(4gts) Furst, consider the following two fanctions of time. Find the Laplace transform of each, and...
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. L{4t² e - 3 8t - e cos V7t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. ${412 e - 3t 8t cos V7t} = (Type an expression using s as the variable.) - e b. What is the restriction on s? S> (Type an integer or a...
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. L{57* e -4- et cos ,/5t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. Ll{5t* e -4- e 3t cos 5t} = (Type an expression using s as the variable.) b. What is the restriction on s? s>(Type an integer or a fraction.)
6. Find the Laplace transform L{f} of the function f below. f(t) = 7t - sin(8t) + 3t cos(4t)
do problem 2 and 4 Problem #2 Find the Laplace Transform 5t 2 3 Place Transform of X(t) = te-* cos(2t +30°) Problem #3 Find the Inverse Laplace Tran Tse Laplace Transform of: s+2 F(S) = (y2 +28+2)(s +1) Problem #4 Find the Inverse Laplace Transform 1-03 (s +2)(1 - e-*) F(s) = Problem #5 For F(s) given in Problem #3 find f(0) and f(co). Problem #6 Use Laplace Transform to find x(t) in the following integra differential equation: dx...
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. {{4tº e -88 – est cos 3t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. 244te -8t - 25+cos 13t} = (Type an expression using s as the variable.) b. What is the restriction on s? (Type an integer or a fraction.) S>
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. {{314 e -5t - e 8t cos 13t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. 8t COS1 5731} = (Type an expression using s as the variable.) {{3t4e -5 e b. What is the restriction on s? S> (Type an integer or a fraction.) Enter your answer...
Find the inverse Laplace transform of each of the following functions. a. F(s) = 5 $4(s2 + 4) t f(t) = 2*4{F($)}(6) = dw b. G(s) = 4s (s + 5)2( 32 +81) g(t) = •{F()}(t) = dw
Chapter 6, Section 6.6, Go Tutorial Problem 10 Find the inverse Laplace transform of the function using convolutions F(s) = - 1 (s + 1)?(52 + 25 z-{F(s)- 676e-(26t+2) z"{F(s)- 885 sin 5t + 338 Cos St + 676e-t(26+ + 2) {F(s)) -sin 5t 845 (F(s)) 338 -Cos 5t (F(s)) - Bås sin 5t - 338 cos cos 5t + 676 e*(26+ + 2) Click If you would like to Show Work for this question: Open Show Work
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)
QUESTION 24 Find the inverse Laplace transform of the following function. F(S) = s2-35 s4+10s2 +9 (3cos (3t)+sin (3t) -3cost-sint) B. (cos (3t)+sin (3t) -3cost-3sint) (cos (3t) +3sin (3t) -3cost-sint) (3 cos (3t) +3sin (3t) - 3 cost-sint) 1 E. (3 cos (3t) +sin (3t) -3cost-3sint)