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3. For the functions sketched as shown below: f(t) g(t) (a) Determine xtgt glt by direct...
1. Consider the two waveforms f(t) and g(t) shown in the figures below. (a) Characterize both...
1. Consider the two waveforms f(t) and g(t) shown in the figures below. (a) Characterize both functions by expressing each in a suitable mathematical functional form. Write the resultant equation next to the equal sign for each function (b) Using direct integration, compute the convolution integral using the functions you defined in part (a). (c) Sketch the resultant function or use a plotting package of your choice to plot your result for h(t). What do you observe about the relative...
(1 point) The functions f(t) and g(t) are shown below. 11.0 f(t) g(t) If the motion...
(1 point) The functions f(t) and g(t) are shown below. 11.0 f(t) g(t) If the motion of a particle whose position at time t is given by z = f(t), y = g(t), sketch a graph of the resulting motion and use your graph to answer the following questions: (a) The slope of the graph at (0.25, 0.5) is 6 (enter undef if the slope is not defined) (b) At this point the particle is moving to the right and...
QUESTION 2 Given two periodic functions, f(t) and g(t) is defined by and f (t) =...
QUESTION 2 Given two periodic functions, f(t) and g(t) is defined by and f (t) = cos, -<t<t f(t)= f(t +26) g(t) = cos, 0<t<2n g(t) = g(t +21) Sketch the graph of the periodic functions f(t) and g(t) over the interval (-37,37). Sketch in separate graphs. (Please use any online graphing software not hand-drawn). Find the Fourier series of f(t) and g(t). (b) Then, briefly comment what do you observe from the graphs and the Fourier series expansion of...
Use direct integration to find the Fourier transform G(f ) of signal g(t) = exp (-2|t...
Use direct integration to find the Fourier transform G(f ) of signal g(t) = exp (-2|t −3|).
The functions f(x)and g(x) are shown below. f(x) = 3x2 + 2x - 8 and g(x)...
The functions f(x)and g(x) are shown below. f(x) = 3x2 + 2x - 8 and g(x) = -x2 - x - 5. Apply the indicated operations on the given functions. [(f•g)(-2) + 3 (gºg(2)) -5(gºf)(-2)] x g(3)
ECE3204 F19 HW-3 Due: Wed. 10/2/2019 3 Problem 1: Find and sketch c(t) = f(t)* 12(t)...
ECE3204 F19 HW-3 Due: Wed. 10/2/2019 3 Problem 1: Find and sketch c(t) = f(t)* 12(t) for the pairs of functions illustrated below 2₂ (1) ECE3204 F19 HW-3 Due: Wed. 10/2/ Problem 3: By direct integration find the Laplace transform of the signal x(t) given by: cos(1) 0<t< x(1) = 10 elsewhere Note that cos(t) = (alt+e)
Problem #7; Consider the functions f(t = e' and g(f) = e 3 defined on 0...
Problem #7; Consider the functions f(t = e' and g(f) = e 3 defined on 0 t < co. (a) (f*g)(t) can be calculated as h(w, tdw Enter the function h(w, t into the answer box below Hs)}. Enter the function H(s) into the answer box below (b) (f* g)(t) can also be calculated as L (c) Evaluate (f* g)(t) Enter your answer as a symbolic function of w,t, as in these examples Problem #7(a): Enter your answer as a...
QUESTION 5 The graph of x)+ bxtc and the straight line g are sketched below. A...
QUESTION 5 The graph of x)+ bxtc and the straight line g are sketched below. A and B are the points of intersection of f and g. A is also a turning polnt of f. The graph of f intersects the x-axis at B(3:0) and C. The axis of symmetry of fis x 1 2) 2) Write down the co-ordinates of C. 5.1 Determine the equation off in the form)-x2 + bx + c 5.2 Determine the range of f....
Problem 3.8 Find and sketch g(t)=x(t)*x(t) for the pair of functions shown below. Did you notice...
Problem 3.8 Find and sketch g(t)=x(t)*x(t) for the pair of functions shown below. Did you notice anything interesting? x(t) xz(t)xz(t) x2(t) - 3 3 -1 -1 of xi(t) xz(t) xz(t)xzt) X(t) xz(t) xz(t) * x2(t) xi(t) xz(t) xi(t) = x2(t) Note: Everlasting signal AAA xi(t) xz(t) xi(t) *xz(t) Note: Everlasting signal AAA xi(t) xalt) xi(t) + x2(t) Note: Everlasting signal АААА
1. Use combinations of STEP FUNCTIONS to describe each continuous-time signal shown below. f(t) 0 2...
1. Use combinations of STEP FUNCTIONS to describe each continuous-time signal shown below. f(t) 0 2 4 6 0 1 2 3 0 1 2 3 4 2. Sketch the following signals: (a) x (t)=1 [u(t+2)-u(t-1)] (c) X(t)=\fety (b) X(t)=t.e (d) x (t) = u(t) u(t-1).ult-2).u(t-3) 3. Determine whether the systems below are linear and time invariant. Justify your answer! (a) y(t) = x(31) (b) y(t)= 2x(1-t) y(t)=cos(x(t)] 4. Simplify the expressions: (a) y(t)=1.8(t+2)+(t +1) 8(1-1)+(t+3). 8(t) (b) y(t) =...
