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e) Show a proof by induction for the equation, the factorial integral. n! = r"e= dx.

e) Show a proof by induction for the equation, the factorial integral. n! = r"e= dx.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Part E please.
1)What is the following probabilities for a series of coin tosses: • A. 20 flips, 4 heads • B. 50 flips, 10 heads • C. 50 flips,20 heads • D. Plot the expected number of heads as a function of the number of the number Of heads for a set of 100 coin flips. e) Show a proof by induction for the equation, the factorial integral. n! = x"e¬ª dx. f) Calculate (via numerical integration or other method) the value of the gamma function for n=10.5 & n=11.5. Then Compare the values to the factorial integral values for n=10,11 & 12.
Transcribed Image Text:1)What is the following probabilities for a series of coin tosses: • A. 20 flips, 4 heads • B. 50 flips, 10 heads • C. 50 flips,20 heads • D. Plot the expected number of heads as a function of the number of the number Of heads for a set of 100 coin flips. e) Show a proof by induction for the equation, the factorial integral. n! = x"e¬ª dx. f) Calculate (via numerical integration or other method) the value of the gamma function for n=10.5 & n=11.5. Then Compare the values to the factorial integral values for n=10,11 & 12.
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