Given that F(s) e-2/(s + 1), then f(t) is A. e-t-2 u(t-2) - B. e-(-2) (t 2) C. e-t+2 u(t+2) D. e-(t+2) u(t + 2) What is the result of u(t) * u(t)? A. t B. t² C. et D. te-t What is the Laplace transform of te-t sin 2t? A. (s+1)/[(s+1)²+4] B. 2(s +1)/[(s + 1)²+4] C. 2(s+1)/[(s+1)²+4]² D. 4(s +1)/[(s + 1)²+4]² Find the convolution of e³tu(t) and t²u(t) A. 3/s²(s-3) B. 3/s³(s-3) C. 2/s²(s-3) D. 2/s³(s-3)
Given that F(s) e-2/(s + 1), then f(t) is A. e-t-2 u(t-2) - B. e-(-2) (t 2) C. e-t+2 u(t+2) D. e-(t+2) u(t + 2) What is the result of u(t) * u(t)? A. t B. t² C. et D. te-t What is the Laplace transform of te-t sin 2t? A. (s+1)/[(s+1)²+4] B. 2(s +1)/[(s + 1)²+4] C. 2(s+1)/[(s+1)²+4]² D. 4(s +1)/[(s + 1)²+4]² Find the convolution of e³tu(t) and t²u(t) A. 3/s²(s-3) B. 3/s³(s-3) C. 2/s²(s-3) D. 2/s³(s-3)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Given that F(s) e-2/(s + 1), then f(t) is
A. e-t-2 u(t-2)
-
B. e-(-2) (t 2)
C. e-t+2 u(t+2)
D. e-(t+2) u(t + 2)
What is the result of u(t) * u(t)?
A. t
B. t²
C. et
D. te-t
What is the Laplace transform of te-t sin 2t?
A. (s+1)/[(s+1)²+4]
B. 2(s +1)/[(s + 1)²+4]
C. 2(s+1)/[(s+1)²+4]²
D. 4(s +1)/[(s + 1)²+4]²
Find the convolution of e³tu(t) and t²u(t)
A. 3/s²(s-3)
B. 3/s³(s-3)
C. 2/s²(s-3)
D. 2/s³(s-3)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc903a21b-6bc7-4436-b17b-a0c38d7e5bdc%2Fc1ec05d0-d1ab-49e8-9f4c-076effedcfa4%2Fhoc6xug_processed.png&w=3840&q=75)
Transcribed Image Text:Given that F(s) e-2/(s + 1), then f(t) is
A. e-t-2 u(t-2)
-
B. e-(-2) (t 2)
C. e-t+2 u(t+2)
D. e-(t+2) u(t + 2)
What is the result of u(t) * u(t)?
A. t
B. t²
C. et
D. te-t
What is the Laplace transform of te-t sin 2t?
A. (s+1)/[(s+1)²+4]
B. 2(s +1)/[(s + 1)²+4]
C. 2(s+1)/[(s+1)²+4]²
D. 4(s +1)/[(s + 1)²+4]²
Find the convolution of e³tu(t) and t²u(t)
A. 3/s²(s-3)
B. 3/s³(s-3)
C. 2/s²(s-3)
D. 2/s³(s-3)
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