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)

Mathematics

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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

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Evaluate the expression.71

A. 7
B. 1
C. -7
D.

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Simplify each side of the equation and then solve. Check your solution.5x - 11x = 72 - 18

A. -6 B. 9 C. -9 D. 6

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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:  ?  ? 

Mathematics