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EXERCISES 1.1 Answers to selected odd-numbered problems begin on page ANS-2. 1. Evaluate the following powers of i. (a) i8 (b) i!l (c) i42 (d) i105 2. Write the given number in the form a + ib. (a) 2i3 – 3i2 + 5i (b) 3i – i4 + 7i3 – 10i2 – 9 2 20 (c) (d) 2i° + + 5i-5 - 12i 18 In Problems 3-20 write the given number in the form a +ih

EXERCISES 1.1 Answers to selected odd-numbered problems begin on page ANS-2. 1. Evaluate the following powers of i. (a) i8 (b) i!l (c) i42 (d) i105 2. Write the given number in the form a + ib. (a) 2i3 – 3i2 + 5i (b) 3i – i4 + 7i3 – 10i2 – 9 2 20 (c) (d) 2i° + + 5i-5 - 12i 18 In Problems 3-20 write the given number in the form a +ih

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 41E
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(ii) Some things that we take for granted as impossible in real analysis, such as et = -2 and sin x = 5 when x is a real variable, are per- fectly correct and ordinary in complex analysis when the symbol r is interpreted as a complex variable. See Example 3 in Section 4.1 and Example 2 in Section 4.3. We will continue to point out other differences between real analysis and complex analysis throughout the remainder of the text. EXERCISES 1.1 Answers to selected odd-numbered problems begin on page ANS-2. 1. Evaluate the following powers of i. (a) ¿8 (b) il1 (c) i42 (d) ¿205 2. Write the given number in the form a + ib. (a) 2i3 – 3i2 + 5i (b) 3i – i4 + 7i3 – 10i2 – 9 2 20 (c) (d) 2:° + + 5i-5 - 12i i18 -2 In Problems 3-20 write the given number in the form a + ih
Transcribed Image Text:(ii) Some things that we take for granted as impossible in real analysis, such as et = -2 and sin x = 5 when x is a real variable, are per- fectly correct and ordinary in complex analysis when the symbol r is interpreted as a complex variable. See Example 3 in Section 4.1 and Example 2 in Section 4.3. We will continue to point out other differences between real analysis and complex analysis throughout the remainder of the text. EXERCISES 1.1 Answers to selected odd-numbered problems begin on page ANS-2. 1. Evaluate the following powers of i. (a) ¿8 (b) il1 (c) i42 (d) ¿205 2. Write the given number in the form a + ib. (a) 2i3 – 3i2 + 5i (b) 3i – i4 + 7i3 – 10i2 – 9 2 20 (c) (d) 2:° + + 5i-5 - 12i i18 -2 In Problems 3-20 write the given number in the form a + ih
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