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Single Variable Calculus

8th Edition
James Stewart
ISBN: 9781305266636

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus

8th Edition
James Stewart
ISBN: 9781305266636
Textbook Problem

Write the number in the form a + bi.

46. eπ+i

To determine

To write: The number eπ+i in the form a+bi.

Explanation

Formula used:

Euler’s formula:

eiy=cosy+isiny

Calculation:

Simplify the number eπ+i by using Euler’s formula as follows.

eπ+i=eπei=eπ(

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