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(a) Show that d dx [Hint: Use integration by parts.] (b) Let 8(x) be the step function: 0(x) = (8(x)) = -8(x). Show that
![(a) Show that d dx [Hint: Use integration by parts.] (b) Let 8(x) be the step function: 0(x) = (8(x)) =](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2022/06/62bd5f41909cc_1656577857758.jpg)
(a) Show that d dx [Hint: Use integration by parts.] (b) Let 8(x) be the step function: 0(x) = (8(x)) = -8(x). Show that de/dx = 5(x). 1, 0, if x > 0 ::} if x 0
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To solve part a we will use the definition of the delta function in an integral The delta function is a distribution not an ordinary function which ca...
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Calculus Early Transcendentals
Authors: James Stewart
8th edition
1285741552, 9781305482463 , 978-1285741550
