Consider the piecewise function f(t) 9t² + 5t + 4 4 cos(5t) 59e4t 5 sin(4t) t <-6 -6 ≤ t <3 3 < t < 12 t > 12

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 58E
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Consider the piecewise function
This can be written using step functions as :
f(t):
+ U-6
-6(t). +
ug(t).
+u12 (t).
=
f(t) =
9t² + 5t +4
4 cos (5t)
59e4t
5 sin (4t)
t < −6
-6 < t <3
3 < t < 12°
t> 12
Transcribed Image Text:Consider the piecewise function This can be written using step functions as : f(t): + U-6 -6(t). + ug(t). +u12 (t). = f(t) = 9t² + 5t +4 4 cos (5t) 59e4t 5 sin (4t) t < −6 -6 < t <3 3 < t < 12° t> 12
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Entered
9* (t^2)+5*t+4
4*cos(5*t)-9*(t^2)-5*t-4*t
59* [e^(4*t)]-4*cos(5*t)
5* sin(4) *t-59* [e^(4*t)]
At least one of the answers above is NOT correct.
Consider the piecewise function
This can be written using step functions as :
f(t) = (9t² + 5t+ 4) +u_6(t). 4 cos(5t) — 9t² – 5t-4t +
uz(t). 59e¹¹ – 4 cos (5t) +u12 (t). 5 sin 4t – 59e¹t
f(t) =
9t² + 5t +4
4 cos(5t)
59e4t
5 sin(4t)
Answer Preview
9t² + 5t +4
4 cos(5t) — 9t² – 5t – 4t
59e4t
4 cos(5t)
5 sin(4)t – 59e4t
t< −6
-6 ≤ t < 3
3 ≤ t < 12 °
t > 12
Result
correct
incorrect
correct
incorrect
Transcribed Image Text:Entered 9* (t^2)+5*t+4 4*cos(5*t)-9*(t^2)-5*t-4*t 59* [e^(4*t)]-4*cos(5*t) 5* sin(4) *t-59* [e^(4*t)] At least one of the answers above is NOT correct. Consider the piecewise function This can be written using step functions as : f(t) = (9t² + 5t+ 4) +u_6(t). 4 cos(5t) — 9t² – 5t-4t + uz(t). 59e¹¹ – 4 cos (5t) +u12 (t). 5 sin 4t – 59e¹t f(t) = 9t² + 5t +4 4 cos(5t) 59e4t 5 sin(4t) Answer Preview 9t² + 5t +4 4 cos(5t) — 9t² – 5t – 4t 59e4t 4 cos(5t) 5 sin(4)t – 59e4t t< −6 -6 ≤ t < 3 3 ≤ t < 12 ° t > 12 Result correct incorrect correct incorrect
Solution
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