13. Consider the function f, such that f and f' are continuous for t≥ 0, defined by f(t)= (871-197 0

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13. Consider the function f, such that f and f' are continuous for t≥ 0, defined by
f(t)=
(871-197 0<t<5
81²+b+c t25
Writing f'(t) in terms of the Heaviside function or unit step gives:
f'(t)=87+(16t-80)
(t-5)
Find the value of b.
Transcribed Image Text:13. Consider the function f, such that f and f' are continuous for t≥ 0, defined by f(t)= (871-197 0<t<5 81²+b+c t25 Writing f'(t) in terms of the Heaviside function or unit step gives: f'(t)=87+(16t-80) (t-5) Find the value of b.
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