Practice Exercises Complex operations Let z = −2 + 5 i and w = 3 – 4 i . Compute the following questions. 1. z + 3 w

Question

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Answer 1

Textbook Question

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

To determine

To compute: The complex quantity z+3w.

Answer to Problem 1E

The value of the complex quantity z+3w is 7−7i.

Explanation of Solution

Given:

The complex values of z=−2+5i and w=3−4i.

Calculation:

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

z+3w=(−2+5i)+3(3−4i)=−2+5i+9−12i=(−2+9)+(5i−12i)=7+(5−12)i

That is, z+3w=7−7i.

Therefore, the value of the complex quantity z+3w is 7−7i.

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Answer 2

Textbook Question

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

To determine

To compute: The complex quantity z+3w.

Answer to Problem 1E

The value of the complex quantity z+3w is 7−7i.

Explanation of Solution

Given:

The complex values of z=−2+5i and w=3−4i.

Calculation:

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

z+3w=(−2+5i)+3(3−4i)=−2+5i+9−12i=(−2+9)+(5i−12i)=7+(5−12)i

That is, z+3w=7−7i.

Therefore, the value of the complex quantity z+3w is 7−7i.

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Answer 3

Textbook Question

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

To determine

To compute: The complex quantity z+3w.

Answer to Problem 1E

The value of the complex quantity z+3w is 7−7i.

Explanation of Solution

Given:

The complex values of z=−2+5i and w=3−4i.

Calculation:

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

z+3w=(−2+5i)+3(3−4i)=−2+5i+9−12i=(−2+9)+(5i−12i)=7+(5−12)i

That is, z+3w=7−7i.

Therefore, the value of the complex quantity z+3w is 7−7i.

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Answer 4

Textbook Question

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

To determine

To compute: The complex quantity z+3w.

Answer to Problem 1E

The value of the complex quantity z+3w is 7−7i.

Explanation of Solution

Given:

The complex values of z=−2+5i and w=3−4i.

Calculation:

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

z+3w=(−2+5i)+3(3−4i)=−2+5i+9−12i=(−2+9)+(5i−12i)=7+(5−12)i

That is, z+3w=7−7i.

Therefore, the value of the complex quantity z+3w is 7−7i.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

To compute: The complex quantity z+3w.

Answer to Problem 1E

The value of the complex quantity z+3w is 7−7i.

Explanation of Solution

Given:

The complex values of z=−2+5i and w=3−4i.

Calculation:

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

z+3w=(−2+5i)+3(3−4i)=−2+5i+9−12i=(−2+9)+(5i−12i)=7+(5−12)i

That is, z+3w=7−7i.

Therefore, the value of the complex quantity z+3w is 7−7i.

Answer 8

Expert Solution & Answer

To determine

To compute: The complex quantity z+3w.

Answer to Problem 1E

The value of the complex quantity z+3w is 7−7i.

Explanation of Solution

Given:

The complex values of z=−2+5i and w=3−4i.

Calculation:

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

z+3w=(−2+5i)+3(3−4i)=−2+5i+9−12i=(−2+9)+(5i−12i)=7+(5−12)i

That is, z+3w=7−7i.

Therefore, the value of the complex quantity z+3w is 7−7i.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

To compute: The complex quantity z+3w.

Answer 12

Answer to Problem 1E

The value of the complex quantity z+3w is 7−7i.

Answer 13

Explanation of Solution

Given:

The complex values of z=−2+5i and w=3−4i.

Calculation:

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

z+3w=(−2+5i)+3(3−4i)=−2+5i+9−12i=(−2+9)+(5i−12i)=7+(5−12)i

That is, z+3w=7−7i.

Therefore, the value of the complex quantity z+3w is 7−7i.

Answer 14

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

Practice Exercises Complex operations Let z = −2 + 5 i and w = 3 – 4 i . Compute the following questions. 1. z + 3 w

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Answer to Problem 1E

Explanation of Solution

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