2.9. Let X have density 1 π(1+x²) ¹ known as a Cauchy density. Show that fx(x)= = TER, Fx (t) = 1/2 + (1/7) arctant.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 5E
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2.9. Let X have density
fx(x) =
1
π(1+x²)'
known as a Cauchy density. Show that
TER,
Fx (t) = 1/2 + (1/T) arctant.
Transcribed Image Text:2.9. Let X have density fx(x) = 1 π(1+x²)' known as a Cauchy density. Show that TER, Fx (t) = 1/2 + (1/T) arctant.
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