Matlab

(1) Consider the system of equations: x + 2y +3z 1 Find the solution x to the system of equations. (2) Plot the following cosine functions, -cosx :: 0.5 cosx in the interval 0 x 2 (3) Simplify the complex number Z and express it both in rectangular and polar form +4) + 12)(2 60) (3 + j6)C1 + J2) (4) Write a MATLAB function to obtain the roots of the quadratic equation ax2+ bx + c = 0 (5) For an R-L circuit, the voltage v(t) and current i(t) are given as v(t) 10 cos(377 t) i(t) 5 cos(377 t +60) Sketch v(t) and i() for t- 0 to 20 milliseconds (6) The horizontal displacement x(t) and vertical displacement yo) are given with respect to time t as x(t) = 2 t y(t) sin(t) For t-0 to 10 ms, determine the values of x0) and y(. Use the values to plot.x(t) versus y(). Page 1