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 3E
To determine

To evaluate: The expression (2+5i)(4i) in the form of a+bi.

Expert Solution

Answer to Problem 3E

The value of the expression (2+5i)(4i) is 13+18i.

Explanation of Solution

The product of two complex numbers defined as (a+bi)(c+di)=(acbd)+i(ad+bc).

Thus, the expression (2+5i)(4i) simplified as follows.

(2+5i)(4i)=[2(4)5(1)]+i[2(1)+5(4)]=(8+5)+i(2+20)=13+18i

Therefore, the value of the expression (2+5i)(4i) is 13+18i.

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