The autonomous differential equation represents a model for population growth. Use phase line analysis to sketch solution curves for P(t), selecting different starting values P(0). Which equilibria are stable, and which are unstable? = 1 - 8P

What will be an ideal response?


 = 1- 8P has stable equilibrium at P =  = -8(1 - 8P)

Mathematics

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Simplify the expression.5y + 6(y - 1)

A. 30y - 6 B. 11y2 - 6 C. 11y + 6 D. 11y - 6

Mathematics

Solve the absolute value inequality. Write the solution set using interval notation.6 < 5

A.
B.  ? 
C.  ? 
D.

Mathematics

A right triangle has legs a and b with hypotenuse c. Find the length of the missing side. Round the answer to three decimal places, if necessary.a = 3, b = 7

A. c = 21 B. c = 10 C. c = 7.616 D. c = 4.472

Mathematics

Simplify the expression. Assume that all variables are positive when they appear.-

A. -3x30y12 B. 9x10y12 C. 3x10y18 D. 3x10y12

Mathematics