2. (8 points) Find the Laplace transform of each of the following functions. 1. 2 f(t)...
2. (8 points) Find the Laplace transform of each of the following functions. 1. 2 (t) = + cos 3+ + 3e-24 2. 2 (t) = (1 - *) (Hint: expand...) 3. 2 (t) = tsin? t (Hint: use half angle formula first...) 4. 2 (t) = cos(36) - 1
Calculate the Laplace transform of the following time functions by applying the Laplace transform properties: f) f(t) = 3t cos(t) g) f(t) = 3t sin(3t) h) f(t) = 2te*** – 3t sin(t) i) f(t) = t sin(3t) + 2t cos(t) j) f(t) = 5sin(t)/(3t)
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
Hollie work #2 (Due April 1 δ) Problem Obtain the Laplace transform of each of the following functions: 2t (a) et cos 3tu(t) (c) e3 cosh 2tu(t) (e) te sin 2tu(t) (b) e2t sin 4tu(t) (d) e4 sinh tu(t) Problem 2. Find the Laplace transform of each of the following functions (b) 3f* e^ut) (c) 2n1(t)-4". δ(t) (e) 5u(t/2) (d) 2e) u(t) 2p-(t-1) (f) 6el3 u(t) d" dt" Problem 3. Find the Laplace transform of the following signals (a) f(t)-(2t...
1. Find the Laplace transform of the function f(t) = 1 + 2t + 3e-3t - 5 sin(4t). Solution: 2. Find the inverse Laplace transform of F(s) = 7+ (8 + 4)(18 - 3s) (s - 3)(s – 1)(s + 4)" Solution:
1) Laplace transforms/Transfer functions Use Laplace transform tables!!!! 1.1: Find the Laplace transform of f(t) = (cos(2t) + e-4t)-u(t) (simplify into one ratio)
8. Find the Laplace transform e{f(t)} ( 3 points each) . a. f(t) = 7e4t – 2 cosh(5t) b. f(t) = 8 cos(2t) + 7 sinh(4t) – 5t4
Find Laplace Transform for the following functions: 5- f(t) = 3t^e2t 6- f(t) = e-+(2+* + 3t2 +10) 7- f(t) = e-4 cos(3) Find Laplace inverse: 5- F(s) 2 2+9 6- F(S) = (s+3)* 7- F($) = (s+1)(8-2) 10 8- F(s) = (3-3)(s+4) 9. F(S) s(s-1)(3-4) 35+1
MATH 2303 Workshop 7 1, NAME (please print legibly): Your SMU ID Number: SHOW ALL YOUR WORK TO RECEIVE FULL CREDIT. 1. (2 points) Using the definition, find the Laplace Transform of the function: ſex, 0<t<3 f(t) 3<t 2. (8 points) Find the Laplace transform of each of the following functions. 1. 2 f(t) = + + cos 3 + 3e-2 2. 2 (t) = (1 - eM)? (Hint: expand...) 3. 29(t) = tsin? t (Hint: use half angle formula...
1.The following function does not have a Laplace transformation 2.The Laplace transformation for () is 3.If f(s). g(s) represent the Laplace transformations for f(t). g(t) respectively, then the transform of h(t)= () is h(s)= PS: D is for none of the above Please justify answer Thanks in advance 1. La siguiente funcion NO tiene transformada de Laplace a. f(t) = eta b. g(t) = sin 4t c. h(t) = 21 d. ninguna de las anteriores 2. La transformada de Laplace...