1) Laplace transforms/Transfer functions Use Laplace transform tables!!!! 1.1: Find the Laplace transform of f(t) =...
1) Laplace transforms/Transfer functions Use Laplace transform tables!!!! 1.1: Find the Laplace transform of - 4t) f(t) = lc + e *).u(t) (simplify into one ratio) 1.2.. Find the poles and zeros of the following functions. Indicate any repearted poles and complex conjugate poles. Expand the transforms using partial fraction expansion. 20 1.2.1: F(s) = (s + 3).(52 + 8 + 25) 1.2.2: 252 + 18s + 12 F(s) =- 54 + 9.5? + 34.5² + 90-s + 100
1. Find the Laplace transforms of these functions: r(t) = tu(t), that is, the ramp function; Ae-atu(t); Be atu(t). 2. Determine the Laplace transform of f(t) = 50cos ot u(t). 3. Obtain the Laplace transform of f(t) = (cos (2t) + e 41) u(t). 4. Find the Laplace transform of u(t-2). 5. Find vo(t) in the circuit shown below, assuming zero initial conditions. IH F + 10u(i) 42 v. (1)
please help. please answer all 4
Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the Laplace transform of the function below. 4t3 e 21 – 45 + + cos 4t Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. ${4te-21-4+ cos 4t} =0 Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the Laplace transform of the function...
1
(1 point) Find the Laplace Transform of the following functions: f(t) = 2e-9t + 7++ 4t+3 F(s) = f(t) = 2e9t sin(7t) + 4ť + 3et F(s) = -9t f(t) = 2te-94 sin(7t) F(s) = Note that there is a table of Laplace transforms in Appendix C, page 1271 thru 1273 of the book.
4. Use the table of Laplace transforms and properties to obtain the Laplace transform of the following functions. Specify which transform pair or property is used and write in the simplest form. For part b, use the result of part pa (do not use # 28 in Table 2.2.1). For part c, use the result from part b. a. X(t) = sin 4t d. x(t) = e-St sin(4t) b. y(t) = t sin(4) e, y(t) = 1 + 3t2 c....
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
USE DEFINITION 1 TO DETERMINE THE LAPLACE TRANSFORM OF THE FOLLOWING FUNCTION. f(t)= e sin(t) Laplace Transform Definition 1. Let f(t)be a function on [0,00). The Laplace transform of f is the function defined by the integral The domain of F(s) is all the values of " for which the integral in (1) exists.' The Laplace transform of fis denoted by both and ${/}. QUESTION 2. (3PTS) USE TABLE 7.1 AND 7.2 TO DETERMINE THE LAPLACE TRANSFORM OF THE GIVEN...
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
Homework Set 5 f(t) F(S) Section 4.1: Apply the definition to directly find the Laplace transforms of the given functions. (s > 0) 1 (s > 0) S- 1. Kt) = 12 2. f = 23t+1 Use transforms from the Table (op right) to find the Laplace transforms of the given functions. t" ( n20) (s > 0) r(a + 1) 1a (a > -1) (s > 0) 5+1 3. f(t) = VE +8t 4. f(t) = sin(2tcos(2t) Use the...
(1 point) Use the "Integration of Laplace Transforms Theorem" to find the Laplace transform of the function sin(f) f(t) 7t Lif() 7*In(u^2+1)