Make a sketch of f(x) for -15 s lessthanorequalto t<= lessthanorequalto when f(t) is given by the following expression: f(t)=(100+10t)u(t+10)-(50+10t)u(t+5)+(50-10t)u(t-5)-(150-10t)u(t-15)+(10t-250)u(t-25)-(10t-300)u(t-3).
Make a sketch of f(x) for -15 s lessthanorequalto t<= lessthanorequalto when f(t) is given by...
Laplace Transform Problem 3. (15 points) Given f(t) = 4e-2tu(t) + 29u(-t) a) Using the Laplace Transform table 9.2 find the bilinear Laplace transform, F($) and sketch the region of convergence (ROC) in the s-plane showing all poles. State the ROC as an inequality. b) Another function is added so that fa(t) = 4e-2tu(t) + 7u(-t) – 10e-10t u(-t). Find the Bilinear Laplace Transform of fa(t) and sketch the region of convergence in s-plane also showing all the poles. State...
Consider the following function. f[x) = x ln(3x), a = 1, n = 3, 0.8 lessthanorequalto x lessthanorequalto 1.2 Approximate f by a Taylor polynomial with degree n at the number a. T_3(x) = Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = T_n(x) when x lies in the given Interval. (Round your answer to four decimal places.) |R_3 (x)| lessthanorequalto
2. Consider the following 1-D wave equation with initial condition u (x, 0)- F (x) where F(x) is a given function. a) Show that u (x, t)-F (x - t) is a solution to the given PDE. b) If the function F is given as 1; x< 10 x > 10 u(x, 0) = F(x) = use part (a) to write the solution u(x, t) c) Sketch u(x,0) and u(x,1) on the same u-versus-x graph d) Explain in your own...
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)=(-0,-5) U (-5,00) lim S(x) = -, and lim f(x) = 0 lim f(x) = 3 S'(x) >0 on (-00,-5) U (-5,0) f'(x) <0 on (0,0) "(x) > 0 on (- , - 5) f"(x) <0 on (-5,00) f(x) > 3 on (-0,-5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0)
Functional Programming: F# Question: let list1 = [5; 10; 15; 20; 25; 30] let list2 = [50; 100; 150; 200; 250; 300] 1). Write a function that returns the maximum value in the list,
3. Use the graph of r = f(t) and y = g(t) given below, to sketch the parametric curve: r = f(t), y=g(t). Mark with an arrow the direction in which the curve is traced when t increases. Do not try to find a formula for f(t) and g(t). Explain your work. f(0) 800 y st ont Cht 10 X 5+ -10
7. (10) a) Find F(s) 1) if f) -tet [u(t)-u(t-4)] 2) iffit) d/dt [t sin (at )] u(t) (15) b) Find f(t) 1) if F(s)-10 s/[(s+1)(s+5)] 2) İfF(s) 10 (s+3)/[s2 (s+2)] 3) if F(s) - 10/(s2+s+ 1) 7. (10) a) Find F(s) 1) if f) -tet [u(t)-u(t-4)] 2) iffit) d/dt [t sin (at )] u(t) (15) b) Find f(t) 1) if F(s)-10 s/[(s+1)(s+5)] 2) İfF(s) 10 (s+3)/[s2 (s+2)] 3) if F(s) - 10/(s2+s+ 1)
I need a Matlab code example plz 1. Suppose x(t) -3u(t+3) - u(t)+ 3H(t-3) - 5H(t-6) a. Sketch x(t). b. For the signal x(t) given, determine and sketch the following signals: ,g(t) x(t-6) g2(t) - x(3t-6) ii. s(t) x(3t-6) +2 c. Create a MATLAB script that uses a function to express x(t), and plots x(t) in the time interval- 5 < t < 8s, using a time increment of At= 0.01s. Next, use the function to graph each of the...
Elementary Laplace Transtorms Y(S) = {f} -L e-stf(t)dt fc = C-'{F(s)} F(s) = {f} f(t) =-'{F(s)) F(s) = {f} -CS 1. 1 1 12. uct) le S> 0 S> 0 . s S 2. eat 1 13. ucOf(t-c) e-csF(s) S> a S-a n! 3. t",n e Z 14. ectf(t) F( sc) S> 0 sh+1 4. tP, p>-1 (p+1) S> 0 SP+1 15. f(ct) F). c>0 16. SFt - 1)g(t)dt F(s)G(*) 5. sin at S> 0 16. cos at 17. 8(t...
5. Consider the periodie function of period T given by f(t) = (a) Sketch fo). (b) Expand ft) in a Fourier series in the fornm 2rpt @pcos! ㅡ ㅡ l+, bnsin 2mpt p=1 (c) Derive the expression of the steady state response x() of a single degree-of-freedom (DOF) mass-spring-damper system subject to the excitation f(o). 5. Consider the periodie function of period T given by f(t) = (a) Sketch fo). (b) Expand ft) in a Fourier series in the fornm...