1. Let’s begin with some ideas from calculus. a. What is the integral (antiderivative) of the…

1.           Let’s begin with some ideas from calculus.

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a.          What is the integral (antiderivative) of the function y(t) = t2  + t?

b.          Solve the equation y4 – 4y2 = 0.

 

c.           For which values of t is the function y(t) = t3 t positive?

 

d.          Sketch the graph of y(t) = t2 – 1.

 

e.           Sketch the graph of y(t) = t(2 – t).

2.          Sketch the phase line for y' = 1.

3.          Sketch the phase line for y' = –y.