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Stability of equilibrium points Find the equilibrium solution of the following equations, make a sketch of the direction field, for t ≥ 0, and determine whether the equilibrium solution is stable. The direction field needs to indicate only whether solutions are increasing or decreasing on either side of the equilibrium solution.
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Calculus: Early Transcendentals (3rd Edition)
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- Determine whether the functions y, and y, are linearly dependent on the interval (0,1) y=1-2 sint, y, = 12 cos 2t Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. Since y, = ( )y½ on (0,1), the functions are linearly dependent on (0, 1). (Simplify your answer.) O B. Since y,= ( )y½ on (0,1), the functions are linearly independent on (0,1). (Simplify your answer ). OC. Since y, is not a constant multiple of y, on (0,1), the functions are linearly independent on (0, 1) O D. Since y, is not a constant multiple of y, on (0,1), the functions are linearly dependent on (0,1).arrow_forwarddNo linearlfemential Find tovo to equation and als. thearrow_forwardEliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for fa(t)=-2-t ly(t) = 19 - 3t The Cartesian equation is y= T ? FE 2016 EXPRES 2015- 201 144 2017 10-01- 1000046arrow_forward
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- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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