H is the Heaviside function, defined by Assume that is defined and continuous for all x Under what condition on are we assured that the function g, defined by g(x) H(x a) (x), is continuous H(x) 6 0 when x 0 1 when x 0...

First note that ga H0fa fa Now for x a Hxa 1 and gx fx It follow ...

H is the Heaviside function, defined by Assume that is defined and continuous for all x.

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H is the Heaviside function, defined by

H(x) 6 0 when x < 0 1 when x 0

Assume that ƒ is defined and continuous for all x. Under what condition on ƒ are we assured that the function g, defined by g(x) = H(x − a) ƒ(x), is continuous?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 03, 2023 10:09 AM

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H is the Heaviside function, defined by Assume that is defined and continuous for all x.

Question:

H(x) 6 0 when x < 0 1 when x ≥ 0

Step by Step Answer:

First note that ga H0fa fa Now for x a Hxa 1 and gx fx It follow...View the full answer

Calculus

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