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 =...


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

Extracted 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

Jun 05, 2022
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