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# Ezt 0 <t<2 (o t <0 2 <t<4 let f(t) = t 0 <t<t; 9) = ~2t 4 <t<5 sin(t) T < t 5 < t(a) Write each function in terms of the unit step ...

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###### Ezt 0 <t<2 (o t <0 2 <t<4 let f(t) = t 0 <t<t; 9) = ~2t 4 <t<5 sin(t) T < t 5 < t(a) Write each function in terms of the unit step function (b) Plot each function (c) Find the Laplace transform of f(t) and g(t) Find the inverse Laplace transform of the following functions:(a) (b)(c) (+1)+1

ezt 0 <t<2 (o t <0 2 <t<4 let f(t) = t 0 <t<t; 9) = ~2t 4 <t<5 sin(t) T < t 5 < t (a) Write each function in terms of the unit step function (b) Plot each function (c) Find the Laplace transform of f(t) and g(t) Find the inverse Laplace transform of the following functions: (a) (b) (c) (+1)+1  #### Similar Solved Questions

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##### You will need to generate a set of graphs to answer this question:Concentration vs time data for the following decomposition reaction was collected at 300 K The data is shown in the table below:What is the rate constant for the reaction at this temperature (in units of min-1)?HzOz(aq) 5 HzO(l) + 1/2 Oz(g)time (min)[H2O2] (mol/L)00.043735000.0286810000.0187315000.0122620000.00802
You will need to generate a set of graphs to answer this question: Concentration vs time data for the following decomposition reaction was collected at 300 K The data is shown in the table below: What is the rate constant for the reaction at this temperature (in units of min-1)? HzOz(aq) 5 HzO(l) + ...
##### For the following data set: (use megastat)Apply the diagnostics technique for the predictor variable and comment, Find the residuals. Find the standard residuals, Draw the sequence plot ofthe standard residuals and comment. Test the autoconelation of the etrors Using un wppropriate test at 5"0 signifieance level, Estimate the Variance of the model' etton,
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##### Suppose that the population P(t) of country satisfies the differential equation =kP(400 - P) with k constant Its population in 1960 was 100 million and was then growing at the rate of million per year Predict this country's population for the year 2010.This country's population in 2010 will be million. (Type an integer or decimal rounded to one decimal place as needed )
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##### [email protected] 3Find the following given the information above:J 29 (2) dzQuestion 4Find the following given the information aboveJ5 [29 (2) #3] d2Questio
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##### In January, a car-maker performed a safety test on 1000 new cars and 92% passed the test: In March another 1000 cars were tested and 89% passed. Report the Z statistic you would use to test the null hypothesis that the percentage of cars that passed the safety test in the two samples are the same_Z-1.14Z-2.27Z-1.17Z-0
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##### Please show Step by step solutions with every single step#1 let y-3x^2+5x+3. if delta X-0.3 at x-5, use linear approximation to estimate delta y ? #2 let y-8x^2+5x+3. if delta X-0.3 at X-5, use linear approximation to estimate delta y ?
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##### ) Evaluate the commutators [A,B] of the following pairs ofoperators A and B.(a) A = q2 and B = d2 /dq2(b) A = q (the position operator) and B = p (the momentumoperator)
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##### Asystem of ice and water at 0 C weight 3 gr. Thesystem is converted to ice at 0C by removal of 668 Jof heat. Howmuch ice was injtially present. Heat of fusion of ice 334 J/g1g2g2.5g3.5g3g
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##### Problem 2) Consider the following LP:Min 2x1+4x2+8x3+x4s.t. x1 +x2 +x3+x4 >= 102x1 -x2 >= 3 x1, x2, x3, x4 >=0a) Write the dual LP. (2 points)b) Writecomplementary-slacknessconditionsfortheprimalanddualLP:(2points)c) Given that the optimal solution to the primal LP is(x1,x2,x3,x4)=(1.5,0,0,8.5), use theStrong Duality Theorem to find the optimal solution to the dualLP. (2 points)
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