Find the laplace transform of the following
function
I(t) = 10^4 t *u(t)-10*4 t + 100*10^-6 *
u(t-10*10^-9)
Just to clarify that is a negative 6 in the
exponential term
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Using matlab, create and plot the following signals
for time t = -10 to t=10.
40(t) = cos(0.5πt) × rect 2 [t-40
1. Find v(t). t-0 10 ? 6f 20 ? 20 V+ v(t) 10 ? 2. Find v(t). > 10 ? 6F 20 ? v(t) 200 10?
2. Let t if 5 < t < 10 f(t) = -{ e3t if t > 10 Use the Heaviside step function to evaluate the Laplace of f. (4 pts.) 3. Find the inverse Laplace transform of the following functions: (i) F(s) = 4s +5 s(s2 + 4s + 5) (3 pts.) -35 (ii) G(s) = 4s + 5 s(s2 + 4s + 5) е (you may use part (i)) (2 pts.)
Pay Attention Please, it is a MATLAB Problem. Thanks!
2. f(t) 10u(t)-10u(t-10) +5u(t-10)-5u(t -20 Plot this function.
For b.), it is from 20 to -20.
Not 10 to -10
3. (40 points) Consider the time signals shown in Figure3 h(t) 10 z(t) 2 -10 Figure 3 Find y(t)-h(t)sz(t) using the graphical approach of the convolution integral (by hand). You can use MATLAB to ver
3. (40 points) Consider the time signals shown in Figure3 h(t) 10 z(t) 2 -10 Figure 3 Find y(t)-h(t)sz(t) using the graphical approach of the convolution integral (by hand). You can use MATLAB...
2. i(t) SR 10 A (T lo-2AL 1 H Find v(t) and i(t).
2. i(t) SR 10 A (T lo-2AL 1 H Find v(t) and i(t).
10. (10 points) Find the Laplace Transform of the function f(t), where -{ Sin(t) 0st2T Otherwise f(t) 0 Just as an FYI, I have included a plot of f(t) in figure 1 t-T t 2t Time t 0 Figure 1: A plot of the function f(t) defined in problem 10.
10. Let Ae-at if t > 0 h(t) = 10 ift < 0 where A and a are parameters as in Example 2.21. Show that Α h(x) = (Ch)(i) = Tarla+id)
Sketch the plane curve. r(t) = 5 sin(t)i + JOH -10 IOF -10 E 10 -101 Find its length over the given interval.