Explanation Formula used: The polar form of z = x + i y is z = r e i θ , where r = x 2 + y 2 and θ = tan − 1 ( y x ) . Suppose α = tan − 1 | y x | argument of a complex number z = x + i y is given as, z lies in first quadrant θ = α z lies in second quadrant θ = π − α z lies in third quadrant θ = − π + α z lies in fourth quadrant θ = − α Table 1 Calculation: Compute r and θ as follows. r = | 3 ( 1 − i ) | = | 3 − 3 i | = ( 3 ) 2 + ( − 3 )

Calculus: Single Variable, Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)

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ISBN: 9780134996714

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Chapter C, Problem 38E

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To compute: The polar form of the complex number z=3(1−i).

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Chapter C, Problem 37E

Chapter C, Problem 39E

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Chapter C Solutions

Calculus: Single Variable, Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)

Ch. C - Practice Exercises Complex operations Let z = 2 +...Ch. C - Prob. 2E Ch. C - Prob. 3E Ch. C - Prob. 4E Ch. C - Prob. 5E Ch. C - Prob. 6E Ch. C - Prob. 7E Ch. C - Prob. 8E Ch. C - Prob. 9E Ch. C - Prob. 10E

Ch. C - Prob. 11E Ch. C - Prob. 12E Ch. C - Prob. 13E Ch. C - Prob. 14E Ch. C - Prob. 15E Ch. C - Prob. 16E Ch. C - Prob. 17E Ch. C - Prob. 18E Ch. C - Prob. 19E Ch. C - Prob. 20E Ch. C - Prob. 21E Ch. C - Prob. 22E Ch. C - Prob. 23E Ch. C - Prob. 24E Ch. C - Prob. 25E Ch. C - Prob. 26E Ch. C - Prob. 27E Ch. C - Prob. 28E Ch. C - Prob. 29E Ch. C - Prob. 30E Ch. C - Prob. 31E Ch. C - Prob. 32E Ch. C - Prob. 33E Ch. C - Prob. 34E Ch. C - Prob. 35E Ch. C - Prob. 36E Ch. C - Prob. 37E Ch. C - Prob. 38E Ch. C - Prob. 39E Ch. C - Prob. 40E Ch. C - Prob. 41E Ch. C - Prob. 42E Ch. C - Prob. 43E Ch. C - Prob. 44E Ch. C - Prob. 45E Ch. C - Prob. 46E Ch. C - Prob. 47E Ch. C - Prob. 48E Ch. C - Prob. 49E Ch. C - Prob. 50E Ch. C - Prob. 51E Ch. C - Prob. 52E Ch. C - Prob. 53E Ch. C - Prob. 54E Ch. C - Prob. 55E Ch. C - Prob. 56E Ch. C - Prob. 57E Ch. C - Prob. 58E Ch. C - Prob. 59E Ch. C - Prob. 60E Ch. C - Prob. 61E

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The polar form of the complex number z = 3 ( 1 − i ) .

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Chapter C Solutions