consider the dynamical system . (a) Compute and plot . (b) Compute and plot . (c) Using eigenvalues and eigenvectors, classify the origin as an attractor, repeller, saddle point, or none of these. (d) Sketch several typical trajectories of the system.

Calculus 3 EX . Show that the equation ×2+y2+ -22-6×22=11 . 4y a sphere . Find center and radius if so . we around gives want move = ( X -a)2 + which is ' . / (X-3) + ( yt2)2t 1Z -1)2 . 25 a Sphere W/ center (3 , -2,1 ) radius 5 a square yes , c+2-2-22-+1 thy2t446×+9e+! ×2+bx+(b㱺 _ (b㱺2 3- Various Sub spaces of space (112) Coordinate Planes Z - : Z=O EX . Describe in words the set of points Xy plane equation 1123 8 and draw - . 1h that sahsty y< , ! XZ plane : equation y .o