1. Consider the two waveforms f(t) and g(t) shown in the figures below. (a) Characterize both functions by expressing each in a suitable mathematical functional form. Write the resultant equation next to the equal sign for each function (b) Using direct integration, compute the convolution integral using the functions you defined in part (a). (c) Sketch the resultant function or use a plotting package of your choice to plot your result for h(t). What do you observe about the relative...
(1 point) The functions f(t) and g(t) are shown below. 11.0 f(t) g(t) If the motion of a particle whose position at time t is given by z = f(t), y = g(t), sketch a graph of the resulting motion and use your graph to answer the following questions: (a) The slope of the graph at (0.25, 0.5) is 6 (enter undef if the slope is not defined) (b) At this point the particle is moving to the right and...
QUESTION 2 Given two periodic functions, f(t) and g(t) is defined by and f (t) = cos, -<t<t f(t)= f(t +26) g(t) = cos, 0<t<2n g(t) = g(t +21) Sketch the graph of the periodic functions f(t) and g(t) over the interval (-37,37). Sketch in separate graphs. (Please use any online graphing software not hand-drawn). Find the Fourier series of f(t) and g(t). (b) Then, briefly comment what do you observe from the graphs and the Fourier series expansion of...
The functions f(x)and g(x) are shown below. f(x) = 3x2 + 2x - 8 and g(x) = -x2 - x - 5. Apply the indicated operations on the given functions. [(f•g)(-2) + 3 (gºg(2)) -5(gºf)(-2)] x g(3)
ECE3204 F19 HW-3 Due: Wed. 10/2/2019 3 Problem 1: Find and sketch c(t) = f(t)* 12(t) for the pairs of functions illustrated below 2₂ (1) ECE3204 F19 HW-3 Due: Wed. 10/2/ Problem 3: By direct integration find the Laplace transform of the signal x(t) given by: cos(1) 0<t< x(1) = 10 elsewhere Note that cos(t) = (alt+e)
Problem #7; Consider the functions f(t = e' and g(f) = e 3 defined on 0 t < co. (a) (f*g)(t) can be calculated as h(w, tdw Enter the function h(w, t into the answer box below Hs)}. Enter the function H(s) into the answer box below (b) (f* g)(t) can also be calculated as L (c) Evaluate (f* g)(t) Enter your answer as a symbolic function of w,t, as in these examples Problem #7(a): Enter your answer as a...
QUESTION 5 The graph of x)+ bxtc and the straight line g are sketched below. A and B are the points of intersection of f and g. A is also a turning polnt of f. The graph of f intersects the x-axis at B(3:0) and C. The axis of symmetry of fis x 1 2) 2) Write down the co-ordinates of C. 5.1 Determine the equation off in the form)-x2 + bx + c 5.2 Determine the range of f....
Problem 3.8 Find and sketch g(t)=x(t)*x(t) for the pair of functions shown below. Did you notice anything interesting? x(t) xz(t)xz(t) x2(t) - 3 3 -1 -1 of xi(t) xz(t) xz(t)xzt) X(t) xz(t) xz(t) * x2(t) xi(t) xz(t) xi(t) = x2(t) Note: Everlasting signal AAA xi(t) xz(t) xi(t) *xz(t) Note: Everlasting signal AAA xi(t) xalt) xi(t) + x2(t) Note: Everlasting signal АААА
1. Use combinations of STEP FUNCTIONS to describe each continuous-time signal shown below. f(t) 0 2 4 6 0 1 2 3 0 1 2 3 4 2. Sketch the following signals: (a) x (t)=1 [u(t+2)-u(t-1)] (c) X(t)=\fety (b) X(t)=t.e (d) x (t) = u(t) u(t-1).ult-2).u(t-3) 3. Determine whether the systems below are linear and time invariant. Justify your answer! (a) y(t) = x(31) (b) y(t)= 2x(1-t) y(t)=cos(x(t)] 4. Simplify the expressions: (a) y(t)=1.8(t+2)+(t +1) 8(1-1)+(t+3). 8(t) (b) y(t) =...
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