Answers to selected odd-numbered problems begin on page In Problems 1-10, write the given complex number in polar form first using an argument 0 # Arg(2) and then using 0 = Arg(z). 1. 2 2. -10 3. -3і 4. 6i 5. 1+i 6. 5– 5i 7. -V3+i 8. -2—2/3і 3 12 9. -1+i 10. V3+i In Problems 11 and 12, use a calculator to write the given complex number in polar
Answers to selected odd-numbered problems begin on page In Problems 1-10, write the given complex number in polar form first using an argument 0 # Arg(2) and then using 0 = Arg(z). 1. 2 2. -10 3. -3і 4. 6i 5. 1+i 6. 5– 5i 7. -V3+i 8. -2—2/3і 3 12 9. -1+i 10. V3+i In Problems 11 and 12, use a calculator to write the given complex number in polar
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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Transcribed Image Text:EXERCISES 1.3 Answers to selected odd-numbered problems begin on page ANS-2.
In Problems 1-10, write the given complex number in polar form first using an
argument 0 + Arg(z) and then using 0 = Arg(z).
1. 2
2. -10
3. -3i
4. 6i
5. 1+i
6. 5– 5i
7. -V3+i
8. -2 – 2/3i
3
12
9.
-1+i
10.
V3 +i
In Problems 11 and 12, use a calculator to write the given complex number in polar
form first using an argument 0 + Arg(2) and then using 0 = Arg(z).
11. -v2+ vīi
12. -12 – 5i
In Problems 13 and 14, write the complex number whose polar coordinates (r, 0)
are given in the form a + ib. Use a calculator if necessary.
13. (4, —5л/3)
14. (2, 2)
In Problems 15–18, write the complex number whose polar form is given in the form
a + ib. Use a calculator if necessary.
77
+ i sin
6
11т
+i sin
117
15. z = 5 ( cos
16. z =
8/2 cos
10 (c0 + isin )
i sin
5
17. z = 6 (cos
+i sin
18. z =
In Problems 19 and 20, use (6) and (7) to find 2122 and z1/2. Write the number
in the form a + ib.
37
8
37
19. z1 = 2 (cos
+ i sin ")
+i sin
22 = 4
COS
8
v2 (cos - +i sin
+i sin
12
i sin )
20. z1 =
, 22 = V3 (cos
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