1. Classify the (0,0) equilibrium of each of the following 2x2 sys- tems by type and stability: [2 (Ⓒ) X(0) - 2 7¹ 800) X' X(t) = 6
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- Find the linearization at x = a. f(x) : 1 a = 9 x4 (Express numbers in exact form. Use symbolic notation and fractions where needed.) L(x) =Find the linearization at x = a. y=(14 + x) 12, a = 1 (Use symbolic notation and fractions where needed.) L(x) =Find the linearization at x = a. y = (10 + x)-1/2, a = 9 (Use symbolic notation and fractions where needed.) L(x) =
- Find the linearization L(x) of y = (81 + 2x?)-1/2 at a = 0. L(x) =Let. a and B be real valued constants. Let g (x) = 2B6 Let h (x) V2ax. Determine. 4 (h (x) g (x)) d d (h (x) g (x)) = dx 2ax + 12ßx5 O Ba5 V2ax (1+12æ) 2ax 2xa O 13Bx /2ax Bx V2ax + V2axFind the linearization at x = a. f(x) = 5x³, a = 1 (Use symbolic notation and fractions where needed.) L(x) =