Given that 0 < a < b, let f(t) = 1 if a

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Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
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Given that 0 < a < b, let f(t) = 1 if a <t < b, f(t) = o
if either t < a or t2 b. First, sketch the graph of the
function f, making clear its values at 1 = a and t = b.
Then express f in terms of unit step functions to show
that L{f(t)} = s¯'(e-as – e¬bs).
Transcribed Image Text:Given that 0 < a < b, let f(t) = 1 if a <t < b, f(t) = o if either t < a or t2 b. First, sketch the graph of the function f, making clear its values at 1 = a and t = b. Then express f in terms of unit step functions to show that L{f(t)} = s¯'(e-as – e¬bs).
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