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