1. Express the given function in terms of unit step function(s). Sketch the graph. a) f(t) = (2, 0≤t<4 5, 4≤t (1², 0≤t<3 9, 3≤t c) f(t) =< 5, 0≤t<2 e) f(t) = 2, 2≤t<4 4, 4≤t =001 ( b) f(t) = { d) f(t)=- -1, 0≤t <2 2≤t 3, 0 sin(t-π), 2t, f) f(t) = π, (211. (s 0≤t<π π≤t cos(t-3π/2), 0≤t<π/2 π/2≤t<3π/2 3π/2≤t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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1A
1. Express the given function in terms of unit step function(s). Sketch the graph.
a) f(t)=-
c) f(t)=
2, 0≤t<4
5, 4≤t
t², 0≤t <3
9, 3≤t
(5, 0≤t<2
e) f(t)=(2, 2 ≤t<4
4, 4≤t
b) f(t)=
(-1, 0≤t<2
3, 2≤t
d) f(t)=-
sin(t-T),
(2t,
f) f(t)= π,
0≤t<n
St
cos(t-3/2),
0≤t<π/2
π/2≤t<3π/2
3π/2≤t
Transcribed Image Text:1. Express the given function in terms of unit step function(s). Sketch the graph. a) f(t)=- c) f(t)= 2, 0≤t<4 5, 4≤t t², 0≤t <3 9, 3≤t (5, 0≤t<2 e) f(t)=(2, 2 ≤t<4 4, 4≤t b) f(t)= (-1, 0≤t<2 3, 2≤t d) f(t)=- sin(t-T), (2t, f) f(t)= π, 0≤t<n St cos(t-3/2), 0≤t<π/2 π/2≤t<3π/2 3π/2≤t
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