For the differential equation: 
(a) Find the equilibrium value(s).
(b) Access the stability of each equilibrium value.
(c) Determine the point(s) of inflection; and
(d) Sketch sample solutions of the differential equation.
(a) y = 0, 2
(b) Asymptotically stable, unstable
(c) y = 1
(d)
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Calculate the derivative of the function. Then find the value of the derivative as specified.f(x) = ; f '(0)
A. f '(x) = - ; f '(0) = -2
B. f '(x) = - 8(x + 2)2; f '(0) = - 32
C. f '(x) = ; f '(0) = 2
D. f '(x) = 8; f '(0) = 8
Evaluate the expression.71
A. 7
B. 1
C. -7
D.
Simplify each side of the equation and then solve. Check your solution.5x - 11x = 72 - 18
A. -6 B. 9 C. -9 D. 6
Find the domain of the indicated combined function.Find the domain of (x) when f(x) = 6x2 - 9x and g(x) = x2 - 8x - 8.
A. Domain: (-?,?)
B. Domain: ?
?
C. Domain: ?
D. Domain: ?
?