The Dirac delta function 8(t) may also be characterized by the following two properties. t#0, 0, 8(t) = . and s(t)dt = 1 "infinite," t= 0, Formally using the mean value theorem for definite integrals, verify that if f(t) is continuous, then the above properties imply the following. | f(t)8(t)dt = f(0) State the mean value theorem for definite integrals for a continuous function f(t). There exists a value c in the interval such that f(c) =

The Dirac delta function 8(t) may also be characterized by the following two properties. t#0, 0, 8(t) = . and s(t)dt = 1 "infinite," t= 0, Formally using the mean value theorem for definite integrals, verify that if f(t) is continuous, then the above properties imply the following. | f(t)8(t)dt = f(0) State the mean value theorem for definite integrals for a continuous function f(t). There exists a value c in the interval such that f(c) =

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.CR: Chapter 6 Review

Problem 1CR

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