a each function. 2. Find the aamam a. -2 For the given Puuction f,Eind t-3) -)...
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
Given the function f, evaluate f(-1), f), f(2), and f(4). Sx²-3 if x < 2 f(x) 6 + [x - 5] if x 2 2 f(-1) = f(0) f(2) f(4) = A car travels at a constant speed of 50 miles per hour. The distance, d, the car travels in miles is a function of time, t, in hours given by d(t) = 50t. Find the inverse function by expressing the time of travel in terms of the distance traveled....
please answer both questions
3. A function f(t) defined on an interval 0 <t<L is given. Find the Fourier cosine and sine series of f. f() = 6(1-1),0 <t< 4. Find the steady state periodic solution, *xp(t) of the following differential equation. *" + 5x = F(t), where FC) is the function of period 2nt such that F(t) = 18 if 0 << < 1 and F(t) = -18 if t <t <200.
3. A function f(t) defined on an interval 0 <t<L is given. Find the Fourier cosine and sine series off. f(t) = 6t(11 – t), 0 <t<n
#6.) Given f(t)=-2:+8, Ost<4, f(t+4)= f(t). Find F(s)=L{f(t)} of the Periodic Function.
For the following function f, find the antiderivative F that satisfies the given condition. л T 5 f(v)= = sec v tan v, F(0) = 4, 6 2 2 F(v) = AY Use the figures to calculate the left and right Riemann sums for f on the given interval and the given value of n. f(x)= 3- 3- xi'w 3 f(x) = on (1,5); n = 4 X х 4 5 0 1 4 5 The left Riemann sum for...
2, let f(t)-〈 2t 2-t < 4 ; g(t) = . 0 otherwise 0 5<t (a) Write each function in terms of the unit step fun ction (b) Plot each function (c) Find the Laplace transform of f (t) and g(t)
2, let f(t)-〈 2t 2-t
Find the Laplace transform of the given function. f(t) = {et, Ost<2 lo, t> 2 | F(s) =
Given the following function F(s) find f(t) F(8) = 8 +1 s(s+2)(+3)