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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Chapter C, Problem 1E

Practice Exercises

Complex operations Let z = −2 + 5i and w = 3 – 4i. Compute the following questions.

1. z + 3w

Expert Solution & Answer
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To determine

To compute: The complex quantity z+3w.

Answer to Problem 1E

The value of the complex quantity z+3w is 77i.

Explanation of Solution

Given:

The complex values of z=2+5i and w=34i.

Calculation:

Substitute the values of z and w in the complex quantity z+3w and obtain the value as,

z+3w=(2+5i)+3(34i)=2+5i+912i=(2+9)+(5i12i)=7+(512)i

That is, z+3w=77i.

Therefore, the value of the complex quantity z+3w is 77i.

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