Assess the stability of the equilibrium points of the nonlinear system x? = x ( y + 3) and y? = x + y + 2

What will be an ideal response?


(0, ? 2), node, unstable ;
(1, ? 3), saddle point, unstable

Mathematics

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Use the figure to answer the question.The weights (in pounds) of a group of high school students are listed below in a  plot.What is the most frequent weight?

A. 159 B. 114 C. 142 D. 99

Mathematics

Refer to the following Chaos game to answer the question(s): Start with a square ABCD in which A is located at (0, 0), B is located at  C is located at (27, 27), and D is located at (0, 27). Then, roll a fair die. We will say that A is the "winner" if we roll a 1, B is if we roll a 2, C is if we roll a 3, and D is if we roll a 4. If we roll a 5 or 6, we disregard the roll and roll again. Each roll of the die generates a point inside or on the boundary of the square according to the following rules.? Start: Roll the die. Mark the "winning" vertex and call it P1.? Step 1: Roll the die again. From P1 move two-thirds of the way straight toward the next winning vertex.

Mark this point and call it P2.? Steps 2, 3, etc.: Continue rolling the die, each time moving to a point two-thirds of the way from the last position to the winning vertex.Refer to the following figure to answer the question.Point S is determined by which of the following sequence of rolls?

A. 1, 1, 3
B. 3, 1, 3
C. 3, 3, 1
D. 1, 3, 3
E. none of these

Mathematics

Factor the trinomials that are perfect-square trinomials. If it is not a perfect square, respond "not a perfect square."b2 - 28b + 196

A. (b + 14)(b - 14) B. (b - 14)2 C. (b + 14)2 D. not a perfect square

Mathematics

Find the exact value of the expression.sec-1

A.
B.
C. - 
D.

Mathematics