Consider the system of differential equations β€²=, where =[x1x2] and the 2Γ—2 matrix has eigenpairs Β±=Β±,=βˆ’0.3,=2, Β±=Β±,=[21],=[βˆ’1/21], Draw on paper the solution ()=(sin()+cos()) on the x1x2-plane and then answer the questions below. (a) Based on your graph, select the correct solution curve from the interactive graph below. Select One (b) Use the graph below to find limβ†’+[infinity]β€–()β€–, where β€–()β€– is the length of the solution vector (). Select One (c) Introduce the unit vectors 1=/β€–β€– and 2=/β€–β€–. Use the graph below to find the limβ†’+[infinity](), where ()=()β€–()β€–, is a unit vector in the direction of the solution vector (). Select One (d) Use the graph below to find limβ†’βˆ’[infinity]β€–()β€–. Select One (e) Use the graph below to find the limβ†’βˆ’[infinity](), where ()=()β€–()β€–. Select One (f) Characterize the zero solution, 0=0. Select One

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