
Мaps
G Google
Mail - Ai'Sha Inay...
N Netflix
a Amazon.co.uk
Disney+ | Streami..
Course: Science a...
M Maths Genie - A L...
Edexcel AS Pure...
Reading List
>>
SAMPLE-final exam_SEF041_2021.pdf
6 / 7
129%
+ |
Question 21. Let i denote the square root of -1. Suppose w=2– 3i. Find three cube roots of w in
the exponential form.
Note the arguments should be given as principal arguments [-T, T) in radians up to 3 decimal places.
|
a) wo = V13e0.3:
,-0.328i
b) wo = V13e
,-0.983i
c) wo = V13e
V13e-0.328i
W1 = V13e2.422i
Wi = V13e2.422i
Wi = V13e5.300i
V13e2.422i
w2 = V13e4.516i
,-1.767i
= V13e-
W2 = V13el1.583i
W2 = V13e-1.767i
d) wo
W1
||
e) not in the list
Question 22. Let i denote the square root of -1. Suppose z = 5+2i and w =-3– i.
Find a complex number p such that zwp = i..
4
[a] - 7i
[b] $
2
13
[e]
not in the list
[c] - -
13+11i
290
11
13
290
[d]
290
Question 23. The points P and P2 have position vectors relative to the origin O:
i+j–2k
37– 3+k,
respectively.
Find the Cartesian equation of the line in 3 dimensions which passes through point P↑ having the same
direction as the vector r2.
[a] =4 =
[b] = =
[e]
not in the list
II
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