Find the laplace transform of f(t) = 3t5 - 5e²t + 10 sin 4t OF (s) OF (s) = OF (s) = OF (s) OF (s) OF (s) = = = OF (s) F (s) = -5s8+60s7-360s6 +660s³-720s² +5760s+11520 s⁹-2s8+16s7-32s6 -5s8+40s7-360s6 +160s³-720s²-5760s+11520 s9-2s8+16s7-32s6 -5s8+40s7+160s6-360s³-620s² +5760s-11520 9-2s8+16s7-32s6 -5s8+50s7-160s6-60s³-720s² +5770s-11530 s⁹-2s8+16s7-32s6 -5s8+40s7+260s6+460s³-720s²-5760s+11520 -2s8+16s7-32s6 -5s8+40s7-120s6 +340s³-620s²+5760s-11520 s9-2s8+16s7-32s6 -5s8+40s7-160s6 +360s³+720s²-5760s-11520 s9-2s8+16s7-32s6 -5s8+40s7-160s6+360s³-720s²+5760s-11520 s⁹-2s8+16s7-32s6

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the laplace transform of
f(t) = 3t5 - 5e²t + 10 sin 4t
OF (s)
OF (s)
OF (s)
OF (s)
OF (s)
OF (s)
OF (s)
F (s)
=
=
=
=
=
=
=
=
-5s8+60s7-360s6 +660s³-720s²+5760s+11520
s9-2s8+16s7-32s6
-5s8+40s7-360s6 +160s³-720s²-5760s+11520
89
-2s8+16s7-32s6
-5s8+40s7+160s6-360s³-620s2 +5760s-11520
s9-2s8+16s7-32s6
-5s8+50s7-160s6-60s³-720s² +5770s-11530
s9-2s8+16s7-32s6
-5s8+40s7 +260s6 +460s³-720s²-5760s+11520
89
89
-2s8+16s7-32s6
-5s8+40s7-120s6 +340s³-620s² +5760s-11520
-2s8+16s7-32s6
-5s8+40s7-160s6 +360s³+720s2-5760s-11520
s9-2s8+16s7-32s6
-5s8+40s7-160s6 +360s³-720s² +5760s-11520
s⁹-2s8+16s7-32s6
Transcribed Image Text:Find the laplace transform of f(t) = 3t5 - 5e²t + 10 sin 4t OF (s) OF (s) OF (s) OF (s) OF (s) OF (s) OF (s) F (s) = = = = = = = = -5s8+60s7-360s6 +660s³-720s²+5760s+11520 s9-2s8+16s7-32s6 -5s8+40s7-360s6 +160s³-720s²-5760s+11520 89 -2s8+16s7-32s6 -5s8+40s7+160s6-360s³-620s2 +5760s-11520 s9-2s8+16s7-32s6 -5s8+50s7-160s6-60s³-720s² +5770s-11530 s9-2s8+16s7-32s6 -5s8+40s7 +260s6 +460s³-720s²-5760s+11520 89 89 -2s8+16s7-32s6 -5s8+40s7-120s6 +340s³-620s² +5760s-11520 -2s8+16s7-32s6 -5s8+40s7-160s6 +360s³+720s2-5760s-11520 s9-2s8+16s7-32s6 -5s8+40s7-160s6 +360s³-720s² +5760s-11520 s⁹-2s8+16s7-32s6
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