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In Exercises 9–14, classify the origin as an attractor, repeller, or saddle point of the dynamical system xk+1 = Axk. Find the directions of greatest attraction and/or repulsion.
9. A =
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- 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. 1.8 - 0.8 A = - 1.2 0.8 .... . Classify the origin as an attractor, repeller, or saddle point. Choose the correct answer below. A. The origin is a saddle point. O B. The origin is an attractor. C. The origin is a repeller.arrow_forwardClassify the origin as an attractor, repeller, or saddle point of the dynamical system xg + 1 = Axg. Find the directions of greatest attraction and/or repulsion. 0.8 1.2 A= - 0.2 1.8 Classify the origin as an attractor, repeller, or saddle point. Choose the correct answer below. O A. The origin is an attractor. 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 14 B. The direction of greatest attraction is along the line through 0 and 12 12 O. 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. 3 O A. The direction of greatest repulsion is along the line…arrow_forwardClassify the origin as an attractor, repeller, or saddle point of the dynamical system XK+1=Axk. Find the directions of greatest attraction and/or repulsion. A = 0.6 0.6 -0.8 2.0 Classify the origin as an attractor, repeller, or saddle point. Choose the correct answer below. O A. The origin is a saddle point. O B. The origin is an attractor. O C. The origin is a repeller.arrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage