![as = rey de = z[ rwyde +;} rede q = a = b = f(t) cos(r(1)t) dt a = cos(re)de +0 ar = [sin(net)}} = [sin (1) – sin (0)] = 0 b](http://img.homeworklib.com/questions/8c981aa0-9f82-11ea-af1a-6934882e8bf2.png?x-oss-process=image/resize,w_560)
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In MATLAB plot the following: The function is periodic, with time period 2T=2, after t=2 the...
Verify the following using MATLAB 2) (a) Consider the following function f(t)=e"" sinwt u (t (1)...
Verify the following using MATLAB
2) (a) Consider the following function f(t)=e"" sinwt u (t (1) .... Write the formula for Laplace transform. L[f)]=F(6) F(6))e"d Where f(t is the function in time domain. F(s) is the function in frequency domain Apply Laplace transform to equation 1. Le sin cot u()]F(s) Consider, f() sin wtu(t). From the frequency shifting theorem, L(e"f()F(s+a) (2) Apply Laplace transform to f(t). F,(s)sin ot u (t)e" "dt Define the step function, u(t u(t)= 1 fort >0...
The sketch of the following periodic function f (t) given in one period f(t) t2 -1,...
The sketch of the following periodic function f (t) given in one period f(t) t2 -1, 0s t s 2 is given as follows f(t) 2 -1 We proceed as follows to find the Fourier series representation of f (t) (Note:Jt2 cos at dt = 2t as at + (a--)sina:Jt2 sin at dt = 2t sin at + sin at. Г t2 sin at dt-tsi. )cos at.) Please scroll to the bottom of page for END of question a) The...
Problem 3: a) Show that is f(t) is an even, real valued periodic function of time...
Problem 3: a) Show that is f(t) is an even, real valued periodic function of time with period To, then 0 f(t)dt ao = T. Jo b) Show that is f(t) is an odd, real valued periodic function of time with period To, then an-0 f (t) sin(nwot)dt
Fundamental Frequency of Continuous Signals To identify the period T, the frequencyf= 1/T, or the angular...
Fundamental Frequency of Continuous Signals To identify the period T, the frequencyf= 1/T, or the angular frequency ω = 2nf= 2m/T of a given sinusoidal or complex exponential signal, it is always helpful to write it in any of the following forms: sin (gd-sin(2nf)-sin(2t/T) The fundamental frequency of a signal is the greatest common divisor (GCD) of all the frequency components contained in a signal, and, equivalently, the fundamental period is the least common multiple (LCM) of all individual periods...
Fundamental Frequency of Continuous Signals To identify the period T, the frequencyf= 1/T, or the angular...
Fundamental Frequency of Continuous Signals To identify the period T, the frequencyf= 1/T, or the angular frequency ω = 2nf= 2m/T of a given sinusoidal or complex exponential signal, it is always helpful to write it in any of the following forms: sin (gd-sin(2nf)-sin(2t/T) The fundamental frequency of a signal is the greatest common divisor (GCD) of all the frequency components contained in a signal, and, equivalently, the fundamental period is the least common multiple (LCM) of all individual periods...
Problem 1: you have a periodic signal with a period of T=2Pi seconds. Report the value...
Problem 1: you have a periodic signal with a period of
T=2Pi seconds.
Report the value of Wo and find C-1,C2 and C3 coeficients.
Problem 2: you have a periodic signal with period of
T=6 seconds. Report Wo and the A15, B9 and B15 coeficients.
Problema 1. Se tiene una señal periódica, cuyo periodo es de T = 27t seg, representada por la siguiente Serie Trigonométrica de Fourier truncada. 2 --cos(t) + sen sen(2t) - cos + sen(3t) + ......
Plot the following function on MATLAB h(t) = cos(pi*t/2) -2 <= t < -1 1 +...
Plot the following function on MATLAB h(t) = cos(pi*t/2) -2 <= t < -1 1 + t3 -1 <= t < 0 1 0 <= t < 1 1 + sin(2*pi*t) 1 <= t < 2 0 elsewhere
all parts -2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2...
all parts
-2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2 0. F() (a) (4 points) Find the unit tangent vector for the curve d (F(t)-v(t)) using the product rule for dt (b) (5 points) Let v(t) = 7'(t). Calculate the dot product and simplify v(t) (c) (4 points) For an arbitrary vector-valued function 7 (t) with velocity vector = 1, what can be said about the relationship between F(t) and v(t)? if F(t) (t)...
0<t<T when Tt< 2 t 2T sin t when 2. Calculate the Laplace transform of the periodic function f(t) 0 f(t-...
0<t<T when Tt< 2 t 2T sin t when 2. Calculate the Laplace transform of the periodic function f(t) 0 f(t-2) when -7s 3. Calculate the inverse Laplace transform of G(s) 3-4e-5 + $2+2s+17 4. Use the Laplace transform to solve each initial value problem: 4y"+ y u2m(t)sin(t/2) y(0)=0 &(0 =0 (a) 0 and /(0) 2 "+4y+13y = 4to(t-T) if y(0) (b) 5. Use the convolution to write a solution of each initial value problem. y"+6y'+10y g(t) 1 y(0) 0...
