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a. If L{f(t)} = F (s), then A) L{eat ƒ(t)} = F(s + a) B) L{eªtf(t)} = F(s – a) C) L{eatf(t)} = F(s)eat D) L{eªt f(t)} = F(s – a)eat b. What is the Laplace transform of the given function f(t) = cos²(2t)? C) F(s) = ÷;- D) F(s) = & + A) F(s) = + B) F(s) = 글G-) 2 's 2 's 2 's +16 c. Given f(t) = e t, what is L{t²f(t)}? 1 2 A) – (s-4)2 C) (s-4)3 2 B) D): (s-4)2 (s-4)3

a. If L{f(t)} = F (s), then A) L{eat ƒ(t)} = F(s + a) B) L{eªtf(t)} = F(s – a) C) L{eatf(t)} = F(s)eat D) L{eªt f(t)} = F(s – a)eat b. What is the Laplace transform of the given function f(t) = cos²(2t)? C) F(s) = ÷;- D) F(s) = & + A) F(s) = + B) F(s) = 글G-) 2 's 2 's 2 's +16 c. Given f(t) = e t, what is L{t²f(t)}? 1 2 A) – (s-4)2 C) (s-4)3 2 B) D): (s-4)2 (s-4)3

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CR: Review Exercises
Problem 37CR
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For Part II, answer letters a-e: a. If L{f(t)} = F(s), then A) L{eat ƒ(t)} = F(s +a) B) L{eªtf(t)} = F(s – a) C) L{eat f(t)} = F(s)eªt D) L{eªt f(t)} = F(s – a)eat b. What is the Laplace transform of the given function f(t) = cos²(2t)? A) F(s) =C+; B) F(s) = G- C) F(s) = 글G+) D) F(s) = ;& + c. Given f(t) = e t, what is L{t²f(t)}? 2 A) –; (s-4)² C) (s-4)3 1 2 B). D): (s-4)2 d. What is the Laplace transform of the given function f(t) = 2t?cos²(2t)? A) F(s) =3+52+16 2s3-96 C) F(s) = + +16) s+16 2s3-96 B) F(s) = 2s(s-16) s²+16 D) F(s) =- (s²+16)3 e. What is the Laplace transform of the given function f(t) = cos³(t)? 3 + 4 s2+9 3s 4s A) F(s) = C) F(s) = 4 s2+1 s2+1 s2+9 D) F(s) = + 3s+1 3 B) F(s) = 4(s²+9) 4 s2+1 4 s2+9 HIN IN
Transcribed Image Text:For Part II, answer letters a-e: a. If L{f(t)} = F(s), then A) L{eat ƒ(t)} = F(s +a) B) L{eªtf(t)} = F(s – a) C) L{eat f(t)} = F(s)eªt D) L{eªt f(t)} = F(s – a)eat b. What is the Laplace transform of the given function f(t) = cos²(2t)? A) F(s) =C+; B) F(s) = G- C) F(s) = 글G+) D) F(s) = ;& + c. Given f(t) = e t, what is L{t²f(t)}? 2 A) –; (s-4)² C) (s-4)3 1 2 B). D): (s-4)2 d. What is the Laplace transform of the given function f(t) = 2t?cos²(2t)? A) F(s) =3+52+16 2s3-96 C) F(s) = + +16) s+16 2s3-96 B) F(s) = 2s(s-16) s²+16 D) F(s) =- (s²+16)3 e. What is the Laplace transform of the given function f(t) = cos³(t)? 3 + 4 s2+9 3s 4s A) F(s) = C) F(s) = 4 s2+1 s2+1 s2+9 D) F(s) = + 3s+1 3 B) F(s) = 4(s²+9) 4 s2+1 4 s2+9 HIN IN
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