1. Which of the following is true about 2 equal vectors u and v in R? I. u and v have the same initial point and same length. II. u and v have the same terminal point and same length. III. u and v have the same length and direction. A. I only B. II only C. III only D. Both I & II E. None of these

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Which of the following is true about 2 equal vectors u and v in R?
I. u and v have the same initial point and same length.
II. u and v have the same terminal point and same length.
III. u and v have the same length and direction.
A. I only B. II only C. III only D. Both I & II
E. None of these
2. If u = cos(kx) cosh(2y) is harmonic, which of these can be the value of k?
%3D
В. -2
C. +2
E. None of these
A. 2
D. +4
3. Which of these is true about the function f(z) =?
22+1
A. It is nowhere analytic.
B. It is analytic everywhere except at z = i.
C. It is analytic everywhere except at z = -i.
D. It is analytic everywhere except at z = ti.
E. It is analytic everywhere except at z = 0.
4. Which of these is the resultant of the vectors (-11,12,-21) and
(11,12, 21)?
A. 24i
В. 24)
C. 24k
D. 0
E. None of these
5. The region described by z - 1+ il s 1 is
A. A circle in the first quadrant.
B. A disc in the second quadrant.
C. A circle in the third quadrant.
D. A disc in the fourth quadrant.
E. An annulus.
Transcribed Image Text:1. Which of the following is true about 2 equal vectors u and v in R? I. u and v have the same initial point and same length. II. u and v have the same terminal point and same length. III. u and v have the same length and direction. A. I only B. II only C. III only D. Both I & II E. None of these 2. If u = cos(kx) cosh(2y) is harmonic, which of these can be the value of k? %3D В. -2 C. +2 E. None of these A. 2 D. +4 3. Which of these is true about the function f(z) =? 22+1 A. It is nowhere analytic. B. It is analytic everywhere except at z = i. C. It is analytic everywhere except at z = -i. D. It is analytic everywhere except at z = ti. E. It is analytic everywhere except at z = 0. 4. Which of these is the resultant of the vectors (-11,12,-21) and (11,12, 21)? A. 24i В. 24) C. 24k D. 0 E. None of these 5. The region described by z - 1+ il s 1 is A. A circle in the first quadrant. B. A disc in the second quadrant. C. A circle in the third quadrant. D. A disc in the fourth quadrant. E. An annulus.
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