HW4 - 60M - S06 - MW Handed out Tu 5-9 Due Tu 5-16 in class Hand it printout of active work sheet 1) y=(x^3+2x^2-x-2)/(x^3+x^2-4x-4) Factor both the numerator and denominator and simplify y as much as possible 2) Solve sin^2 x -2 sin x -3 =0. Check by plugging in the solutions and plotting the function 3) Approximate the solutions to the system of equations: x^2 + 4xy +y^2=4, 5x^2-4xy+2y^2=8 First plot the functions using "contourplot". Then try using "solve" and finally "fsolve".