f(t)= 1, 0 ≤ t ≤ 2, 0 elsewise
what is f(t) for -1≤ t ≤ 1
x(0)=1, x'O)= 0, where f(t) = 1 if t< 2; and f(t) = 0 if Find the solution of X"' + 2x' + x=f(t), t> 2.
Find the Laplace Transform of f(t)=0 if t<1: f(t) = t if 13t<2; f(t) = 0 ift> 2.
Find the Laplace Transform of f(t)=0 if t< 1; f(t) = t if 1sts 2; f(t)=0 if t> 2.
Need solution pls... 1. Find the Fourier transform of 0 <t<2 (a) f(t) = 1+ -2<t<0 otherwise a > 0 (b) f(t) = Se-at eat t> 0 t < 0 () f(1) = { cost t> 0 t < 0 0 Answer: 1 - cos 20 (a) (b) 2a al + m2 (c) 1 + jo (1+0)2 + 1
6. The function 1-1 f(t) = {0 for – 2 <t < -1 for –1<t< 0 for t = 0 for 0 <t<1 for 1<t V VI can be extended to be periodic of period 4. (a) Is the extended function even, odd, or neither? (b) Find the Fourier Series of the extended function.(Just write the final solution.)
if f(t)= t+2 for -2<t<0 and f(t)=2-t for 0<t<2 and f(t)=0 otherwise calculate f(jw) (the fourier transform of f(t), show all the solution,do not use table)
Piecewise function f(t) = 1 when 0 < t < 1, and f(t) =-1 when-1 < t < 0. Also f(t) = 0 for any other t (t < 1 or t 2 1). Answer the following questions: 1. Sketch the graph of f (t) 2. Calculate Fourier Transform F(j) 3. If g(t) = f(t) + 1, what is G(jw), ie. Fourier transform of g(t)? 4, extra 3-point credit: h(t) = f(t) + sin(kt), find the Fourier Transform of h(t).
find laplace transform f(t) = {0, 0 st < 2 t2-1 t2 2 f(t) = {0, 0 st
QUESTION 10 Find the Laplace Transform of f(t) = 0 ift<1: f(t) = tiflsts 2: f(t) = 0 ift> 2. ign 5
2t +1 if 0 <t< 2 Consider f(t) = { | 3t if t > 2. (a) Use the table of Laplace transforms directly to find the Laplace transform of f. (b) Express f in terms of the unit step function, then use Theorem 6.3.1 to find the Laplace transform of f.