choose 1 for each question: a) (1, 2, 3 , 4 , 5) b) (increase, decrease, or stay same) c) (up or down) d) (would change at y=1, would change at y= -1, would change at y= -3, would not change) e)...


choose 1 for each question:


a) (1, 2, 3 , 4 , 5)


b) (increase, decrease, or stay same)


c) (up or down)


d) (would change at y=1, would change at y= -1, would change at y= -3, would not change)


e) (would eventually approach y=1, would eventually approach y = -3, would eventually approach y = -4, would increase without bound, would decrease without bound)


f) (increase, decrease, or stay the same)


g) (up, down)


h) (would change at y=1, would change at y= -1, would change at y= -3, would not change)


i) (would eventually approach y=1, would eventually approach y= -3, would eventually approach y= -4, would increase without bound, would decrease without bound)


Use the graph of the function z = -(y + 3)(y – 1) below to sketch a graph of<br>solutions to y' = -(y + 3)(y – 1) with initial conditions y(0) = -2 and y(0) = -3.5.<br>You will not turn in your sketch but will use it to answer the following questions.<br>-2<br>--1<br>The differential equation y' = -(y + 3)(y – 1) has 2 constant solutions.<br>If y(0) = -2, as t increases, y would<br>+ and would initially be<br>• The concavity of this solution<br>+ . This<br>concave<br>solution<br>If y(0) = -3.5, as t increases, y would<br>+ and would initially be<br>• . The concavity of this solution<br>+ . This<br>concave<br>solution<br>

Extracted text: Use the graph of the function z = -(y + 3)(y – 1) below to sketch a graph of solutions to y' = -(y + 3)(y – 1) with initial conditions y(0) = -2 and y(0) = -3.5. You will not turn in your sketch but will use it to answer the following questions. -2 --1 The differential equation y' = -(y + 3)(y – 1) has 2 constant solutions. If y(0) = -2, as t increases, y would + and would initially be • The concavity of this solution + . This concave solution If y(0) = -3.5, as t increases, y would + and would initially be • . The concavity of this solution + . This concave solution

Jun 04, 2022
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