A First Course in Differential Equations with Modeling Applications (MindTap Course List)
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
11th Edition
ISBN: 9781305965720
Author: Dennis G. Zill
Publisher: Cengage Learning
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Textbook Question
Chapter A, Problem 1E

In Problems 1 and 2 evaluate the given quantity.

1. Γ(6)

Expert Solution & Answer
Check Mark
To determine

The quantity Γ(6) using Gamma Function.

Answer to Problem 1E

The value of Γ(6) is 120_.

Explanation of Solution

Given:

The quantity is Γ(6).

Calculation:

The quantity is Γ(6).

It is known that, the value of gamma function for any positive whole number n is given as Γn=(n1)!.

It is given that, the value of n is 6.

The value of Γ(6) is calculated as follows.

Γ(6)=(61)!=5!=5×4×3×2×1=120

Thus, the value of Γ(6) is 120_.

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