Draw graphs of exp(nx) on the interval -1 ≤ x ≤ 1 for n = 1, 2, . . ., 8. Use Sub-plots ! using matlab
3. Let W (x, t) = (coswt)(a cos nx+b sin nx) and (x, t) = (exp -kn-t)(a cos nx+ bsin nx). Here n is a positive integer, 2,t are real variables, and a, b,w, k are real constants with k positive. a. Evaluate W(x,0), H (2,0) and əW/ət(x,0) for all c. b. Show OH/ət = k(32H/8x2) for all x,t. c. Find some positive constant c so that w2w/at2 = c(32W/8x?) for all x, t.
It is known that Fourier series of f(x)=x is 2° 2(-1)" + "sin(nx) (n 1 on interval [-T, T). Use this to find the value of the infinite sum 1 - + 1 1 5 7 3
Homework 4 - False Position Find the zeros of the function f(x) within the interval (-4, 6) using the False Position method with f(-4) > 0 what you must know before you start working on the homework: f(-1) <0 f(x) = sin(21(x/5) + exp(x/5) f(+6) > 0 (a) Write a Matlab function that computes the values for f(x) when xis given as an input. (b) Write a Matlab script entitled "myplot.m” that plots the functions f(x) within the interval (-4,...
[ Draw the diagram please] Using the ZZ/Y and NX graphs, illustrate graphically and explain what effect a reduction in foreign output (Y*) will have on output, exports, imports, and net exports. Clearly label all curves and clearly label the initial and final equilibria.
2. Given x[n]— 1-ae-ja' find the DTFT of: (a) y[n] = nx[n],(b) z[n] = (n − 1)x[n] dX(92) Hint: nx[n]< > ; dΩ
For the set of functions {sin(x),sin(2x),sin(3x),...}=sin(nx)}, n=1,2,3,... on the interval [0,pi]. Show that the set of functions is orthogonal on [0,pi].
Find the radius of convergence, R, of the series. 00 2(-1)"nx" n = 1 R= Find the interval, 1, of convergence of the series. (Enter your answer using interval notation.) I =
Please solve the Cauchy problem 3y'y''=2y, y(0)=1, y'(0)=1 on the interval (0,2). Plot the graphs of y(x) and y'(x). Please solve this equation using the program MatLab. The answer must be represented as a Word document (.doc). It must be a code. Remember: the task must be done as a program (a code) written in MatLab, not just mathematical calculations.
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e. For the causal filter...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e. For the causal filter...