BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter I, Problem 17E
To determine

To find: The complex conjugate and modulus of the number 4i.

Expert Solution

Answer to Problem 17E

The complex conjugate of the number 4i is 4i.

The modulus of the number 4i is 4.

Explanation of Solution

Obtain the complex conjugate of number 4i.

Use the property of conjugates z+w¯=z¯+w¯ and zw¯=z¯w¯ to simplify the expression as follows.

4i¯=4¯(i¯)=4(i)[i¯=i]=4i

Thus, the complex conjugate of the number 4i is 4i.

The modulus of a complex number z=a+ib is |z|=a2+b2.

Obtain the modulus of the number 4i.

|4i|=02+(4)2=0+16=16=4

Thus, the modulus of the number 4i is 4.

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