This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: Fall 2006 MTH 312 Test #2 Last Name (Print): 1 MIDTERM TEST #2 MTH 312 Vector Calculus Last Name (Print): . First Name: . Student Number: Part A. Multiple Choice [3 marks each] (Only one answer is correct in each case.) 1. Consider the following functions: f ( t ) = e cos t , g ( t ) = e t 3 , h ( t ) = e 50 t . Choose the correct statement. A) Only f ( t ) has a Laplace transform. B) Only g ( t ) has a Laplace transform. C) Only h ( t ) has a Laplace transform. D) Only f ( t ) and h(t) have a Laplace transform. E) Only g ( t ) and h(t) have a Laplace transform. 2. Given that the Laplace transform of f ( t ) = cos t and g ( t ) = sinh t are respectively F ( s ) = s ( s 2 + 2 ) and G ( s ) = ( s 2- 2 ) then the Laplace transform of t cos ( t- v ) sinh v dv is:: A) e- s ( s 4- 4 ) B) e s ( s 4- 4 ) C) e s ( s 4 + 4 ) D) s ( s 4- 4 ) E) None of the above....
View Full Document