Assess the stability of the equilibrium points of the nonlinear system x? = (x ? 2)( y ?1) and y? = x2 ? 2y ?8
Sketch trajectories of solutions of z? = Az given the eigenvalues and associated
eigenvectors of A. Classify the origin and assess its stability.
(2, 2), saddle point, unstable ;
(?2, ? 2), saddle point, unstable
Mathematics
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Write the equation of the line from the given information. Write the line in slope-intercept form.Passing through 
and 
A. y = 
x + 
B. y = 
x + 
C. y = 9x - 
D. y = 9x - 
Mathematics
Without graphing, classify the function as increasing or decreasing, and determine f(0).f(x) = 7
x
A. f(0) = 7; decreasing
B. f(0) = 
; increasing
C. f(0) = 7; increasing
D. f(0) = 
; decreasing
Mathematics
Determine whether the expressions are equivalent.3(x - 8x), 3x - 24x
A. No B. Yes
Mathematics
Simplify by reducing the index of the radical.
A. 
B. 
C. 
D. 
Mathematics