10. (a) Find a combination of step functions that is equal to 4 when 2 ≤ t ≤3 and equal to 0 otherwise. (b) Write the following function in one line (i.e. without cases) using step functions: (c) Same question for f(t)= = Jo, (t-2)², 0, f(t)=²+2, 1, t≤ 2, t>2. t≤ 1, 1 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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10. (a) Find a combination of step functions that is equal to 4 when 2 ≤ t ≤ 3 and equal to
0 otherwise.
(b) Write the following function in one line (i.e. without cases) using step functions:
(c) Same question for
f(t) =
t≤ 2,
(t - 2)², t>2.
0.
f(t)=²+2,
1,
t≤ 1,
1< t < 2,
t> 2.
Transcribed Image Text:10. (a) Find a combination of step functions that is equal to 4 when 2 ≤ t ≤ 3 and equal to 0 otherwise. (b) Write the following function in one line (i.e. without cases) using step functions: (c) Same question for f(t) = t≤ 2, (t - 2)², t>2. 0. f(t)=²+2, 1, t≤ 1, 1< t < 2, t> 2.
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