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3. [24 pts] For the following piecewise functions f(t), (i) sketch a plot of f(t), (ii) write f(t) in terms of the Heaviside step function: H(t). (Chapter 6.3) 1, t1 -1,1St<2 (a) f(t)-〈1,2 t<3 0, 4 St t-1, 1st<2 t-3, 3st <4
Calculate The CT value achieved by your dosing water temperature: 12-24 degrees KT= K20 * exp (-E/R(1/(273+T)-1/(273+20)] Decay rate: at 20 degrees 0.015*4.6+0.01 E/R value is found to be 7000K^-1 Chlorine: 67.81mg/L HCO3: 241.46mg/L Co2: 19.36 mg/L Mn2+: 0.2mg/L Ca2+: 95.2mg/L Mg2+: 13.44mg/L Na2+: 25.76mg/L Fe2+: 0.23mg/L So4: 53.77mg/L Turbidity: 15 NTU
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
3-6. Plot the waveform of y(t) = 4 rect((t + 1)/4) * 2 rect((t - 4)/2). 3-7. Plot the waveform of r(t) = rect((t + 3)/3) * 6 rect(t/3). Problem 3-6: -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 vt) vs. Problem 3-7: -6 -5 - -3 -2 2 3 4 5 6 7 -1 0 ott) vs.
What are the acceptable ranges of: 1. CT linearity, 2. CT uniformity and 3. Dosimetry.
Consider that a CT system with unit impulse response h(t)=u(t) is excited by the input signal defined as 0,<-3 t +3,-3<t < 0 x(t) = { t -- +3,0 < t < 6 0,t> 6 Find the output of the system and plot it. (10 points)
3. Draw the Bode plot (magnitude and phase) for the transfer function H(s) of a CT LTI given by H(s) 4000 only the asymptotic plot of the terms that make up the transfer function but also show the composite plot that adds all the terms that make up the transfer function. S+2000s+10 where the ROC includes the ja axis. Show
**Using MATLAB** 0 t (s) -4 -3 -2 -1 -1 Entire an equivalent function for the plot shown here using the step function, u(t) 0 t (s) -4 -3 -2 -1 -1 Entire an equivalent function for the plot shown here using the step function, u(t)
Describe the tensor fascia latae. * O 1/3 muscle 2/3 CT on the back of the thigh O 1/3 CT 2/3 muscle on the back of the thigh O 1/3 CT 2/3 muscle on the side of the thigh O 1/3 muscle 2/3 CT on the side of the thigh
Consider the following time series data. 15 13 10 12 a. Which of the following is a correct time series plot for this data? TimeSeries Value 14 12 10 TimePeriod (t) TimeSeries Value 14 12 10 TimePeriod(t) TimeSeries Value 14 12 10 TimePeriod (t) 2 TimePeriod(t) select your answer- What type of pattern exists in the data? -select your answer b. Develop the linear trend equation for this time series (to 1 decimal). Tt = c. What is the forecast...