Question 20 In a certain city, the temperature (in °F)t hours after 9:00 AM was modeled...
Question 20 In a certain city, the temperature (in °F)t hours after 9:00 AM was modeled by the function art T(t) = 50 + 14 sin Which expression represents the average temperature during the 12 period from 10:00 AM to 5:00 PM? art dt 12 0 1 S (50 +14 sin (T) S (50 50+ 14 sin dt 50 + 14 sin dt 12 сле 50 + 14 sin dt 12 1° (50 50 + 14 sin (F)) dt 12
Verify the following using MATLAB
2) (a) Consider the following function f(t)=e"" sinwt u (t (1) .... Write the formula for Laplace transform. L[f)]=F(6) F(6))e"d Where f(t is the function in time domain. F(s) is the function in frequency domain Apply Laplace transform to equation 1. Le sin cot u()]F(s) Consider, f() sin wtu(t). From the frequency shifting theorem, L(e"f()F(s+a) (2) Apply Laplace transform to f(t). F,(s)sin ot u (t)e" "dt Define the step function, u(t u(t)= 1 fort >0...
The sketch of the following periodic function f (t) given in one period f(t) t2 -1, 0s t s 2 is given as follows f(t) 2 -1 We proceed as follows to find the Fourier series representation of f (t) (Note:Jt2 cos at dt = 2t as at + (a--)sina:Jt2 sin at dt = 2t sin at + sin at. Г t2 sin at dt-tsi. )cos at.) Please scroll to the bottom of page for END of question a) The...
Problem 3: a) Show that is f(t) is an even, real valued periodic function of time with period To, then 0 f(t)dt ao = T. Jo b) Show that is f(t) is an odd, real valued periodic function of time with period To, then an-0 f (t) sin(nwot)dt
Fundamental Frequency of Continuous Signals To identify the period T, the frequencyf= 1/T, or the angular frequency ω = 2nf= 2m/T of a given sinusoidal or complex exponential signal, it is always helpful to write it in any of the following forms: sin (gd-sin(2nf)-sin(2t/T) The fundamental frequency of a signal is the greatest common divisor (GCD) of all the frequency components contained in a signal, and, equivalently, the fundamental period is the least common multiple (LCM) of all individual periods...
Fundamental Frequency of Continuous Signals To identify the period T, the frequencyf= 1/T, or the angular frequency ω = 2nf= 2m/T of a given sinusoidal or complex exponential signal, it is always helpful to write it in any of the following forms: sin (gd-sin(2nf)-sin(2t/T) The fundamental frequency of a signal is the greatest common divisor (GCD) of all the frequency components contained in a signal, and, equivalently, the fundamental period is the least common multiple (LCM) of all individual periods...
Problem 1: you have a periodic signal with a period of
T=2Pi seconds.
Report the value of Wo and find C-1,C2 and C3 coeficients.
Problem 2: you have a periodic signal with period of
T=6 seconds. Report Wo and the A15, B9 and B15 coeficients.
Problema 1. Se tiene una señal periódica, cuyo periodo es de T = 27t seg, representada por la siguiente Serie Trigonométrica de Fourier truncada. 2 --cos(t) + sen sen(2t) - cos + sen(3t) + ......
all parts
-2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2 0. F() (a) (4 points) Find the unit tangent vector for the curve d (F(t)-v(t)) using the product rule for dt (b) (5 points) Let v(t) = 7'(t). Calculate the dot product and simplify v(t) (c) (4 points) For an arbitrary vector-valued function 7 (t) with velocity vector = 1, what can be said about the relationship between F(t) and v(t)? if F(t) (t)...
0<t<T when Tt< 2 t 2T sin t when 2. Calculate the Laplace transform of the periodic function f(t) 0 f(t-2) when -7s 3. Calculate the inverse Laplace transform of G(s) 3-4e-5 + $2+2s+17 4. Use the Laplace transform to solve each initial value problem: 4y"+ y u2m(t)sin(t/2) y(0)=0 &(0 =0 (a) 0 and /(0) 2 "+4y+13y = 4to(t-T) if y(0) (b) 5. Use the convolution to write a solution of each initial value problem. y"+6y'+10y g(t) 1 y(0) 0...
Question 20 In a certain city, the temperature (in °F)t hours after 9:00 AM was modeled by the function art T(t) = 50 + 14 sin Which expression represents the average temperature during the 12 period from 10:00 AM to 5:00 PM? art dt 12 0 1 S (50 +14 sin (T) S (50 50+ 14 sin dt 50 + 14 sin dt 12 сле 50 + 14 sin dt 12 1° (50 50 + 14 sin (F)) dt 12
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