Classify the origin as an attractor, repeller, or saddle point of the dynamical system x, +1 = Axk. Find the directions of greatest attraction and/or repulsion. 0.8 1.2 A= - 0.2 1.8 B. The origin is a repeller. Oc. The origin is a saddle point. Find the direction of greatest attraction if it applies. Choose the correct answer below. 2 O A. The direction of greatest attraction is along the line through 0 and 1 14 O B. The direction of greatest attraction is along the line through 0 and 12 12 OC. The direction of greatest attraction is along the line through 0 and 14 O D. The direction of greatest attraction is along the line through 0 and 1 O E. The origin is a repeller. It has no direction of greatest attraction. Find the direction of greatest repulsion if it applies. Choose the correct answer below. O A. The direction of greatest repulsion is along the line through 0 and 1 12 B. The direction of greatest repulsion is along the line through 0 and 14 Oc. The direction of greatest repulsion is along the line through 0 and 14 O D. The direction of greatest repulsion is along the line through 0 and 12 O E. The origin is an attractor. It has no direction of greatest repulsion.

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