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GRAPH EACH TRIG FUNCTION OVER ONE PERIOD. show work please! 3. f(t)= 1+3 sin (3t-172) 4....
Show how to graph please.
Graph the function f(t)=3t(h(t−4)−h(t−9)) for 0≤t<∞0≤t<∞.
Use your graph to write this function piecewise as follows:
3t(h(t−4)−h(t−9))={
if 0≤t<4,0≤t<4,
if 4≤t<9,4≤t<9,
if 9≤t<∞.9≤t<∞.
Evaluate f(6.5)
f(6.5)=
a Graph the function f(t) = 3t(h(t-4) _ h(t-9)) for 0 < t < oo. Use your graph to write this function piecewise as follows: 3t(h(t -4) h(t 9)) if9<t<oo. help (formulas) b. Evaluate f(6.5) f(6.5) help (formulas)
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
(a) xi (t) =4(sin(31) + cos(3t)] (b) x2(t) = sin(41) 1.18 For each of the following functions, indicate if it exhibits even symmetry, odd symmetry, or neither one. (a) Xi (t) = 1-e-2t (b) x2(t) = 1-e-2t2 1.19 Generate plots for each of the following step-function waveforms over the time span from-5 s to +5 s. (a) xi (t)=-611 (t + 3) (b) x2(t) = 1011(1-4) (c) x3(t) = 411 (t + 2) _ 411 (1-2)
Please show all your works.
Thanks.
4.(25 pts) Consider a periodic function X(t) = Sin(3t). Cos . Express x(t) in Exponential Fourier Series form and calculate Fourier Coefficients Co, C1, C-1,C2, C-2 ... etc (as many Fourier Coefficients as needed). What is the fundamental frequency (wo) of the x(t)? (hint: Use Euler's formula to express Sin(.) and Cos(.) in exponential forms)
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e the amplitude, period, phase shift, vertical shift. Find the coordinates of the first two points (xo, yo) and (x1,y) of the five key points for the trig function y-3 sin(x T) in one...
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PLEASE USE MATLAB
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