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

Question

Want to see more full solutions like this?

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

An engineer is designing a pipeline which is supposed to connect two points P and S. The engineer decides to do it in three sections. The first section runs from point P to point Q, and costs $48 per mile to lay, the second section runs from point Q to point R and costs $54 per mile, the third runs from point R to point S and costs $44 per mile. Looking at the diagram below, you see that if you know the lengths marked x and y, then you know the positions of Q and R. Find the values of x and y which minimize the cost of the pipeline. Please show your answers to 4 decimal places. 2 Miles x = 1 Mile R 10 miles miles y = miles

An open-top rectangular box is being constructed to hold a volume of 150 in³. The base of the box is made from a material costing 7 cents/in². The front of the box must be decorated, and will cost 11 cents/in². The remainder of the sides will cost 3 cents/in². Find the dimensions that will minimize the cost of constructing this box. Please show your answers to at least 4 decimal places. Front width: Depth: in. in. Height: in.

Find and classify the critical points of z = (x² – 8x) (y² – 6y). Local maximums: Local minimums: Saddle points: - For each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. Enter DNE if there are no points for a classification.

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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

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

Concept explainers

Videos

Answer to Problem 1E

Explanation of Solution

Want to see more full solutions like this?

Chapter C Solutions

Additional Math Textbook Solutions